C U R R I C U L U M V I T A E

BOYAN NEDIALKOV DIMITROV, Ph.D., Dr. of Math. Sci., Professor of Statistics

SPECIALIZATION - Mathematics, Mathematics Education, Mathematical
Modeling, more specific, in the areas of
Statistics, Probability, and their Applications
in Operations Research (Reliability, Queuing, Quality, Environmental
Modeling, Ageing, Statistical Data Analysis).

PERSONAL INFORMATION

Addresses: Office: Home:

Dept. of Sci. & Math. 6366 Rustic Ridge
Kettering University Grand Blanc, MICHIGAN 48439
1700 West Third Ave. U.S.A.
Flint, MI 48504-4898,
Telephone (810) 762-7910 (810) 695-9108 (home)

E-mail: bdimitro@kettering.edu

Sex: Male
Citizenship: Bulgarian, US
Family Status: Married, with 5 children
Residency Status in the USA: Green Card 1995-2001, US Citizen, Feb. 05, 2001.
Languages: English, Russian, German, Bulgarian.

DEGREE INFORMATION

Dr. of Mathematical Sciences, Probability and Statistics, - Faculty of
Mathematics and Computer Science, Sofia University, Sofia, Bulgaria.
Dissertation: "Mathematical Methods for investigations of
queuing systems", May 1986, (in Bulgarian).
Ph. D. Physics & Mathematics, Probability and Statistics, Mechmath
of the Moscow State Univ. Michael Lomonosov.
Dissertation: "Some applications of the random sums method"
(in Russian), June 1971, Supervisor: Prof. B. V. Gnedenko.
M.A. Mathematical Education with specialization in Probability
and Statistics, Faculty of Mathematics and Computer
Science, Sofia University, Sofia, Bulgaria. July, 1966.
Thesis: "Limit theorems for infinitesimal renewal processes"
(in Bulgarian).

PRESENT POSITION

Full Professor of Mathematics (Probability and Statistics) since July, 2001,
at Kettering University,

EMPLOYMENT RECORD

July 1995 - June 2001: Associate Professor of Mathematics (Probability and Statistics),
GMI Engineering and Management Inst. (now Kettering

October 1993 - June 1995: Adjunct Professor of Mathematics (Probability and Statistics),
GMI Engineering and Management Inst.
January - June 1993: Visiting Professor at Concordia
University, Montreal, Canada, Dept. of Mathematics and
Statistics.
September - December 1992: Visiting Professor at McGill University,
Dept. of Mathematics and Statistics, Montreal,
Canada and Researcher at Concordia University.
January - August 1992: Visiting Professor at Concordia University,
Montreal, Canada, Dept. of Mathematics and Statistics.
January 1989 - December 1991: Professor of Probability and
Statistics, Faculty of Mathematics and Informatics,
University of Sofia, Bulgaria;
September - December 1988: Visiting professor at Concordia
University, Montreal, Canada, Dept. of Mathematics and
Statistics.
December 1976 - August 1988: Associate professor, Faculty of
Mathematics and Informatics, University of Sofia, Sofia,
Bulgaria;
August 1971 - December 1976: Researcher/Lecturer in Mathematics;
Center of Mathematics and Mechanics, Sofia, Bulgaria;
October 1968 - July 1971: post-graduate (PhD) student,
Moscow State University, Moscow, Russia;
September 1966 - October 1968: Researcher/Lecturer in Mathematics;
Center of Mathematics and Mechanics, Sofia, Bulgaria.

TEACHING: COURSES TAUGHT OR DEVELOPED

Undergraduate Classes

- Analytic Geometry

- Calculus I, II and III

- Linear Algebra

- Vectors and Matrices

- Multivariate Calculus

- Elementary Statistics

- Mathematical Modeling

- Engineering Mathematics I and II

- Introduction to Real Analysis

- Differential Equations

- Introduction to Probability

- Introduction to Stochastic Processes

- Introduction to Mathematical Statistics

- Linear Algebra and Linear Programming

Graduate Classes

- Mathematical Statistics and Statistical Inference

- Statistical Methods in Quality Control

- Multivariate Statistical Analysis

- Industrial and Business Statistics

- Statistical Models for Non-numerical Data

- Advanced Statistics

- Mathematical Models and Simulation

- Concepts of Advanced Probability

- Stochastic Models of Operations Research

- Reliability Systems

- Mathematical Methods in Queuing Theory. Queuing Models

- Inventory Systems

- Selected Topics of the Stochastic Processes

- Selected Topics of the Applied Probability

- Mathematical Statistics with Applications

- Operational Calculus (Laplace Transforms, Fourier Analysis, etc.)

RECENT AND CURRENT RESEARCH

RESEARCH DIRECTED AND/OR PARTICIPATED IN

In the area of Probability Theory I have published works on:

A. Limit Theorems (Mostly related with my PhD Thesis):
- Application of Transfer theorems for random sums of random
variables in solving some limit problems of Renewal theory (uniform renewal limit theorems [11,12,17,105], in the study of transient behavior in Branching processes (with large number of ancestors) and special type of service systems (with fast service [6,10,13,18,22,23]). These works study conditions of the Gnedenko-Fahim theorem, or leading-term asymptotic expansion in the domain of attraction of the steady state of a process, to assess when to replace non-stationary characteristics by stationary ones, and how close the two are.

B. Probability Distributions (an old interest, and continuing research)
- Characterization of Probability Distributions and Stability
of Characterization problems, namely Exponential [45,49,60,71,75,79,93, 97,100], Poisson [89,90,105,109], the logistic distribution [105, and 111], and the introduction of the Almost lack of memory class of probability distributions [80,81,84,86,88,91,92,93,98,99,101,103,105,107,109,113,116], which has a broad impact on applications in environmental modeling, insurance business, financial mathematics and other fields.

C. Stochastic Processes of Special Type and Its Applications.

- Markov Chains and its applications in Probability Modeling. Here belongs the most of the power of Probability Modeling for Reliability, Queuing, Inventory problems, the new Markov Arrival Processes (invented recently by M. Neuts), and more. My book [3] is devoted to this techniques, and other books [1,2,6,11] are illustrating it. The Methods of Complementary event and complementary variable in combination, proposed and used in most of my works on priority queues are broadly based on the ideas of searching an underlying Markov process.
- Studies on Priority queues and Service with unreliable servers
Here belongs the monograph [1] on priority queues issued in 1973, Moscow University, in collaboration withcoauthors B.Gnedenko, E.Danielyan, G.Klimov, and V.Matveev. Also the monograph [2], issued in Sofia, 1973with A.Obretenov and E.Danielyan; the Handbook on Queues [4], 1978, which was translated into Polish in Poland [8], 1989. They reflect an extensive work on Priority Queues I did in my papers [2,5,6,8,9,10,13,14,15,16,18,21,22, 23,24,25,26,27,30,31,32,33,35,38], and more. As a main contribution here I consider the worked out Method of Complementary Events, which allows an interpretation of probability generating functions (the Laplace transform and the conventional generating function for discrete distributions), in combination with the Method of the Complementary Variables, broadly exploited in the cited monographs, and in most of the papers.
- Other Queuing Problems developed to study so called Closed Queuing Systems with Priorities (papers [10,14,26,27,30,]), Asymptotic Methods in Queues [22,23,35], Methods of Discretization [38,39,52,54,57,64], and various approaches to the Numerical Solutions for non-stationary process characteristics [34,36,38,39,48,54,56,64,65,68,74,101,103,111];
- Applications of Queuing Theory for Modeling Computational Systems and their Optimization in a non-reliable environment - were worked out mostly under contracts with Engineers of Bulgarian computer industry, 1976 - 1990, and used later as a source of other research projects. Here is my Doctorate on Mathematical Methods in Queuing Theory, acknowledged in 1986, most of the publications in the previous topics, and also in [34,36,40,41,42,48,51,63,66,70,78,82,101,104,111,117].
- Inventory systems - training, lecturing and supervising graduated projects for students in economics at Economical University of Sofia. Publications [10,21,44,47,59,67,72,85,96,112], and the textbook [6] are results of my work in this area. - Reliability studies - theoretical and practical works related toredundancy systems [2,3,4,6,7,11,19,117], statistical criterions for testing hypotheses in view of the specific information from reliability data [28,29,37,50,53,59,83,96]; optimization problems when work with non-reliable servers and other items were mentioned in the Applications of the Queuing Theory above. The new stuff essentially is concentrated on the introduction of models with check-points that may save execution time, the use of methods of discretization, the selection of specific statistical methods for standardized use, and the new point of view on reliability systems with random redundancy introduced in [91,117], important for communication systems and computer networks. The development of standardization documentation for practicing reliability and specialized computer packages for purposes of the Applied Statistics was actively made in years, and reflected in the papers [53,58,59,62,72,76,83,112]. In addition, most of my works in Statistics are related with the respective practical reliability problems [28,29,37,50,53,58,83].

D. Warranty Analysis.
- Probability Models in Warranty Analysis (with Dr. S.Chukova), is an approach to incorporate the qualitative and quantitative marketing, technical and economical product characteristics in an integrated model and objective function to determine the optimal behavioral parameters of the corresponding models and processes in real world systems. It has been started by Grant 43 - 87 of Bulgarian Science Foundation, and still continues. The works in the field of reliability, noticed above, and the specific works in this field [77,89,90,94,108,110, plus the Dr. Chukova's works] brought us to the collaboration with world known experts like V. Rykov [94], W.Blischke and D.N.P.Murthy (BOOKS # 10, and [108]). Recently an unexpected relationship between warranty modeling and studies on probability distributions in periodic random environment is noticed [90,114,116], and promise good field of application for our class of Almost-Lack-of-Memory probability distributions. In this way, the processes used in warranties, and environmental and financial processes in the insurance mathematics will

be linked, and many problems may mutually gain from the solution for the others. The work continues in collaboration with colleagues and graduate students from Concordia University, Montreal on projects for Cost Analysis in Related Models.

E. Environmental Studies.
My interests on Environmental Probability and Statistical
Models and methods of their study were initiated. Modeling for
periodic random data related to water pollution and statistics
for parameters of Probability Distributions with Almost lack of memory property for Studying Environmental Properties, had proved fruitful in most of the work of myself and involved other colleagues. Here belong the most resent papers [88,90,92,98,103,105,107,109,114,115,116,117].

Statistical Studies.

Related to Standardization, Applied Statistics, Reliability and Quality

- The work on Standards in Applied Statistics, Statistical Methods in Reliability and Quality Control brought to me a lot of practical experience (1975-1991). Being head of the Laboratory on Statistical Quality Control we developed International (for the former "East Countries"), and National (for Bulgaria) Standards as follows: Standards on Applied Statistics (e.g. Probability Distributions for Applied Statistics, Regression Analysis, Methods of comparing statistical samples), Standards on Reliability (e.g. Estimations of reliability characteristics, Terminology and Symbols, Design of experiments and testing, Tolerances and admissibility), Standards on Statistical Quality Control (SQC) (e.g. terminology and symbols, Statistical estimations of quality parameters of the outgoing production, Methods of statistical sampling from bulk products, Methods of statistical on-line control) and other documents related to the standardization. I wrote methodic (documentation) for practical implementation of the standardized mathematical methods,algorithmic and computational supervision for these methods. Computer programs for SQC, Reliability and Applied Statistics have been created in support of these practically directed works. My Ph.D. studentDimitar Christozov got his degree for the successfully developed program package RELIA-SOFT, where reliability characteristics are estimated from experimentally collected data, and/or field data for item performance. Also Grant #43 (1987-1991) with Bulgarian Science Foundation was awarded in relation to this subject, and involved more researchers in this work. Many of my publications in this field were related with the needs of specific standardization requirements, and with the statistical establishment when these requirements are met. These are the publications from the list [28,29,37,50,53,55,58,83 - for reliability], and [43,50,53,58,59,61,62,69,72,76,83,112 - for quality]. Among the papers related to reliability I would like to mention [50] and [55] where the statistical estimators proposed have the shape of the theoretical intensity function, as stated in the original problem.

- Studies on Statistical Optimization Problems under Incomplete Information [67,87,109]. This topic appeals to a resurrection of the known Markov-Tchebyshev moment problem in the construction of probability measures, and is one of the prospectives for research in the nearest future. Moreover, it has a clear connection with the construction of an Integral Indexes for the Quality of Products (started in [63] with M.Varbanova, I.Stefanov and L.Boneva and continuing be developed in [112]), Contract with INFORMA and the Laboratory of Statistical Quality Control initiated this work, but it is also a good field for further studies. The recent Wuerzburg Workshop (March '99) has shown the actuality and importance of this direction.

IMPACT OF THE RESEARCH ON CURRICULA AND/OR STUDENTS

Research related to my teaching.

University Textbooks combine teaching and research experience.
- After years of teaching and practicing Statistics I wrote the book Mathematical Statistics, 1982 (see BOOKS # 5) and the statistical part of the textbook Probability and Statistics for students of natural science at Bulgarian universities (see BOOKS, # 9, and # 12). Another textbook Statistics for non-mathematical students with an emphasize on statistical models and manipulations for non-numerical data is issued at Southwestern Bulgarian University in Blagoevgrad in 1993 (see BOOKS # 10). Also my teaching courses on Markov Processes at the University of Sofia for students in mathematics lead me to the book # 3, and the courses on Inventory Models and Quality Control for graduate students and post-graduate students at the University of Economics and World Economy in Sofia lead me to the writing of the books # 6 and # 7.

Warranty models for technical items are field of my new interests too. The PhD thesis work of my former student, now colleague and wife, Dr. S. Chukova, the years of collaboration with her gave the result [Books # 11], which is useful for thesis work of graduate students in Engineering, and for select topic course too.
- Work on the Curriculum for university students is a collective work.
- While heading the Department of Probability and Statistics at the Faculty of Mathematics and Informatics at Sofia University (and 2 years as Dean of the Faculty) Computational Stochastics was added to the curricula for students and specialization at the Department was introduced. And it was result of the collective work of all members of the Department. Also curricula for other specializations in mathematics have been work out (Informatica, new specializations in Mechanics, Post-university education for high-school teachers), and this was result of the work of all departments and the work of the Faculty Senate.
High-school Textbooks reflect some teaching experience and personal feeling of the need.
- Through my textbooks for high school students (listed under # 13-17), basic statistical aspects were introduced to high school students for the first time in Bulgaria.

Teaching and consulting Statistics, Modeling, or SQC at the University.
- During my first visits at Concordia University I taught Industrial Statistics and Quality Control, and worked under Contracts with the Center for Building Engineering, where I worked out methods for Statistical simulation of dependent random components in cost analysis problems (ref. to Dr. Z. Khalil, and Dr. Osama Moselhi, Tel. (514) 848-3190). Also a model for Statistical factor analysis of real data was explored. Add here my teaching experience with students of the specialization Probability and Statistics, the teaching of Quality Control, Reliability and Operations Research for students at the Division for Post-UniversityyEducation and Training of the Economical University of Sofia, my long term tenure as a head of the Laboratory on Statistical Quality Control, the work experience with International Standardization Organization, etc., and you'll understand what brought me to the idea to open The Statistics Clinic at Kettering University for free statistical consulting. It was open in the Fall of 1998 at the Science and Mathematics Department of Kettering University.

Here I work with computers and use almost any available statistical package in my Statistics Clinic, to serve as a consulting office for students, faculty and staff at Kettering University. It really gathers my experience in teaching, theoretical and practical work in years, and also offers (sometimes) new challenging problems to think on. Here also some software I developed for myself in collaboration with Dr. D. Christozov and other colleagues from Bulgaria is available to be demonstrated.

Ph.D. THESES ADVISED

- Priority queues with finite sources and priorities (Dr. Khristo Karapenev). Optimal control of the service in systems with unreliable server (Dr. Krasimir Barosov). Numerical approaches in the study of queuing systems with priority, based on time and phase Discretization (Dr. Chavdar Dokev). Minimization of the total processing time in non-reliable process with implicit or explicit breakdowns and repeat actions (Dr. Nikolai Kolev). RELIA - SOFT program system for computing the statistical reliability of operating products (Dr. Dimitar Christozov). Optimization of the inventory characteristics under incomplete information (Dr. Tran Zoan Fu). Optimal control of Winner processes with external actions (Dr. Mariana Beleva). Methods of discretization in the study of queuing systems with unreliable server and priorities (Dr. Petko Ruskov). Probability models in Warranty Analysis (Dr. Stefanka Chukova). Informative parameters in quality studies (Plamen Petrov), others.

Ph.D. students:
1. Khristo Karapenev (Dr. since 1976);
2. Chavdar Dokev (Dr. since 1980);
3. Dimitar Christozov (Dr. since 1987);
4. Tran Zoan Fu (Dr. since 1988);
5. Petko Ruskov (Dr. since 1990);
6. Krasimir Barosov (Dr. since 1991);
7. Mariana Beleva (Dr. since 1992);
8. Nikolai Kolev (Dr. since 1994).

Master students: At Concordia - Laila De Normand and Faiz Ahmad, and many more back to Bulgaria to make a total of 26.

5-th year Faculty thesis advisor for students graduating Kettering University

Kettering students should be involved in the research process. It is difficult during the regular study period, due to the time limits, the co-op breakes, and the the overload in study process. Thesis work at the senior year provides an excellent opportunity to involve students in a real applied research. In this way the following students have been tasted the sense of such work:

Ryan Brookshire, (for GM - Vehicle Operations/MFD Hdqtrs Warren MI ) Current thesis student.

Michele Clause, Information Behavior and Use among General Motors Employees (for GM Resources and Development, Warren, MI).

Nicholas O'Neil Benson, Correlation Evaluation between Gear Noise Test Machines and Transmission Testing (for General Motors Corp. Ypsilanti, MI), Graduated Sept. 2005.

Mark Ostin, Reducing the JD Power Wind noise Score for the GMT 800 (for General Motors, GM, Pontiac, MI), Graduated December 2004

Mark Soviar, The Statistical Implications of Test Repeatability and Product Variability on Target Setting and the Interpretation of Customer Functional Requirements (for the Faurecia Exhaust Systems, Inc, Toledo, Ohio) Graduated June 2004

Joel Benkelman, The Statistical Implications of Test Repeatability and Product Variability on Target Setting and the Interpretation of Customer Functional Requirements (for the Faurecia Exhaust Systems, Inc). Graduated

Jeff Kelso, Alternate Cooling Process for Thermoforming Applications, (for SOROC Products- Burton MI), Graduated June 2004.

Eric Sligay, Component Pricing Model for Vehicle Extended Service Contracts (For GMAC Insurance, Pontiac MI). Graduated June 2003. Eric applied everything he could to realize our ideas about Warranty Cost models.

Jeff A. Buero, Medical Professional Liability Increased Limit Factor/Deductible (for Towers Perrin - Southfield MI), Graduated Spring 2002

Michael Wheeler, Optimize Prediction through MRP Planning (for Stidd Systems, Greenport, NY). Graduated 2002.

Brian Kaufman, Quality Control on the scrap in the Tandem Master Cylinder Machining Line, (for the Fundley Corporation, Ohio). Graduation 2000.

Susan M. Camp, Development of a Predictive Life Test for Dynamic, Elastomeric, Oil Seals (For Federal-Mogul Corporation; Sealing Systems, Ann Arbor, MI). Graduated December 2000.

Charles Young, How the Vulcanization of Rubber Compound Affect the Static Rates, Dynamic Rates, and the Fatigue Life of a Molded Rubber Part (for the Yale-South Haven, Inc.), Graduation date June 1999. He applied the methods of Design of Experiment, Statistical modeling and Statistical Data Analysis in his study what process components, and up to what degree influence the properties of the ruber parts, produced by his company.

Roy Thorcell, Quality and Production Rate Improvement of the PL 2000 Headliner Assembly Line (for the United Technologies Automotive), Graduation date June 1999. Ne also applied the methods of Design of Experiment, and Statistical Data analysis to study the impact of some process characteristics on the creation of defects and other non-conformities of the car's headliner products.

Takesha M. Lyles, Statistical Engineering Problem Solving Techniques used to Improve Initial Customer Enthusiasm at Buick City Assembly Center, Graduation date June 1999. She did an excellent work for a complete statistical analysis of what causes the consumer's dissatisfacion from car performance, and found some technical details with supportive engineering solution, that really improved the assembly process, and removed the sources of defective production.

Darin William Witkowski, Initiate an automated test facility (for Case Corporation, Racine WI), Graduation date December 1998. He found a powerful system for test-searching defects in the computer-aided applications in trade-market business, by the means of simulations.

Douglas Neal Wright, Automatic Focus Station, (for Valeo-Sylvania Automotive Lightening), Graduation date December 1998. He worked on a new solution for bypassing the hand-opereted manipulation with the use of specific engineering solution, that might robotize it.

Brandi May Oldt, Characterization of office chair feature usage and structural response to usage loads (for Steelcase Inc., Grand Rapids MI), Graduating date December 1998. By the use of all statistical means she completed a complex field study to collect data for how many usage of specific tools (at least four), mounted on an office chair, may bring it to damage, or dissatisfaction. Than a standardized instruction was expected to come out of this study for the company.

Amy Lin Richards, Justification for building a new U.P.S. facility in Wixom, Michigan, with CO-advisor Dr. P. Richard, Graduation date June 1997. She used methods of statistical simulations of the calls, and times to response in order to determine where to build a new facility, and the number of vehicles to serve the needs.

David Thomas, Warranty Analysis of Statistical Data, with CO-advisor Dr. S. Chukova. Graduation date June, 1997. An attempt to statistically manipulate data from warranty claims for some Ford made cars, and to predict future warranty costs was made.

Impact on Curricula. The research with Thesis students and of my own has been used in the Laboratory work and Problem solving process in the class work. This is important for classes like Math-226 (Statistics for Management students, Part I), Math-227 (Statistics for Management students, Part II), and Math-408, Probability and Statistics for Engineers. The thesis advising process also is using the results and experience from the past.

COLLABORATION WITH OTHERS

Within the Department

At the SM Department of Kettering University I enjoyed and continue the fruitful collaboration in almost all the areas of my research with Dr. Stefanka Chukova, in the area of Queuing and Production Modeling with Dr. Srinivas Chakravarthy, and in the area of Characterization by analytical means and Optimization (where mostly the technique of differential equations is involved) with Dr. David Green, Jr., and Dr. Peter Stanchev in the area of Computer based immage technologies and on applications of the information technology in education, and also with many others. Our joint publications in the resent years may give the evidence for the results of this collaboration. This collaboration is an important part of the surrounding that makes me feel better and provides conditions to do research in the frame of very limited time left from our duty to teach much more than colleagues from other universities do.

Within the Institute

The Statistics Clinic is a good source of contacts with colleagues from other departments at Kettering University, to help them in solving their particular problems, and to start working on prospective joint projects. In this way a fruitful collaboration with Prof. Etim Ubong from the Department of Mechanical Engineering, was initiated in 1998, and some results on Design of Experiment (DOE) for a study of the fuel control of a V-6 Buick motor engine have been obtained. A Technical Report was issued within KU, and a papern was published, and another one is accepted for publishing in 2006. This collaboration continues with other projects involving statistics, or DOE in the work of an engineer researcher.

With researchers outside the Institute.

I like work in collaboration with others. It helps me immediately to adopt the current issue, to get a new challenging idea, or just an appeal, to share immediately my results with the closest expert in the field. It started with the collaboration with Dr. Eduard Danielyan during my PhD work in Moscow, Russia, it continued with the collaboration with many others, it continued in Bulgaria in closed collaborative work with my PhD students Khristo Karapenev, Chavdar Dokev, Kosta Yanev, Nikolai Kolev, Tran Zoan Fu, and to certain extend, with Dr. Chukova. This collaboration gave lots of results in my work with the colleagues Apostol Obretenov, Svetlozar Rachev, Maria Varbanova, Ivan Mirazchiiski, Liliana Boneva, Nikolai Yanev, Gero Gerov, Zaprian Zaprianov, Elena Karashtranova, and others. Thanks to them I always felt the friendly, nice and productive environment a young researcher needs in his or her career, especially when starting and gaining experience.

The closeness of my research interests with to those of researchers from other institutions and the occasional contacts with some of them at International meetings gathered me with professors Zohel Khalil and Jose Garrido from Concordia University in Montreal, Canada, with Prof. Jean-Pierre Dionfrom Universite de Quebec a Montreal , with Prof. Elart von Collani, and Herbert Vogt, from Wuerzburg University in Germany, with Prof. Mohammed El-Saidi from Ferris State, Big Rapids, Michigan. Recently, I actively work with Prof. Vladimir Rykov , from the Moscow University of Oil and Gas in Russia, with Prof. Zinovi Krougly from the University of Western Ontario, in London, Canada , with Prof. Mohammed El-Saidi from the Ferris University of Michigan, with Prof. Eugene Dshalalow from the Florida Institute of Technology Florida, with Prof. Jordan Jordanov from the University of Sofia, Bulgaria,with Prof. Nikolai Kolev from the University of Sao Paulo, Brazil. I am happy that I renewed my collaboration with my former Bulgarian colleagues and we started some new projects. Discussions, contacts, live interest to the subjects gave results in a series of joint publications with these researchers. I thank all of them for the good collaboration, for the mutual respect and permanent support and interest in what we use to and are doing, and in what we project to do in the nearest future. Especially I like to thank colleagues from Moscow, Montreal, London (Ontario), Michigan, and Brazil for their constant initiatives during the years and for the support they gave in the periods if time I needed at most.

INVITED TALKS and PRESENTATIONS

The 2nd International Conference on Advances in Big Data Analytics (ABDA'15) , July 27-39, 2015, Las Vegas, Nevada: "From Events to Local Dependence between Random Units in Big Data" part of the WORLDCOMP'15.

The 9-th International Conference on Mathematical Methods in Reliability (MMR'15) Tokyo, Japan , -not attending. "On the Local Dependence structures in Politics and Reliability", presented by my coauthor Dr. S. Esa.

Kettering University Homecoming May 16, 2015 "On the Local Dependence structures in Politics and Reliability" (Poster).

FISC (2014) The Kettering University International Conference - Organizer, Fundraiser and Plenary Talk presentation:" Dependence between Random Events and Its Use", Jine 24 - 28, 2014.

Kettering University Homecoming May 5, 2014 : " On the Accumulated Dependence in Reliability " (Poster).

MMR'2013 Stelenbosh, South African Republic (July 1-6, 2013) Two contributed talks (please, see Publications).

      Kettering University  Homecoming   May 55, 2013 "Distributions with Periodic Failure Rates in Reliability" , (Poster). 

Conference on Statistical Distributions and Applications (ICOSDA)", CMU, Mt. Pleasant, Michigan. October 11-12, 2013: "Probability Distributions in Periodic Environment".

Interntnl Conf. "PROBABILITY THEORY and its APPLICATIONS" (Moscow, June 26-30, 2012) In Commemoration of the Centennial of B.V.Gnedenko (01.01.1912 - 27.12.1995) , my PhD supervisor, Two Presentations (please, see Publications).

May 17, 2012, Cettle, Distinguished Faculty Speaker Longer Life Through Math - Recorded on YouTube https://www.youtube.com/watch?v=2GouA8Y1oJA

      Presentations at the MMR International Conferences in 2001, 2005, 2009, 20011, 2013 as shown below in my list of publications. 

MMR'2011, Beijing, China June 24 -30, 2011 . Three Contributed talks (please, see Publications).

December 08, 2010, Kettering University, Department of Mathematics, Flint, Michigan, USA: On the ALM distributions, related random processes and its applications, Departmental Talk.

March 06 - March 25, 2010, Melbourne University, Department of Mathematics and Statistics, Melbourne, Victoria, Australia: Probability distributions and related random processes in periodic environment (Short course for graduated students and faculty) Invited.

March 03, 2010, Univ. of New South Wales, Department of Mathematics and Statistics, Sydney, Australia Ages, Interpretations, Control and Applications (Invited talk).

June 22, VI International Conf. MMR'2009, Moscow, Russia: Ages, Interpretations, Control and Applications, (Invited Plenary talk)

June 23, VI International Conf. MMR'2009, Moscow, Russia: Warranty and Fair Pricing for Used Items in Two-Dimensional Life Time, (contributed talk, coauthors D.Green and P.Stanchev)

June 23, VI International Conf. MMR'2009, Moscow, Russia: Reliability Modeling of Political Processes, (contributed talk, coauthor Sahib Esa)

October 20, 2008, BFU, Burgas, Bulgaria: Dependence in Uncertain World and Its Measuring;

October 22, 2009, BFU, Burgas, Bulgaria: Ages and Equivalent Ages. Definitions, Comparison and Applications

November 11, 2008, American University in Bulgaria (AUBG), Blagoevgrad: Dependence in Uncertain World and Its Measuring,

November 12, 2008, South-West University of Bulgaria, Blagoevgrad: Ages, Life Time Distributions Comparison of ages and Applications in Bio Rese\ arch

November 27, 2008, Colloquium of the School of Mathematics of the University of Sofia: Dependence between random events and Its Measuring according to Obreshkov

November 28 2008, National Seminar of the Union of the Bulgarian Mathematicians in Sofia: Ages, Life Time Modeling, Comparison of Ages and Applications

March 20, 2008, University of Hawaii, Honolulu, HW: Some Local Measures of Dependence between Two Random Variables (Invited talk).

March 14, 2008, University of Michigan, Flint, MI: Some Local Measures of Dependence between Two Random Variables

February 20, UAM, Mexico City, Mexico: Some Measures of Dependence Between Two Random Variables (Invited talk).

February 4, 2008, University of South Carolina Columbia, SC: Dependence and Its Measuring, (Invited talk).

Florida Institute of Technology, January 27, 2008, Melbourne, Florida, Local Measures of Dependence between two random Variavles and Modeling Dependence (Invited talk).

Concordia University, Oct. 03, 2007, Montreal, Canada, Some Local Measures of Dependence between two random Variavles (Invited talk).

Laval University, Oct. 04, 2007, Quebec, Canada, Four Local Measures of Dependence between two random Variavles (Invited talk).

Kettering University, July 25, 2007, Flint, Michigan Ages and Measuring Ages. Applications in Life Comparison, Insurance, Risk, and More (Presentation at the Math Dept Seminar)

June 25 - 30, 2007, Kiten, Bulgaria, National Seminar on Stichastics, Dependence between two random events. How to measure it? (Invited talk).

April 24, 2007, Institute of Mathematics and Statistics, University of Sao Paulo, Brazil On the Transfer of Global Measures of Dependence into Local Measures of Dependence between Two Random Variables. (Invited talk).

March 25 - 30, 2007, Maresias, Brazil, Third Brazilian Conference on Statistical Modelling in Insurance and Finance, Lifetime Distributions and Equivalent Ages. Applications in Insurance, Risk, and More (Invited talk).

October 18, 2006, Bowling Green, Ohio State University, Dept. of Statistics, Lifetime Distributions and Equivalent Ages. Possible Applications in Insurance, Risk, and More (Invited talk).

February 17, 2006, Kalamazoo, WMU, Dept. of Statistics, Age Affecting Control in Biological Systems and the Mechanism of Aging and Longevity of Biological Systems (Invited talk).

November 10 - 14, 2005, Venecia, Italy, IPSI International Symposium: Age Affecting Control in Biological Systems Explains the Mechanism of Aging and Longevity of Biological Systems (Invited talk, presented by Dr. Z. Khalil, Montreal, Canada).

October 15 - 16, 2005, Burgas, Bulgaria , Burgas Free University: Age Affecting Control in Biological Systems (Invited talk).

October 13, 2005, Bulgaria, Sofia University, School of Mathematics and Informatics Coloqium, Age Affecting Control in Biological Systems Explains the Mechanism of Aging and Longevity of Biological Systems (invited talk).

April 4 - 10, 2005, Sydney, Australia, 55th Session of the International Statistical Institute: Age Affecting Control in Biological Systems (Invited talk).

October 1 - 14, 2004, Burgas, Bulgaria , Burgas Free University, Lectures for Faculty and Students: Selected Topics of Probability and Statistics (invited).

September 18-19, 2004, Elizabethtown, Pennsylvania, International Conference on Information Technology in Education, The Use of IT in Teaching Mathematics at Kettering University (Invited talk), and chaired one session.

June 21-25, 2004, Santa Fe, New Mexico, 4th International Conference on Mathematical Methods in Reliability (MMR'2004). On Reliability of Hierarchical Systems with Gradual Failures (Invited), and chaired one session.

June 7-10, 2004, St Petersburg, Russia, The 1st French-Russian Conference on Longevity, Aging and Durability (LAD 2004)

1. Age Affecting Repairs and Warranty Costs

2. Reliability Model For Biological Objects

and chaired one session.

June 29-July 5, 2003, Moscow, Russia, Workshop DCCN-2003, Periodic non-stationary arrival process in queueing networks and their characterization (Invited talk, presented by Dr V.Rykov).

June 23-29, 2003 Varna, Bulgaria, 28-th International Conf. on Information and Communication Technologies and Programming ICT&P 2003, On statistical hypotheses testing via simulation method (Invited talk).

June 5 - 8 2003, Honolulu, Hawaii, Hawaii International Conference on Statistics and Related fields, On properties and statistical estimation of ALM distributions (Invited talk), and chaired one session.

June 26 - 29, 2002, Trondheim, Norway, 3rd International Conf. on Mathematical Methods in Reliability, Methodology and Practice, Multi-State Reliability Systems (Invited talk)

April 3 - 6, 2002, Borovetz, Bulgaria 31st Spring Conf. of the Union of the Bulgarian Mathematicians (UBM), . Bernoulli Trials: Extensions, Related Probability Distributions and Modeling Powers (Invited talk), and chaired a session and a discussion workshop.

December 16 - 20, 2001, Hong Kong, 5-th International Conference on Optimization. Techniques and Applications (ICOTA 2001), . On the influence of the observability and controllability to the optimal control quality (Presented by Dr. V. Rykov, coauthor. Invited talk)

September 30 -October 07, 2001, Montreal, Canada. Invited talk presented at the University of Quebec in Montreal, Oct.6, . Likelihood Ratio Test for Almost-Lack-of-Memory Distributions (Invited talk)

August 24 - 25, 2001, Waterloo, Ontario, 3rd Canadian National Workshop on Queuing Theory and Related Fields (CANQUE'2001), . On Jobs Allocation in Queuing Systems with heterogeneous servers (joint work with Vladimir Rykov, and David Green) (Invited talk)

August 4 - 10, 2001, Atlanta, Georgia, North American Joint Statistical Meeting (JSM) 2001, . A simple unreliable service model characterizes exponential distribution (Invited talk)

September 15 - 16, 2000, London, Ontario. CANQUEUE'2000. . A Model of Imperfect Repair Maintenance and Related Optimum Maintenance Strategies. (with coauthor Dr. Z. Khalil). (Invited talk)

July 19 - 26, 2000, Catania, Italy. Third World Congress of Nonlinear Analysts WCNA'2000. . Warranty Claims as Marked Point Processes - Invited lecture in Session 139: Stochastic and Economics, (inviteded talk by V.Lakshmikantham).

December 15, 1999, University Federal of Rio De Janeiro, Rio De Janeiro, Brazil. . Uncertainty in Priodic Random Environment and Its Application in Financial Modeling. (Invited talk)

December 12, 1999, Federal University of Minas Gerais, Belo Horizonte, Brazil. . Warranty Cost Analysis of Age Dependent Failure Models. (Invited talk)

December 02, 1999, University of Sao Paulo, Brazil. . Uncertainty in Priodic Random Environment and Its Application.e (Invited talk)

August 23 - 27, 1999, Athens, Greece. Environmetrics and Statistics in the Earth and Space Sciences (ESESS), . Cost Analysis of Proportional Rate Models I Environmental Protection (with coauthor Dr. S. Chukova, and Dr. Z. Khalil), Presented by Dr. Chukova, (Invited talk)

January 28, 1999, Montreal, Canada. Common Seminar in Probability and Statistics, (Concordia, UQAM, and Universite de Montreal) . Environmental modeling in driving periodic conditions (Invited talk)

June7 - 9, 1999, Windsor, Ontario, Canada . Invited talk at the annual meeting of the Canadian Operations Research Society, CORS'99 (with Dr. S. Chukova).

May 2 - 5, 1999, Cincinnati, Ohio, for the Spring TIMS/ORSA Meeting INFORMS$'99. Invited talk for the Cluster on Warranty Analysis (with Dr. S. Chukova).

March 9 - 11, 1999. Invited lecturer and Tutor for the Workshop on Quality Indicators, in Wuerzburg, Germany.

June 14 - 19, 1998. Invited lecturer at The 24-th Summer School on the Applications of Mathematics in Techniques, organized by the Technical University of Sofia, in Sozopol, Bulgaria.

June 16 - 21, 1997. Invited lecturer at The 23-rd Summer School on the Applications of Mathematics in Techniques, organized by the Technical University of Sofia, in Sozopol, Bulgaria.

April 21 - 25, 1997. Invited lectures at Curtin Technical University and at The University of Western Australia, in Perth, Australia.

April 26 - 30, 1997. Invited lectures at The University of New South Wales,

in Sydney, Australia.

SESSIONS ORGANIZED AND/OR CHAIRED

June 21-25, 2004, Santa Fe, New Mexico, Organized a Session on Reliability of Complex Hierarchical Systems for thr 4th International Conference on Mathematical Methods in Reliability (MMR'2004).

May 2 - 5, 1999, Cincinnati, Ohio. Invited Organizer of the Session on Warranty Modeling, for the Spring TIMS/ORSA Meeting INFORMS$'99. (with Dr. S. Chukova).
March 9 - 11, 1999, Wuerzburg, Germany. Tutoring and chairing a session for the Workshop on Quality Indicators.

July 22 -25, 1997, Detroit, MI. Organizing and chairing the Session on Modeling and Measuring of Product and Process Quality (with E. von Collani), for the 18th IFIP TC7 Conference on System Modeling and Optimization.

June 14 - 19, 1998, Sozopol, Bulgaria. Chairing Session at The 24-th Summer School on the Applications of Mathematics in Techniques, organized by the Technical University of Sofia. Invited.

June 16 - 21, 1997. Sozopol, Bulgaria. Chairing Session at The 23-rd Summer School on the Applications of Mathematics in Techniques, organized by the Technical University of Sofia. Invited.

October 1990, Varna, Bulgaria. Chairman of the International Seminar on Statistical Data Analysis.

May 1985, Varna, Bulgaria. Organizer and Chairman of the International Seminar on Stability and Computer Modeling of Stochastic Processes (With Prof. V.M. Zolotarev, Russia).
Principal Organizer and Chairman of the National Bulgarian Seminar on Mathematical Methods in quality control, with seven regular annual conferences, since 1984 until 1990 in different sites of Bulgaria.

PROFESSIONAL ACTIVITIES

Principal Manager of the STATISTICS CLINIC, open since Fall 1998 for providing FREE STATISTICAL CONSULTING FOR STUDENTS, FACULTY AND STAFF at KETTERING UNIVERSITY. Renamed as Statistical Consulting Center in 2009, lead by Daniela Szatsmary-Voicu until March 2014.

Reviewer of theses (dissertations) on Applied Probability and Applied Statistics, Stochastic Processes, Reliability, Queuing, Quality Control, Education in Stochastics and others.

Chairman of the National Stochastic Seminar at the Union of the Bulgarian Mathematicians, 1979 - 1991.

Corresponding Secretary of the KME (Kappa Mu Epsilon) Nationa Honor Mathematical Society, for its ERpsilon Michigan Chapter at Kettering University.
Associate Editor of "ECONOMIC QUALITY CONTROL" - Journal and Newsletter for Quality and Reliability with managing Editor Prof. Dr. Elart von Collani, Inst. fur Angewandte Mathematik und Statistik, Sanderring 2, D-8700, Wurzburg, GERMANY.
Dean of the Math. Faculty at Sofia University, 1989 - 1991.
Head of the Department of Probability and Statistics, Math. Faculty at Sofia University, since 1989.
Member of American Society for Quality Control, Measurement Quality Division.
Member of American Statistical Association, and of its Ann Arbor chapter.
Member of the IFNA (International Federation of Nonlinear Analysis).
Member of The Union of Bulgarian Mathematicians.

Member of The Union of Bulgarian Statisticians.


Grants, Awards:

National Science Foundation award (NSF Grant 2013) "FLINT: ONE CITY - ONE HUNDRED YEARS UNDER VARIABILITY," is under the direction of Boyan Dimitrov, Leszek Gawarecki, Srinivas Chakravarthy. $ 7,5000.

American Statistical Association (ASA Grant 2913) FISC Conference support $2,000

ENGAGE mini-grant 2013 ($2000) For students Experiential learning at Kettering University

Tutt Award for Innovation in Teaching process (2012)

KEEN foundation fellow since 2009

March, 2007: Grant FAPESP No. 2006/60952-1, Sao Paulo, Brazil
September, 2006. Outstanding Researcher Award , Kettering University.
October, 1999. Grant FAPESP No. 1999/08263-1, Sao Paulo, Brazil
September, 1999. Outstanding New Researcher Award , Kettering University.
Granted proposal for an Applied Mathematics Computer Laboratory at Kettering University, August - September 1996, in collaboration with Prof. Joe Salacuse from SM Dept. The Laboratory started in July 1997.
New Faculty Development Grant (NFPDG 160009) at GMI 1995 - 1997.
Earlier in Bulgaria:
Grant MM 60 - 91 , "Risk theory and applications". With Bulgarian National Science Foundation.
Grant 43 - 87, 1987-1991. "Mathematical methods for quality control and reliability studies", with The Bulgarian Committee of Sciences.
Several Grands with Bulgarian Council of Higher Education , e.g.:
1988 - 1990 Applications of the Standardized Statistical methods in quality control in Bulgarian Enterprises.

REFERENCES

Prof. Jose Garrido , Dept. of Math. & Statist. Concordia Univ., 7141 Sherbrooke Str. West, MONTREAL H4B 1R6, CANADA,
Tel.(514)848-3252 (office), e-mail: GARRIDO@VAX2.CONCORDIA.CA
Prof. Atanas Radenski , R. J. Reynolds Professor of Computer Sci. Dept. of Computer Science, Winston-Salem State University, Winston-Salem, North Carolina 27110,
Tel. (919)750-2480, e-mail: RADENSKI@RAMSUN.ACC.WSSU.EDU
Prof. Spiridon Penev , School of Mathematics, Dept. of Statist. The Univ. of New South Wales, P.O.Box 1, Kensington NSW 2033, Australia.
Tel. (612) 398-8162 (office), e-mail: spiro@hydra.maths.unsw.edu.au,
Prof. Vladimir Tonchev , Dept. of Math. Sciences College of Sci. & Arts, Michigan Technological Univ., 1400 Townsend Drive, Houghton, MI 49931-1295,
Phone: (906) 487-2068, e-mail: TONCHEV@MATH.MTU.EDU
Prof. Jean-Pierre Dion , UQAM, Dept. of Math., Montreal, C.P. 8888, Canada H3C 3P8;
Tel. (514) 987-6166 (office), e-mail: DION@MATH.UQAM.CA
Prof. Zohel Khalil , Dept. of Math. and Statistics, Concordia,
Tel. (514) 848-3247 (office). e-mail: KHALILZ@VAX2.CONCORDIA.CA

RECORD OF PUBLICATIONS

of Boyan Dimitrov, Ph.D., Dr. of Math. Sci.

BOOKS AND MONOGRAPHS

9c. B. Dimitrov, and N. Yanev , Veroiatnosti i Statistika (2007), University of Sofia "St.Kliment Ohridski", Bulgaria (in Bulgarian; Engl. Probability and Statistics, Third Edition of [9].)

9b. B. Dimitrov, and N. Yanev , Veroiatnosti i Statistika (1998), University of Sofia "St.Kliment Ohridski", Bulgaria (in Bulgarian; Engl. Probability and Statistics, Second Edition of [9].)

11. Product Warranty Handbook, (1996), Marcel Dekker, Inc. New York - Basel - Hong Kong. Editors Wallace R. Blischke, and D. N. Prabhakar Murthy ( with Dr. S. Chukova, written Chapter 22: Warranty Analysis for Complex Systems ).

10. B. Dimitrov, and E. Karashtranova, Statistika za Nematematici (1993), Southwestern University "Neophit Rilski", Blagoevgrad (in Bulgarian; Engl. Statistics for Non-mathematicians, a textbook ).

9. B. Dimitrov, and N. Yanev, Veroiatnosti i Statistika (1991), Sofia University, Sofia (in Bulgarian; Engl. Probability and Statistics, a textbook ) .

8. A. Obretenov, and B. Dimitrov, Teoria Masowej Obslugi. Poradnik (1989), Panstwowe Wydawnictwo Naukowe, Warszawa, 1989 ( Polish translation of book [4] ).

7. B. Dimitrov, and Pl. Petrov, Prilojenie na metodite na izsledvane na operaciite v upravlenie

na kachestvoto (1984),Economics University of Sofia, The Post-graduate Qualification Improvement Division, Sofia (in Bulgarian; Engl. Application of the Operations Research Methods in Quality Studies ).

6. B. Dimitrov, Nauchno Upravlenie na Zapasite (1984), Nauka i Izkustvo, Sofia (in Bulgarian; Engl. Inventory Control ) .

5. B. Dimitrov, and A. Geshev, Matematicheska Statistika (1982), Plovdiv University, a textbook, Plovdiv (in Bulgarian; Engl. Mathematical Statistics ).

4. A. Obretenov, and B. Dimitrov, Spravochnik po Masovo Obslujvane (1979), Nauka i Izkustvo,Sofia (in Bulgarian; Engl. Handbook of Queuing Theory ).

3. B. Dimitrov, Verigi na Markov (1974), Nauka i Izkustvo, Sofia (in Bulgarian) Engl. Markov chains

2. A.Obretenov, B. Dimitrov, and E.Danielyan. Masovo Obslujvane i Prioritetni Sistemi na Obslujvane (1973), Nauka i Izkustvo Sofia (in Bulgarian; Engl. Queuing systems and priority Queues ).

1. B.Gnedenko, E.Danielyan, G.Klimov, V.Matveev, and B.Dimitrov, Prioritetnye Sistemy Obslujivania (1973), Moscow State University (in Russian; Engl. Priority Queues ) .

13-17. Five textbooks for High-school students (with coauthors), concerning introduction in probability theory and combinatorics:

- Applied Mathematics for Post-High-school students, and pre-college students (issued in 1986 and 1988, with coauthor Gero Gerov );
- Algebra for High-school students Grade 10 (issued in 1990 and 1993, with coauthors Z. Zaprianov, N. Georgieva, and V. Vakarelova );

- Mathematics for post-high school students, (issued in 1988, coauthors G. Stanilov, A. Langov and R. Rusev ).

All these textbooks were issued by the Nauka i Izkustvo Editorial Corporation authorized by the state of Bulgaria to print textbooks for High-school in Bulgaria at that time.

PAPERS

1968

1. B. Dimitrov, A survey on some recent results of the theory of conditional expectations.Math. Inst. Bulg. Tech. Report, of Prob. & Statist., p. 27 (in Bulgarian).

2. B. Dimitrov, M. Uzunov, Renewal theory. Physical-Mathematical Jour. v. 11 (44), book 4, 1968, pp. 259-276 (in Bulgarian).

1970

3. A.Obretenov, B.Dimitrov, M.Uzunov, Study on the reliability of a system by means of stochastic processes. Bulletin de l'Inst.de Math., Acad. Bulg. Sci., v.XI, 1970, pp.259 - 276 (in Russian).

4. B. Dimitrov, On the expected down time duration and the average number of failures of a system of two elements in parallel with planed and accidental renewals. Technical thinking, Bulletin de Acad. Bulg. Sci., book 2, 1970, pp. 89 - 95 (in Bulgarian).

5. E. Danielyan and B. Dimitrov, Service with priorities and preparation times. Math. questions in production control, Moscow State Univ. 1970, pp. 165-178 (in Russian).

6. B. Dimitrov and E. Danielyan, Some limit theorems in the Reliability and Queuing theory,Ibbidem, pp. 179-183.

1971

7. B. Dimitrov, On the number of failures of a system of n loaded elements. Bulletin de l'Inst. de Math., Acad. Bulg. Sci., v. XII, 1971, pp. 205 - 210 (in Russian).

8. E. Danielyan and B. Dimitrov, Service with changing priorities and preparation times.Scientific Notices of the Univ. of Erevan 1971, No. 1 pp. 3 - 10 (in Russian).

9. B. Dimitrov, Service with priorities, Mathem. Balkanica, v. 1, 1971, pp. 66 -78 (in Russian).

10. E. Danielyan, B. Dimitrov and B. Piskunov, On the control of a system with finite number of components and priorities, Automatization of the production in Chemistry, NIITEHIM, Moscow 1971, pp. 3-14 (in Russian).

1972

11. B. Dimitrov, Sequences of renewal processes and random sums. Numerical Methods and Programming, N 18, Moscow State Univ., 1972, pp. 3 - 15 (in Russian).

12. B. Dimitrov, On the uniform renewal theory. Ibbidem, pp. 24 - 30, (in Russian).

13. E. Danielyan and B. Dimitrov, On the queue length of a queuing system with non-reliable server, Ibbidem, pp. 113 - 124 (in Russian).

14. E. Danielyan and B. Dimitrov, On a queuing system with finite number of sources and limited waiting time. Izvestia Armenian Acad. Sci., v. 47, No. 1, 1972, pp. 46 - 58 (in Russian).

15. E. Danielyan and B. Dimitrov, On a priority queuing system with two types of failures.Scientific Notices of the Univ. of Erevan 1972, No. 2 pp.131 - 133 (in Russian).

16. E. Danielyan and B. Dimitrov, On the queuing system M/G/1 with waiting and two types of failures, Mathematica Balkanica, v. 2, 1972, pp. 21 - 37 (in Russian).

17. B. Dimitrov, Sequences of renewal processes and some limit theorems for random sums of random variables. Proc. Second All Union School in Queuing Theory, Dilijan 1971, Moscow State Univ. 1972, pp. 65 - 67 (in Russian).

1973

18. E. Danielyan, B.Dimitrov and B. Piskunov, On a priority control model under restrictions, Automatization of the production in Chemistry, NIITEHIM, Moscow 1973, No. 5 pp. 43-54 (in Russian).

19. B. Dimitrov and V. Zaitzev, On the standby systems with renewals, Mathematica Balkanica,v. 3, 1973, pp. 78 - 87 (in Russian).

20. B. Dimitrov and V. Zaitzev, On a standby system with renewals and switching, Anniv. of the Univ. of Sofia, Ser. Math. v. 65, 1973, pp. 167 - 173 (in Russian).

21. B. Dimitrov, Queues - problems and solutions. "Universe'72", Nauka i Izkustvo, Sofia, 1973, pp. 74 - 89 (in Bulgarian).

1974

22. B. Dimitrov, An integral estimate of the vicinity of non-stationary and stationary characteristics of the queuing process. Ann. de l'Univ. de Sofia, Fac. de Math., v. 66, Sofia, 1974, pp. 219-229 (in Russian).

23. B. Dimitrov, Asymptotic expansions of characteristics for queuing systems of the type M/G/1. Bulletin de l'Inst. de Math., Acad. Bulg. Sci., v. XV, 1974, pp. 237-263 (in Bulgarian).

24. B. Dimitrov and Kh. Karapenev, A queuing system with finite source and non-reliable server, Ann. of Technical High Schools, v. 9, Sofia, 1974, pp. 173-186 (in Bulgarian).

25. B. Dimitrov, Some new characteristics of the queuing processes Math. and Math. Education, Bulg. Acad. Sci. 1976, pp. 160-168 (in Bulgarian).

1975

26. B. Dimitrov and Kh. Karapenev, Some characteristics of the queuing systems with finite sources, non-reliable servers and absolute priorities, Serdica, Bulgarian Journal in Math. v. 1 Sofia, 1975, pp. 158-166 (in Russian).

27. B. Dimitrov and Kh. Karapenev, On the number of served calls in a queuing system with finite sources and non-reliable server, Ann. of Technical High Schools, v. 10, No 3 Sofia, 1975, pp. 139 - 150 (in Bulgarian).

28. B. Dimitrov and P. Petrov, Non-parametric testing of the type of distribution in the studies of the item's reliability. Systems and Control, books 1-2, 1975, pp. 70-82 (in Bulgarian).

1976

29. B. Dimitrov and P. Petrov, Testing of the stability of the failure rate function in the studies of the item's reliability, Technical Thinking, Bulletin de Acad. Bulg. Sci., Book 5, 1976, pp. 15 - 19 (in Bulgarian).

30. B. Dimitrov and Kh. Karapenev, On the queuing systems with finite sources and non-reliable server, Ann. of Univ. of Sofia Ser. Math. v. 67, Sofia, 1976, pp. 483-505 (in Russian).

1977

31. B. Dimitrov, A. Petrova, Single server queuing system with Poisson input and exponentially bounded waiting time in the queue. Proc. Fifth Conf. on Prob. Theory, Brasov, 1977, pp. 367 - 373.

32. B. Dimitrov, S. Delev and R. Rangelova, Characteristics of the queue appearance in the service systems with Poissonian Input, Serdica, Bulg. Journal in Math. v. 3 Sofia, 1977, pp. 71 - 81 (in Russian).

33. B. Dimitrov and B. Arabadjieva, Characteristics of the time-spaced teletraffic system with sin-phase type of commutation, Systems and Control, book 1, 1977, pp. 34 - 41 (in Bulgarian).

34. B.Dimitrov and K.Yanev, Optimal control of the average duration of a computational process with non-reliable computer, Systems and Control, book 4, 1977, pp. 43-50 (in Bulgarian).

1978

35. B. Dimitrov and V. Zaitzev, A queuing systems of type M/M/1 with slowly varying intensities. Minimization of the queue length. Systems and Control, book 3, 1978,

pp. 45 - 49 (in Bulgarian).

36. B.Dimitrov, P.Petrov and K. Yanev, Control of the computational process with non-reliable computer, Math. and Math. Education, 1978, pp. 314 - 324 (in Bulgarian).

37. B. Dimitrov and S. Rachev, Maximum likelihood estimation of the failure rate function of the U-shape, Ann. of Univ. of Sofia Ser. Math., v. 68 , Sofia, 1978, pp. 127 - 140 (in Russian).

1979

38. B.Dimitrov and Ch. Dokev, The system GI/M/n/N in discrete time, Math. and Math. Education, 1979, pp. 225 - 235 (in Bulgarian).

1981

39. B. Dimitrov, Ch. Dokev, The single server queue system with non-reliable server in discrete time. Non-stationary characteristics, Ann. of Univ. of Sofia Ser. Math. v. 70 , Sofia, 1981, pp. 175 - 190 (in Russian).

40. B.Dimitrov and P.Petrov, Some problems of the optimal control of the service with non-reliable server, Proc. Fourth All-Union School in Queuing Theory, Baku 1979, Edit. Moscow VNIISI, 1981, pp. 52 - 54 (in Russian).

41. Dimitrov B., Petrov P., On the optimal regulation of an unreliable process. III Int. Vilnius Conf. of Prob. and Mathem. Statistic., 1981, v. 3, 68-69.

42. Dimitrov B., Petrov P., The minimal blocking time by unreliable server and latent failures, in 14-th European Meeting of Statisticians, Wroclaw, 1981, 126-127.

43. B. Dimitrov and Pl. Petrov, A classification of the quality according an informative quantitative parameter under empirical data, Systems and Control, book 3, 1981, pp. 50 - 54 (in Bulgarian).

1982

44. I. Stoikov and B. Dimitrov, Stochastic approach to modeling the multiple effect, Systems and Control, book 2, 1982, pp. 7 - 14 (in Bulgarian).

45. B. Dimitrov, L. Klebanov, S. Rachev, Stability of the characterization of the exponential law, in Stability Problems in Stochastic Models, Moscow, VNIISI, 1982, pp. 39-46 (in Russian).

1983

46. B. Dimitrov and Pl. Petrov, Contingency tables and informative quantitative parameters by the quality control, Systems and Control, book 4, 1983, pp. 42-46 (in Bulgarian).

47. B. Dimitrov, V. Zdravkov, A mathematical model for the study of the dynamic of human resources, In Stochastic Models in Urban service Systems, Athens, Greece, 1983, 21-22.

48. B.Dimitrov and K. Yanev, On an approach to modeling of queuing networks, Proc. Intern. Seminar on Stochastic Modelling, Moscow, MNIIPU, 1983, pp. 71-94 (in Russian).

49. A. Obretenov, B. Dimitrov, S. Rachev, On the stability of the queuing process in the system of type M/M/1. Stability Problems of Statist. models, Moscow, 1983, pp. 71 -79 (in Russian).

50. B. Dimitrov, Isotonic estimations of the distributions in reliability, Lecture Notes of the Fourth Intern. Summer School in Probab. and Statistics, Sofia, 1983, pp. 39-74 (in Russian).

1984

51. B.Dimitrov, P.Petrov, Controlled process with random breakdowns and repeat actions,Pliska Studia Mathematica Bulgarica, v. 7, 1984, pp. 102-108.

52. Ruskov P., Yanev K., Dimitrov B. and Boyanov K., A model for study and analysis of local networks as a queuing system, In Controlling Systems and Machines, Book 5, Kiev, 1984, pp. 37 - 40 (in Russian).

53. B.Dimitrov, M.Varbanova P. Petrov and P. Mateev,

Calculation of the quantitative reliability characteristics of transport items, NTS, In the Aid to the Specialists, No. 4, 1984, pp. 72 - 77 (in Bulgarian).

1985

54. Boyanov K., Ruskov P., Yanev K., Dimitrov B., Performance analysis of local networks with data and voice traffic, Network in office automation. Elsevier Science Publishers (North - Holland), IFIP, 1985, 231-240.

55. A.Yacovlev, B.Dimitrov, S.Rachev. Maximum likelihood estimation of the mortality rate function, Biometrical Journal., v. 27, No.3, 1985, pp. 317-326.

56. K.Boyanov, P.Ruskov, K. Yanev, B. Dimitrov, An analytical model of local network in discrete time, Proc. of the Int. Symp. Networks in Office Automation, Budapest, 1985, pp. 725-733.

57. B. Dimitrov and P. Ruskov, A discrete model of a single server queue with repeat calls,Math. and Math. Education, pp. 376 - 384 (in Russian).

58. B. Dimitrov, M. Varbanova and P. Petrov, Programming support of the standards on applied statistics and statistical quality control, Standards and Quality, No 1, 1985, pp. 17 - 20 (in Bulgarian).

59. B.Dimitrov and N. Manolov, Mathematical aspects of the problems in tribology, quality and reliability of the technical systems. Proceedings of the II National Seminar on Math. methods in Quality studies, Sofia, 1985, pp. 15 - 20 (in Bulgarian).

1986

60. B. Dimitrov, L. Klebanov, S. Rachev, Stability of the characterization of the exponential law. Jour. of Soviet Math., v. 35, N 3, 1986, pp. 2476 - 2485.

61. B. Dimitrov, S. Rachev, On optimal quality usage, Proc. IV INTERN. Conference on Statist. Methods in Experim. Res. and quality Control, v. 2, Varna, 1986, pp. 5-10.

62. M. Varbanova and B. Dimitrov, Principal requirements to the implementation of the methods of statistical quality control in the production processing, Standards and Quality,No 1, 1985, pp. 17-20 (in Bulgarian).

1987

63. B. Dimitrov and P. Petrov, Controlled process with explicit or implicit breakdowns and repeat action, In "System Fault Diagnostics, Reliability and Related Knowledge - Basic Approaches ", v. 1 (Edit. Sp. Tzafestas et al), D. Reidel Publ.Comp. 1987, pp. 415-428.

64. K.Boyanov, B.Dimitrov, P. Ruskov, The method for discretization for queuing process and its applications by modeling of some distributed computer systems, Informatic, Informationen Reporten, Acad. Wiss. DDR, 1987, pp. 1.1-1.19.

65. S. Dimitrov, B. Dimitrov, K. Boyanov, H. Tourlakov. A Markovian model for the performance and congestion analysis in a gateway node. IBBIDEM, pp. 3.45-3.59.

66. B. Dimitrov, N. Kolev, P. Petrov, Controlled unreliable process with explicit or implicit breakdowns and mixed executive times, In Reliability and Optimization of Structural Systems, Lecture Notes in Engineering, Vol. 33, Springer Verlag, 1987, pp. 77-90.

67. B. Dimitrov and T.Z.Fu, On the stochastic inventory models with incomplete demand information. Dokl. Bulg. Acad. Sci. v.40, No 12 1987, pp. 11-14.

1988

68. B. Dimitrov and K. Yanev, On the performance evaluation of the queuing networks. Proc. Int. Seminar on Teletraffic Theory and Computer Modelling, Sofia, 1988, pp. 47-60.

69. B. Dimitrov, On the integral estimation when measuring the quality, Proc. XIII National School "Appl. of Math. in Technique", Varna, 1988, pp. 64-81.

70. B.Dimitrov, N.Kolev and P.Petrov, Control of unreliable process with implicit breakdowns and mixed executive times. Math. Balkanica, New Series, v. 2, 1988, pp. 391-396.

71. Z. Khalil, B. Dimitrov, J.-P. Dion, A characterization of the geometric distribution related to random sums, Rapport de recherche N 76, Univ. de Quebec a Montreal, Dec. 1988, pp. 1-21.

72. M. Varbanova, B. Dimitrov, I. Stefanov, L. Boneva, A computer aided SQC system for mass production implementing standardized methods. Proc. EOQC, Moscow, 1988, pp. 103-108.

1989

73. Z. Khalil, J.-P. Dion and B. Dimitrov, Branching processes with pair-dependent families,Tech. Rep. N 1/89, Concordia Univ., Montreal, 1989, pp. 1-13.

74. Lilov, V., Dimitrov, B., Ruskov, P. and Kisimov, V., A model for single server data sharing in a local area network information processing systems, Proceedings of the IFIP TC 6 TC 8 Open Symposium, North - Holland, 1989.

1990

75. B. Dimitrov, Z. Khalil, On a new characterization of the exponential distribution related to a queuing system with an unreliable server, J. Appl Probab. v. 27, 1990, pp. 221-226.

76. M. Varbanova, B. Dimitrov, L.Boneva, Computer aided statistical methods in quality control, Proc. Eighth Intern. Conf. of the ISQA, Jerusalem, 1990.

1991

77. Dimitrov, B., Chukova, S. (1991), Warranty Analysis, Economic, Quality, Control. Journal and Newsletters for Quality and Reliability, v. 6, No. 2, pp. 61-82.

79. Z. Khalil, B. Dimitrov, J.-P. Dion, A characterization of the geometric distribution related to random sums, Commun. in Statist. Stochastic Models, v. 7, pp. 726-729.

80. B.Dimitrov and S.Chukova, On the bivariate distributions having the almost-lack-of-memory property, Technical Report of the Wurzburg Research Group on Quality Control, No. 33, June 1991, pp. 1-16.

81. B. Dimitrov and E. von Collani, A characterization of distributions having the multiplicative almost lack of memory property, Technical report of the Wurzburg Research Group on Quality Control No. 32, June 1991, pp. 1-16.

82. Khalil Z., Dimitrov B. and Petrov P., On the total execution time of a job on unreliable server, Technical report, # 1/91, Concordia Univ., Math & Stat. Dept. July 1991.

83. Boneva, L., Dimitrov, B., Stefanov, I., and Varbanova, M. Computerized statistical methods for quality control and reliability, Economics, Quality, Control, v. 6, No. 1, pp. 19-28.

1992

84. Dimitrov, B., Chukova, S. and Khalil, Z., Characterization of probability distributions similar to the exponential, Tech. Report, Concordia Univ. # 2, 1992, pp. 1 - 29.

85. Dion, J.-P., Dimitrov, B. and Khalil, Z., Statistical estimation of the parameters of a production-demand process, Rapport de rechershe No 171, fevrier 1992, Dept. of Math. Informatics, Univ. de Quebec a Montreal.

86. Dimitrov, B. and Chukova, S. (1992), On the distributions having the almost lack-of-memory property, J. Appl. Prob. v. 429 No. 3, pp. 691 - 698.

87. Rachev, S. T., Dimitrov, B. N. and Khalil, Z. (1992) A probabilistic approach to optimal quality usage, Computers Math. & Applic., v. 24, No 8/9, pp. 219 - 227.

88. Dimitrov, B. and Khalil, Z. (1992) A class of new probability distributions for modeling environmental evolution with periodic behavior,Environmetrics, v. 3(4), pp. 447-464.

1993

89. Chukova, S., Dimitrov, B. and Garrido, J. (1993) Renewal processes generated by distributions with periodic failure rates, Proc. 26-th Annual Actuarial Research Conference, Univ. of Iowa, Aug. 1992, Editors: James Broffit and Elias S. Shiu, Actuarial Research Clearing House, 1993, Part 1, pp. 83 - 95.

90. Chukova, S., Dimitrov, B. and Garrido, J. (1993) Renewal and non-homogeneous Poisson processes generated by distributions with periodic failure rate, Statistics & Probability Letters, v. 17, pp. 19 - 25.

91. Chukova, S., Dimitrov, B. and Khalil, Z. (1993) A characterization of probability distributions similar to the exponential, The Canadian Jour. of Statistics, v. 21, No. 3, pp. 269 - 276.

* 92. Dimitrov, B., Khalil, Z., and Le Normand, L. (1993) A statistical study of periodic environmental processes, Proceedings of the International Congress on Modelling and Simulation, Dec. 6-10, 1993, The Univ. of Western Australia, Perth, v. 41, pp. 169 - 174.

* 93. Chukova, S., Dimitrov B., and Dion, J.-P. (1993) Relevation transforms characterize probability distributions, J. of Appl. Math. and Stochastic Analysis, v6, N0.4, pp. 345-358.

94. Chukova, S. S., Dimitrov, B. N., and Rykov, V. V. (1993) Warranty Analysis (Review),Jour. of Soviet Mathematics, 67, No. 6, December, 1993, pp. 3486 - 3508.

95. Khalil, Z., Dion, J.-P., and Dimitrov, B. (1993) Branching processes with pair-dependent families, Proc. Internat. Symp. on Optimization & Statistics, Dec. 18-21, Aligarh, India, pp. 263 - 275.

96. Dion, J.-P., Dimitrov, B., and Khalil, Z. (1993) Statistical estimation of the parameters of a production-demand process. Proc. Internat. Symp. on Optimization & Statistics, Dec. 18-21, Aligarh, India, pp. 276 - 285.

97. Dimitrov, B., and Khalil, Z. (1993) Some characterizations of the exponential distribution based on the service time properties of an unreliable server, Stability Problems for Stochastic Models (Editors V. V. Kalashnikov, and V. M. Zolotarev). Lecture Notes in Mathematics, 1546, Springer 1993, pp. 17 - 25.

1994

* 98. Dimitrov, B., Chukova, S., and Green, D. (1994) Probability distributions in periodic random environment, ASA 1993 Proceedings of the Section on Quality and Productivity, pp. 251-256.

* 99. Dimitrov, B., Chukova, S., and Khalil, Z. (1994) Bivariate probability distributions similar to exponential, Approximation Probability and Related Fields, Edit. G. Anastassiou and S. Rachev, pp. 167 - 178.

100. Khalil, Z., and Dimitrov, B. (1994) The service time properties of an unreliable server characterize the exponential distribution, Adv. Appl. Prob., 26, 172-182.

1995

101. Dimitrov, B., Chukova, S. and Khalil, Z. (1995) Definitions, characterizations and structural properties of probability distributions similar to the exponential, J. of Statistical Planning and Inference, pp. 271 - 287.

* 102. Chakravarthy, S., Chukova, S., and Dimitrov, B. (1995) A stochastic model with re-sequencing of messages. IEMS'95 Proceedings: Annual International Conference on Industry, Engineering, and Management Systems, pp. 601-606.

* 103. Dimitrov, B., and von Collani, E. (1995) Contorted uniform and Pareto distributions, Statistics & Probability Letters, 23, No.1, pp. 157-164.

1996

* 104. Chukova, S., and Dimitrov, B. (1996) Execution time on an unreliable server with latent breakdowns. Matrix-Analytics Methods in Stochastic Models, Edt. S. Chakravarthy and A. Alfa, Marcel Dekker, Inc., New York - Basel - Hong Kong, pp. 225 - 239.

* 105. Dimitrov, B. (1996) Periodic random environment generates compound counting processes with amazing properties. Applications. 7-th Annual GMI Industry Symposium. Proceedings: Technology & The Quality Revolution, pp. 148-163.

* 106. El-Saidi, M. A., Dimitrov, B., and Chukova, S. (1996) Some moment properties and limit theorems of the Reversed Generalized Logistic Distribution with applications.Communications in Statistics: Theory and Methods, 25, No. 3 pp. 609-630.

* 107. Dimitrov, B., Khalil, Z., and El-Saidi, M. A. (1996) On probability distributions with accumulating failure rates in periodic random environment. Environmetrics, 7, pp. 17-26.

* 108. Chukova, S., and Dimitrov, B. (1996) Warranty Analysis for Complex Systems. Chapter 22 of Product Warranty Handbook, Editors Wallace R. Blischke, and D. N. Prabhakar Murthy, Marcel Dekker, Inc. New York - Basel - Hong Kong.

* 109. J. Garrido, B. Dimitrov, and S. Chukova (1996) Ruin Modeling for Compound Non-Stationary Process with Periodic Claim Intensity Rate, Technical Report No. 2/96, May, Concordia University, Dept. of Mathematics and Statistics, Montreal, Canada.

1997

* 110. Dimitrov, B., Chukova, S., and Green, D. (1997) Probability distributions in periodic random environment and their applications, SIAM J. Appl. Math., Vol.57, No. 2, pp. 501-517.

* 111. Dimitrov, B., and Green, D. (1997) Stochastic optimization problems under incomplete information on distribution functions,

Control and Cybernetics, Vol.26, No. 1, pp. 93 - 110.

* 112. Dimitrov, B. (1997) Queues with Re-sequencing. A Survey and Recent Results, Nonlinear Analysis, Theory, Methods & Applications, Vol. 30, No. 8, pp. 5447 - 5456.

1998

* 113. Dimitrov, B. (1998) Quality Evaluation Methods - A Review, Economics, Quality, Control (EQC Journal and Newsletter for Quality and Reliability), Vol. 13, No. 2, pp. 117 - 128.

* 114. S. Chukova, M. A. El-Saidi, and B. Dimitrov (1998) Extended Logistic Distribution. Properties and Possible Applications, Statistical Data Analysis, Edt. D. Vandev, Bulg. Acad. Sci., and St. Kl. Ohridski Univ. of Sofia, pp. 10 - 22.

* 115. Dimitrov, B. (1998) Uncertainty in periodic random environment, Applications of Mathematics Engineering'23, Heron Press, Sofia, pp. 15 - 26.

* 116. Dimitrov, B., M. A. El-Saidi, and Z. Khalil (1988) Overall Population Growth in Periodic Environment, Environmetrics, Vol. 9, pp. 317 - 328.

1999

* 117. Dimitrov, B. Chukova, S., and Khalil, Z. (1999) (1999) Processing Times Modeled by Reliability Systems with Random Number of Spare Units, European Journal of Engineering Education (EJEE) on Maintenance, Reliability and Safety, Vol. 24, No. 3, pp. 279 - 291.

* 118. Dimitrov, B., and Chukova, S.(1999) (1999) Environmental Modeling in Driving Periodic Conditions, Applications of Mathematics in Engineering'24, Heron Press, Sofia, pp. 21 - 30.

* 119. Dimitrov, B., Chukova, S., and Green, D. (1999) The Bivariate Probability Distributions with Periodic Failure Rate Via a Hyperbolic Differential Equation, Dynamics of Continuous, Discrete and Impulsive Systems, Vol. 5, pp. 81 - 92.

* 120. Dimitrov, B., Chukova, S., and El-Saidi, M. A. (1999) Modeling Uncertainty in Periodic Random Environment: Applications to Environmental Studies, Environmetrics, Vol. 10, pp. 467 - 485.

* 121. B.Dimitrov, S.Chukova, and Z.Khalil (1999) Warranty Cost Analysis of an Age Dependent Failure Model for Repairable and Non-Repairable Products, Tech. Rep. No.2/99, July 1999Dept. of Math. and Statistics, Concordia University, Montreal, pp. 1 - 16.

2000

* 122. Dimitrov B., and Kolev N. (2000) Beta Transformation. Beta-type Self-decomposability and Related Characterizations, Brazilian Journal of Probability and Statistics (RABRAPE) v. 14, pp. 123 - 140.

* 123. Chukova S., and Dimitrov, B. (2000) Rate Models in Environmental Studies, Research Report 2000:1, Division of Quality Technology & Statistics, Luleo Univ. of Technoogy, SE-971 87, Luleo, SWEDEN, pp. 1 - 6.

* 124. Borges W., Dimitrov B., Khalil Z., and Kolev N. (2000) System's Performance Under Mixed Minimal and Imperfect Repair Maintenance Strategies, RT-MAE 2000-6, Univ. of Sao Paulo, Brazil Ser. 6, pp. 1 - 17.

2001

* 125. Dimitrov B., Chukova S., and Rumchev V. (2001) Warranty Claims as Marked Point Processes, The Journal of Nonlinear Analysis: Series A: Theory and Methods, v. 47, pp. 2145 - 2150.

* 126. Dimitrov B., Khalil Z., and Christozov D. (2001) Reliability Maintenance Under Age - Proportional Repairs, ESRL 2001 Towards a Safer World, Ed. E.Zio, M.Demichela, N.Piccinini, Politecnico di Torino, Proceedings of the European Safety and Reliability Meeting, v. 2, pp. 1147-1154.

* 127. Dimitrov B., Green D, Jr., and Rykov V. (2001) On the influence of the observability and controllability to the optimal control quality, Proceedings of the 5-th International Conference on Optimization. Techniques and Applications (ICOTA 2001, Editor D. Li), Hong Kong v. 2, pp. 669 - 687.

* 128. Dimitrov B., Khalil Z., Rykov V. and Ghitany M. (2001) Likelihood Ratio Test for Almost-Lack-of-Memory Distributions, Technical Report # 1/2001, Concordia University, Montreal, Canada. v. 2, pp. 669 - 687.

* 129. Dimitrov B., Chukova S., and Chakravarthy S. (2001) A simple unreliable service model characterizes exponential distribution. Kuwait Journal of Sciences v. 28, No. 2, pp. 203 - 212.

* 130. Dimitrov B., Chukova S., and Khalil Z. (2001) Warranty Costs: An Age Dependent Failure/Repair Model, SMCS, Research Report 01-20, Victoria Univ in Wellington, New Zealand 2001.

2002

* 131. Dimitrov B., and Kolev N. (2002) Bernoulli Trials: Extensions, Related Probability Distributions and Modeling Powers, Mathematics and Education in Mathematics, Proceedings of 31st Spring Conf. of the UBM, Borovec, April 2002, pp. 15-24.

* 132. Dimitrov B., Rykov V. and Stanchev P. (2002) On Multi-State Reliability Systems, 3rd International Conf. on Mathematical Methods in Reliability, Methodology and Practice, COMMUNICATIONS, NTNU, Trondheim, Norway, pp. 201-204.

* 133. Stanchev P., Dimitrov B. and Rykov V. (2002) Object recognition in the ANIMATION system 5-th IASTED International Conf. "Computer Graphics and Imaging", CGIM-2002, Aug. 12-14, Kuauai, Hawaii, USA.

* 134. Rykov V., and Dimitrov B. (2002) On Multi-State Reliability Systems, Applied Stochastic Models and Information Processes, Memorial Seminar to the 60th Birthday of V. Kalashnikov, Petrozavodsk Sept. 8-13, 2002, pp. 128-135.

* 135. B.Dimitrov, D.Green Jr., V. Rykov, P.Stanchev. (2002) On performance evaluation and optimization problems in queues with resequencing, Advances in Stochastic Modeling, ed. by J. Artalejo and A. Krishnamoorthy. Notable Publications, 2002, pp. 55-72.

* 136. Dimitrov B., Chukova S., and Vogt H. (2002) A Class of Symmetric Probability Distributions Similar to the Double Exponential, Engineering Simulations, v. 24, No. 5, pp. 25-37.

2003

* 137. B.Dimitrov, D.Green, V.Rykov, P.Stanchev (2003) On Statistical Hypothesis Testing via Simulation Methods, < International Jour. Information Theories & Applications, vol. 10, No. 4, pp. 408-414.

* 138. B.Dimitrov, V.Rykov, Z Krougly and M. Ghitany (2003) On properties and statistical estimation of ALM distributions. Proceedings of Hawaii International Conference on Statistics and Related fields, Honolulu, June 5-8, 2003. * 139. Stanchev P, Green D, Jr, Dimitrov B. (2003) High level color similarity retrieval, International Jour. Information Theories & Applications, vol. 10, No. 3, pp. 283-287.

* 140. Dimitrov B., Rykov V., Krougly Z. and Green D. (2003) Periodic non-stationary arrival process in queueing networks and their characterization. Proceedings of Workshop DCCN-2003,June 29-July 5, 2003, Moscow.

2004

* 141. Dimitrov B., Green D., Jr, Chukova S., and Khalil Z. (2004) Age Affecting Repairs and Warranty Costs. International conference "The Model of Durability, Aging and Degradation in Medicine, Biology, and Technique", St Petersburg, Russia, June 7-9, pp. 230-240.

* 142. V.Rykov, B.Dimitrov, D.Green Jr., P.Stanchev, (2004) Reliability Model For Biological Objects, International conference "The Model of Durability, Aging and Degradation in Medicine, Biology, and Technique" St Petersburg, Russia, June 7-9, pp. 230-240.

* 143. P.Stanchev, D.Green, Jr, B.Dimitrov, (2004) MPEG-7: The multimedia content description interface, International Journal "Information Theories & Applications" ", v. 11, No. 2, pp. 120-126. p 3802-3815 p 3802-3815

* 144. Rykov V., and Dimitrov B. (2004) On Reliability of Hierarchical Systems with Gradual Failures, Journal of Mathematical Sciences , v. 123, No 1, pp. 3802-3815. Article ID: 492650

* 145. B. Dimitrov, V. Rykov, Z. Krougly (2004) Periodic Poisson Processes and Almost-lack-of-memory Distributions. Automation and Remote Control , v. 65, No 10, pp. 1597-1610. (Translated from Russian)

* 146. B. Dimitrov, S. Chukova, and Z. Khalil (2004) Warranty Costs: An Age-Dependent Failure/Repair Model. Naval Research Logistic Quarterly v. 51, pp. 959-976.

* 147. P.Stanchev and B.Dimitrov (2004) WWW - based distance education course "Management Support Systems", Proceedings of the International Conference on Computing, Communications and Control Technologies, August 14-17, 2004 - Austin, Texas, USA, Volume 2, pp. 222-226.

* 148. V. Rykov, B.Dimitrov, D.Green Jr., P.Stanchev (2004) Reliability of Complex Hierarchical Fault Tolerance Systems. In: Abstracts of The 4-th International Conference on Mathematical Methods in Reliability (MMR-2004), Santa Fe, (USA), 21-25 July, 2004

* 149. B.Dimitrov (2004) The Use of IT in Teaching Mathematics at Kettering University, ITE Proceedings of the Conference on Information Technology in Education, Editor F. Zlatareva, September 2004, Elizabethtown, Pennsylvania, pp. 124 - 131

2005

* 150. P. Stanchev, D. Green Jr., B. Dimitrov (2005), Semantic Notation and Retrieval in Art and Architecture Image Collections, Third special workshop "Multimedia semantics, Pisa, June 22-24 2005, 45-53

* 151. B. Dimitrov, D. Green Jr., P. Stanchev (2005), Age Affecting Control in Biological Systems, In the ABSTRACTS if the 55th Session of the International Statistical Institute,Sydney, Australia, 2005, p.337.

* 152. P. Stanchev, D. Green Jr., B. Dimitrov (2005) Semantic Notation and Retrieval in Art and Architecture Image Collections Journal of Digital Information Management, Vol. 3, No. 4, December 2005, pp. 218-221.

* 153. V. Rykov, B. Dimitrov (2005) On Parameter Estimation of MAP Via Simulation Method,Proceedings of the Fifth Workshop on Simulation, St. Petersburg 2005, pp. 583 - 590.

* 154. B. Dimitrov, Z. Khalil, and G. Hayrapetyan (2005) Age Affecting Control in Biological Systems Explains the Mechanism of Aging and Longevity of Biological Systems IPSI - 2005,Venice, Italy, pp. 1-10.

2006

* 155. Dimitrov B., Green D. Jr., Rykov V., Stanchev P. (2006) On the Fair Share of the Reliability of an Entity between its Components, Maintenance and Reliability, 2 (30), pp. 44-47.

* 156. P. Stanchev, D. Green Jr., B. Dimitrov (2006), Some Issues in the Art Image Database Systems Journal of Digital Information Systems Vol. 4, No. 4, pp. 227 - 232.

2007

* 157. B. Dimitrov (2007) Lifetime Distributions and Equivalent Ages. Applications in Insurance, Risk, and More, Proceedings of the Third Brazilian Conference on Statistical Modelling in Insurance and Finance, March 25 - 30, 2007, Maresias, Brazil, pp. 21 - 40.

* 158. B. Dimitrov, G. Hayrapetyan, Z. Khalil, and P. Stanchev (2007) Aging and Longevity Control of Biological Systems via Drugs - a Reliability Model. e-journal: Reliability: Theory & Applications No 2, Vol.2: http://www.gnedenko-forum.org/Journal/files/022007/eng/article04_2_07_eng.pdf , June 2007, pp. 10 - 20.

* 159. Dimitrov B., Green D. Jr. and Stanchev P. (2007) Multidimensional Life Time Equivalence, Proceedings of the International Workshop "Distributed Computer and Communication Networks: Theory and Applications, Moscow, Russia Sept. 10-12, v. 1 , pp. 26-33.

* 160. Kolev, N., Dimitrov B and Goncalves, M. (2007) Sibuya's function, In: Proc. 11th International Congress on Insurance: Mathematics and Economics, Piareus, Greece.

2008

* 161. E. U. Ubong and B. Dimitrov (2008) A Statistical Approach in Studying the Air/Fuel Ratio Variation Based on Oxigen Sensors' Signals Transactions of CSICE Vol. 26, No. 1, pp. 11-23.

* 162. K. Ivanova, P. Stanchev, B. Dimitrov(2008) Analysis of the Distributions of Color Characteristics in Art Painting Images, Serdica J., Computing 2 pp. 111-136

* 163. Kolev, N., B. Domitrov and M. Goncalves (2008) Probabilistic properties of Sibuya's dependence function, RT-MAE 2008-18, Sao Paulo, (2008), 16p.

2009

* 164. B.Dimitrov, D.Green and P.Stanchev (2009) Warranty and Fair Pricing for Used Items in Two-Dimensional Life Time, VI International Conf. MMR'2009, Proceedings , Moscow, pp. 262-267;

* 165. B.Dimitrov and Sahib Esa (2009) Reliability Modeling of Political Processes, VI International Conf. MMR'2009, Proceedings , Moscow, pp. 268-272,

2010

* 166. E. U. Ubong, B. Dimitrov (2010) Regression of the Response Variable of a High Temperature PEMFC-PBI Based Membrane, J. Electrochem. Soc., Volume 157, Issue 7, pp. B1059-B1067.

* 167. B.Dimitrov (2010) Ages in Reliability and Bio Systems, Interpretations, Control, and Applications, Edtrs V. Rykov and N. Balakrishnan: "Mathematical and Statistical Models and Methods in Reliability" , Chapter 25, Springer Verlag.

* 168. B. Dimitrov (2010) Some Obreshkov Measures of Dependence and Their Use Compte Rendus de l'Academie Bulgare des Sciences Volume 63, No.1, pp. 15-18.

2011

* 169. S. Esa, and B. Dimitrov (2011) Survival Models of Some Political Processes,Proceedings of The 7-th Internatiional Conference on "Mathematical Methods in Reliability": Theory, Methds, Applications. Survival Models of Some Political Processes, (MMR2011). Edited by Lirong Cui & Xian Zhao. Beijing Institute of Technology Press, Paper id: 068, Beijing, pp. 801-808.

* 170. B. Dimitrov (2011) Distributions with Periodic Failure Rats In Reliability,Proceedings of The 7-th Internatiional Conference on "Mathematical Methods in Reliability": Theory. Methds. Applications. (MMR2011). Edited by Lirong Cui & Xian Zhao. Beijing Institute of Technology Press, Paper id: 031, Beijing, pp. 721-726.

* 171. B. Dimitrov, D. Green and P. Stanchev (2011) Distributions with Periodic Failure Rats and The Relevation Trinsformation, Proceedings of The 7-th Internatiional Conference on "Mathematical Methods in Reliability": Theory. Methds. Applications. (MMR2011). Edited by Lirong Cui & Xian Zhao. Beijing Institute of Technology Press, Paper id: 109, Beijing, pp. 397-401.

2012

* 172. B. Dimitrov (2012) Do the Live Time Distributions with Periodic Failure Ratess Exist in Reliability, International Conference PROBABILITY THEORY and its APPLICATION S (Moscow, June 26-30, 2012),

* 173. B. Dimitrov and Z. Khalil (2012) On the characterizations of probability distrivutions via properties of Reliability or queuing processes,v Internatiional Conference PROBABILITY THEORY and its APPLICATION S (Moscow, June 26-30, 2012),

2013

* 174. B. Dimitrov (2013) Measures of dependence in reliability, Proceedings of the 8-th International Conf. on Mathematical Methods in Reliability MMR2014, Stellenbosh, South Africa, July 1-4 , pp 65-69.

* 175. Sahib Esa and B. Dimitrov (2013) Dependencies in the world of politics, Proceedings of the 8-th International Conf. on Mathematical Methods in Reliability MMR2014, Stellenbosh, South Africa, July 1-4 , pp 70 - 73.

* 176. Sahib Esa and B. Dimitrov (2013) "Survival Models in Some Political Processes", Risk Analysis and Applications (RT&A), v. 8, # 3, (30) pp 97 - 102.

* 177. 11.B. Dimitrov, N. Kolev (2013) "The BALM Copula", International Journal of Stochastic Analysis, Vol. 2013, Article ID 652364, 6 pages, Hindawi Publishing Corporation 2013 (online journal).

2014

* 178. B. Dimitrov, S. Esa2, N. Kolev, G. Pitselis (2014) "Transfer a Global Measures of Dependence into Cumulative Local", Applied Mathematics, 2014, Vol. 5, pp. 315-327.

* 179. B. Dimitrov, L. Gawarecki (2014) (editors) Serdica Journal of Computing, Special Issue, v. 1: Flint International Conference, Kettering University, June 24-28, 2014 "

* 180. B. Dimitrov, (2014) " DEPENDENCE STRUCTURE OF SOME BIVARIATE DISTRIBUTIONS, Serdica J. Computing,v.8, No 3,101-122.

* 181. B. Dimitrov, L. Gawarecki (2014) (editors) Serdica Journal of Computing, Special Issue, v. 2: Flint International Conference, Kettering University, June 24-28, 2014 "

* 182. B. Dimitrov, (2014) Dependence between Random Events and Its Use, Proceedings of the FISC Conference booklet (2014), pp. 119 - 132.

2015

* 183. B. Dimitrov, L. Gawarecki (2015) (editors) Economic Quality Control, vol. 29, issue 2, Special Issue: Flint International Conference, Kettering University, June 24-28, 2014.

* 184. B. Dimitrov, L. Gawarecki (2015) ((editors) Economic Quality Control, vol. 30, issue 1, Special Issue: Flint International Conference, Kettering University, June 24-28, 2014.

*185. B. Dimitrov, S.Esa (2014) "ON THE LOCAL DEPENDENCE STRUCTURE IN POLITICS AND IN RELIABILITY DISTRIBUTIONS", Proceedings of the Tokyo MMR'2015.

Partially updated, August 2015

B. Dimitrov