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Ibrakhimjon Rakhimov, Sc.D.
Professor
Department of Mathematics and Statistics
University College
[email protected]
Academic Background
Sc.D. USSR Academy of Sciences, 1991
Ph.D. Uzbek Academy of Sciences, 1979
WORK EXPERIENCE:
Academic Experience
Professor of Mathematics and Statistics, King Fahd University of Peproleum and Minerals (February, 1998 - August, 2009),
Dhahran, Saudi Arabia.
Associate Professor, University Science Malaysia (February, 1995 - February, 1998), Penang, Malaysia-Pinang.
Professor, The Middle East Technical University (February, 1993 - December, 1995), Ankara, Turkey.
Professor, Tashkent State University of Economics (September, 1991 - February, 1993), Tashkent, Uzbekistan.
Leading Researcher, Uzbek Academy of Sciences (September, 1990 - February, 1993), Tashkent, Uzbekistan.
Associate Professor, The National University of Uzbekistan (September, 1990 - August, 1991), Tashkent, Uzbekistan.
Senior Researcher, Uzbek Academy of Sciences (September, 1980 - August, 1990), Tashkent, Uzbekistan.
Fellow Researcher, Uzbek Academy of Sciences (September, 1979 - August, 1980), Tashkent, Uzbekistan.
TEACHING:
Courses Taught
Courses taught, but not in the Schedule:
Business Statistics I,Business Statistics II,Probability and Statis. for Eng. and Scientists, Introduction to Statistics,Calculus I II
III, Mathematical Statistics,Stochastic Processes,Multivariate Statistics,Finite Mathematics,Ordinary Differential
Equations,Introduction to Probability and Statistics,Linear Programming,Introductory Algebra and Number Theory,Advanced
Probability Theory,Statistical Theory I II,Applied Stochastic Processes
INTELLECTUAL CONTRIBUTIONS:
Grid
Category
DBS
CTP
LPS
Total
Articles in Refereed Journals
59
59
Publications in Refereed Conference Proceedings
11
11
9
9
13
13
Books, Monographs, Compilations, Manuals, Supplements, Chapters, Cases, Readings
Presentations of Refereed Papers
Refereed Articles
Rakhimov, I. & Kankarej M., M. (2015). Forecasting the Number of Students in General Education in University College Using
Mathematical Modelling. Journal of Mathematical Sciences: Advances and Application.
Rakhimov, I. (2015). Random sums and Partially observed Branching Processes. JOURNAL OF APPLIED STATISTICAL
SCIENCES.
Rakhimov, I. (in press, 2014). Estimation of the offspring mean in a branching process with non-stationary immigration.
COMMUNICATIONS IN STATISTICS:THEORY AND METHODS.
Rakhimov, I. (2012). Conditional least squares estimators for the offspring mean in a subcritical branching process with
immigration. COMMUNICATIONS IN STATISTICS:THEORY AND METHODS, 41 (12), 2096-2110.
Rakhimov, I. & Yanev, G. P. (2012). Variance Estimators in Critical Branching Processes with Non-Homogeneous
Immigration. Mathematical Population Studies, 19, 188-199.
Rakhimov, I. (2011). Estimation of the offspring mean in a supercritical branching process with non-stationary immigration.
STATISTICS AND PROBABILITY LETTERS, 81, 907-914.
Rakhimov, I. (2011). Shrinkage estimation using ranked set samples. AJSE-MATHEMATICS, 36 (6), 1125-1138.
Rakhimov, I. & Omar, M. H. (2011). Validity of the bootstrap in the critical process with a non-stationary immigration.
JOURNAL OF NONPARAMETRIC STATISTICS, 23 (1), 1-19.
Rakhimov, I. (2011). Asymptotic behavior of a bootstrap branching process. EUROASIAN MATHEMATICAL JOURNAL, 2 (1),
128-144.
Abu-Dayyeh, W. & Rahimov, I. (2010). An identity for the exponential family model. Journal of Probability and Statistical
Science, 8 (1), 107-113.
Rakhimov, I. (2010). Limit behavior of a sum of martingale differences generated by array of nearly critical branching
process. JOURNAL OF APPLIED PROBABILITY AND STATISTICS.
Rakhimov, I. (2009). Asymptotically normal estimators for the offspring mean in the branching process with immigration.
COMMUNICATIONS IN STATISTICS:THEORY AND METHODS, 38 (1), 13-28.
Rakhimov, I. (2009). Approximation of fluctuations in a sequence of nearly critical branching processes. STOCHASTIC
MODELS, 25 (2), 348-373.
Rakhimov, I. (2009). Limit distributions for weighted estimators of the offspring mean in a branching process. Test, 18 (3),
568-583.
Rakhimov, I. (2009). Bootstrap of the offspring mean in the critical process with a non-stationary immigration. STOCHASTIC
PROCESSES AND THEIR APPLICATIONS, 119 (11), 3939-3954.
Rakhimov, I. & Omar, M. H. (2009). Bootstrap for critical branching process with non-stationary immigration. Pliska Studia
Mathematica Bulgarica.
Rakhimov, I. (2008). Deterministic approximation of a sequence of nearly critical branching processes. STOCHASTIC
ANALYSIS AND APPLICATIONS, 26 (5), 1013-1024.
Rakhimov, I. (2008). Two-type branching processes with sub-exponential life-spans and SIR epidemic models. STOCHASTIC
ANALYSIS AND APPLICATIONS, 26 (5), 925-940.
Rakhimov, I. & Chanane, B. (2008). Branching processes with incubation. STOCHASTIC MODELS, 24 (1), 71-88.
Rakhimov, I. & Malik, M. (2008). Records Generated by a Sequence of Branching Processes with immigration. Journal of
Applied Statistical Science, 16 (1), 27-36.
Rakhimov, I. (2008). Asymptotic distribution of the CLSE in a critical process. STOCHASTIC PROCESSES AND THEIR
APPLICATIONS, 119 (11), 3939-3954.
Rakhimov, I. & Al-Sabah, W. (2008). Limiting behavior of a generalized branching process with immigration. STATISTICS
AND PROBABILITY LETTERS.
Rakhimov, I. (2007). Asymptotic Behaviour of a Controlled Branching Process with Continuous State Space. STOCHASTIC
ANALYSIS AND APPLICATIONS.
Rakhimov, I. & Al-Sabah, W. (2007). Controlled branching processes with continuous states. JOURNAL OF APPLIED
PROBABILITY AND STATISTICS.
Rakhimov, I. (2007). Functional Limit Theorems for Critical Processes with Immigration. Advances in applied probability.
Rakhimov, I. (2007). On a Stochastic Model for Continuous Mass Branching Population. MATHEMATICS AND COMPUTERS IN
SIMULATION.
Rakhimov, I. & Kurbanov, S. (2007). On the Number of Productive individuals in the Galton-Watson Process with
Immigration. MATHEMATICS AND COMPUTERS IN SIMULATION.
Rakhimov, I. & Malik, M. (2004). Asymptotic Behavior of Expected Record Values. PAKISTAN JOURNAL OF STATISTICS.
Rakhimov, I. (2004). Limit Theorems for the size of Subpopulation of Productive Individuals. STOCHASTIC MODELS.
Rakhimov, I. & Muttlak, H. (2004). Random Sums of Random Vectors and Multi Type Families of Productive Individuals.
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES.
Rakhimov, I. & Muttlak, H. (2003). . Random Sum Approach to Study of a Noncritical Branching Model. I. INTERNATIONAL
MATHEMATICAL JOURNAL.
Rakhimov, I. & Muttlak, H. (2003). Estimation of the population mean using random selection in ranked set samples.
Rakhimov, I. & Muttlak, H. (2003). Estimation of the population mean using random selection in ranked set samples.
STATISTICS AND PROBABILITY LETTERS.
Rakhimov, I. & Muttlak, H. (2003). Investigating the Estimation of the Population Mean Using Random Ranked Set Samples.
NONPARAMETRIC STATISTICS.
Rakhimov, I. (2003). Random Sums of Independent Indicators and Generalized Reduced Processes. STOCHASTIC ANALYSIS
AND APPLICATIONS.
Rakhimov, I. & Ahsanullah, M. (2003). Records Related to Sequence of Branching Stochastic Processes. PAKISTAN JOURNAL
OF STATISTICS.
Rakhimov, I. (2002). Distributions for Generalized Reduced Branching Processes. INTERNATIONAL MATHEMATICAL
JOURNAL.
Rakhimov, I. (2002). Multitype Generalized Reduced Processes. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS.
Rakhimov, I. & Ahsanullah, M. (2001). Records generated by total progeny of branching stochastic processes. FAR EAST
JOURNAL OF THEORETICAL STATISTICS, 5 (1), 81-94.
Rakhimov, I. (2001). Approximation of exceedance processes in large populations. STOCHASTIC MODELS, 17 (2), 147-156.
Rakhimov, I. & Muttlak, H. (2001). Random ranked set samples. PAKISTAN JOURNAL OF STATISTICS.
Rakhimov, I. (2000). A Limit Theorem for Multitype General Branching Processes with Generalized Immigration. Journal of
Apllied statistical Science.
Rakhimov, I. & Al-Sabah, W. (2000). Branching processes with decreasing immigration and tribal emigration. Arab Journal of
Mathematical Sciences.
Rakhimov, I. (2000). On the Non-Extinction Probability of Branching Diffusions. JOURNAL OF APPLIED STATISTICAL
SCIENCES.
Rakhimov, I. & Yanev, G. (1999). On Maximum Family Size in Branching Processes, Journal of Applied Probability, V.36, No
3, p. 632-643. Journal of Applied Probability.
Rakhimov, I. (1998). Multitype Processes with Reproduction-Dependent Immigration, Journal of Applied Probability, V. 35, No.
2, P. 281-292. Journal of Applied Probability.
Rakhimov, I. & Kassim, S. (1997). Record Values Concerning a Family of Age-Dependent Processes. The Bulletin of the
Malaysian Mathematical Societe.
Rakhimov, I. & Teshabaev, A. (1996). Teshabaev, A., Decomposable branching processes with decreasing immigration.
Journal of Applied Statistical Science.
Rakhimov, I. (1993). Critical Processes with infinite variance and increasing immigration. Mathematical Notes.
Rakhimov, I. (1992). The General branching processes with immigration depending on reproduction. Theory of Probability
and its Applications.
Rakhimov, I. (1991). Sampling sums of dependent variables, mixtures of infinitely divisible distributions and branching
stochastic processes. Discrete Mathematics.
Rakhimov, I. (1989). Asymptotic behavior of families of particles in branching random processes. Soviet Math. Docl..
Rakhimov, I. (1989). On "A limit theorem for random sums of dependent indicators". Theory of Probability and its
Applications.
Rakhimov, I. (1988). A local theorem for Galton-Watson processes with immigration in the case of uniform limit distribution.
Serdica Math. J..
Rakhimov, I. & Sirazhitdinov, S. Kh. (1988). Approximation of distribution of a sum in a certain scheme for summation of
independent random variables. Docl. Acad. Nauk USSR.
Rakhimov, I. (1988). Local limit theorems for branching random processes with decreasing immigration. Theory of
Probability and its Applications.
Rakhimov, I. (1987). Limit theorems for random sums of dependent indicators and their applications in the theory of
branching processes. Theory of Probability and its Applications.
Rakhimov, I. (1986). Critical branching processes with infinite variance and decreasing immigration. Theory of Probability
and its Applications.
Rakhimov, I. (1984). On the limit theorems for a sequence of branching processes with non-homogeneous immigration.
Theory of Probability and its Applications.
Badalbaev, I. S. & Rakhimov, I. (1983). Further results on branching processes with immigration decreasing intensity.
Theory of Probability and its Applications.
Badalbaev, I. S. & Rakhimov, I. (1978). Critical branching processes with immigration decreasing intensity. Theory of
Probability and its Applications.
Refereed Proceedings
Full Paper
Rakhimov, I. (2014). Effects of Homework on a Mathematical Modeling Course. 3rd International Conference on Computer
Engineering and Mathematical Sciences (ICCEMS 2014).
Yanev, G. P. & Rahimov, I. (2012). Offspring Variance Estimators in Branching Processes with Time Non-Homogeneous
Immigration. 2012 International Conference on Stochastic Processes in System Biology, Genetics and Evolution.
Rakhimov, I. & Omar, M. H. (2008). Bootstrap for critical branching process with non-stationary immigration. XIII
INTERNATIONAL SUMMER CONFERENCE ON PROBABILITY AND STATISTICS June 21-28, 2008, Sozopol, Bulgaria.
Rakhimov, I. & Kurbanov, S. (2007). . On the Number of Productive individuals in the Galton-Watson Process with
Immigration. MODELLING 2005, Third IMACS Conference on Mathematical Modelling. July 4-8, 2005, Pilsen, Szech Republic.
Rakhimov, I. (2007). On a Stochastic Model for Continuous Mass Branching Population. MODELLING 2005, Third IMACS
Conference on Mathematical Modelling. July 4-8, 2005, Pilsen, Szech Republic.
Rakhimov, I. (2004). On the Number of Large Families in a Branching population. Dynamical Systems and Applications-2004,
Antalya, Turkey, July 5-10, 2004,.
Abstract Only
Rakhimov, I. (2009). Weighted CLSE of the offspring mean in a non-homogeneous branching process. THE THIRD
INTERNATIONAL CONFERENCE ON MODELING, SIMULATION and APPLIED OPTIMIZATION, January 20-22, 2009, AUS,
Sharjah, UAE..
Rakhimov, I. (2009). A branching stochastic model with incubation. THE THIRD INTERNATIONAL CONFERENCE ON
MODELING, SIMULATION and APPLIED OPTIMIZATION, January 20-22, 2009, AUS, Sharjah, UAE..
Rakhimov, I. (2008). A deterministic approximation of the branching stochastic process and applications. SYMPOSIUM ON
GLOBAL ANALYSIS AND PROBABILITY, May 26-30, 2008, Gaseem, KSA.
Rakhimov, I. (2007). Age-dependent branching processes with incubation. WORKSHOP ON STOCHASTIC MODELLING IN
POPULATION DYNAMICS, April 10-14, 2007, Marseille, France..
Rakhimov, I. (2007). Convergence of the immigration-branching process and conditional least-squares. WORKSHOP ON
STOCHASTIC MODELLING IN POPULATION DYNAMICS, April 10-14, 2007, Marseille, France..
Book
Rakhimov, I. (2005). Random Sums and Branching Stochastic Processes.
Rakhimov, I. (1993). Non-Homogeneous Flows of Branching Processes.
Book Chapters
Refereed
Rakhimov, I. (2010). Approximation of a sum of martingale differences generated by a bootstrap branching process. Branching
Processes and their Applications, Springer Lecture Notes in Statistics, V. 197.
Rakhimov, I. & Muttlak, H. (2010). Random Ranked Set Samples.. RANKED SET SAMPLING, Chapter V, Cambridge Scholars
Publishing. .
Rakhimov, I. (2008). Large families and exceedances in branching processes. RECORDS AND BRANCHING PROCESSES. Nova
Science Publishers Inc. (USA) ..
Rakhimov, I. (2001). Immigration-Branching Diffusions ad their extinction. APPLIED STATISTICAL SCIENCE V.
Rakhimov, I. (1997). A Transfer Theorem for Multitype Processes and its Applications. APPLIED STATISTICAL SCIENCE II.
Rakhimov, I. (1997). Record values of a family of branching processes. Classical and Modern Branching Processes,.
Springer-Verlag.
Rakhimov, I. (1995). Branching Processes as a Sums of Dependent Random Variables. BRANCHING PROCESSES.
Springer-Verlag.
Presentation of Refereed Papers
International
Rakhimov, I. (2015). On a New Application of the Random Sum of Dependent Random Variables. The Second International
Conference on Mathematics and Statistics, AUS, April, 2015, Special Session "Mathematical Finance and Probability",, Sharjah,
United Arab Emirates.
Rakhimov, I. (2014). Effects of Homework on a Mathematical Modeling Course. The 3rd International Conference on
Computer Engineering and Mathematical Sciences (ICCEMS 2014), December 4-5, 2014, Langkawi, Malaysia, Langkawi,
Malaysia.
Rakhimov, I. & Yanev, G. P. (2012). Variance Estimators in Critical Branching Processes with Non-Homogeneous Immigration.
2012 International Conference on Stochastic Processes in System Biology, Genetics and Evolution, Houston, Texas.
Rakhimov, I. (2011). Validity of the Bootstrap in Certain Class of Stochastic processes. COMSTECH Workshop on
MATHEMATICAL SCINCES AND THEIR APPLICATIONS, Islmabad, Pakistan.
Rakhimov, I. (2010). Necessary conditions for the validity of the bootstrap in a branching process. FIRST INTERNATIONAL
CONFERENCE ON MATHEMATICS AND STATISICS, Sharjah, United Arab Emirates.
Rakhimov, I. (2009). Weighted CLSE of the offspring mean in a non-homogeneous branching process. THE THIRD
INTERNATIONAL CONFERENCE ON MODELING, SIMULATION and APPLIED OPTIMIZATION, Sharjah, United Arab Emirates.
Rakhimov, I. (2009). A branching stochastic model with incubation. THE THIRD INTERNATIONAL CONFERENCE ON
MODELING, SIMULATION and APPLIED OPTIMIZATION, Sharjah, United Arab Emirates.
Rakhimov, I. (2009). Approximation of a sum of martingale-differences generated by a bootstrap branching process.
WORKSHOP ON BRANCHING PROCESSES AND THEIR APPLICATIONS, Badajoz, Spain.
Rakhimov, I. (2008). Bootstrap for critical branching process with non-stationary immigration. XIII INTERNATIONAL SUMMER
CONFERENCE ON PROBABILITY AND STATISTICS June 21-28, 2008, Sozopol, Bulgaria, Sozopol, Bulgaria.
Rakhimov, I. (2008). A deterministic approximation of the branching stochastic process and applications. SYMPOSIUM ON
GLOBAL ANALYSIS AND PROBABILITY, Gaseem, Saudi Arabia.
Rakhimov, I. (2007). Convergence of the immigration-branching process and conditional least-squares. WORKSHOP ON
STOCHASTIC MODELLING IN POPULATION DYNAMICS, April 10-14, 2007, Marseille, France., Marseille, France.
Rakhimov, I. (2007). Age-dependent branching processes with incubation. WORKSHOP ON STOCHASTIC MODELLING IN
POPULATION DYNAMICS, Marseille, France.
National
Rakhimov, I. (2014). On a natural estimator for the offspring mean in a branching process with non-stationary immigration.
12 UAE Math day, Dubai, United Arab Emirates.
SERVICE:
Service to the University
College Assignments
Member:
2014-2015: University College Promotion Committee
2012-2013 – 2013-2014: University College Promotion Commettee
2009-2010 – 2010-2011: University College Research Committee
University Assignments
Member:
2012-2013 – 2013-2014: University Faculty Promotion Advisory Committee
Service to the Profession
Reviewer - Article / Manuscript
2009 – 2010: Mathematical Reviews.
2009 – 2010: Journal TEST.
2009: International Journal of Mathematics and Computation.
1997: Advances in Applied Probability.
1996: Journal of Applied Probability.
Editor: Associate Editor
2010: International Journal of Mathematics and Computation.
2009 – 2010: AJSE-Mathematics.
2007 – 2010: Journal of Applied Probability and Statistics.
2003 – 2010: Journal of Statistical Theory and Applications.
1995 – 2010: Journal of Applied Statistical Science.
2002: Statistical Theory and A[pplications.
2001: Journal of Statistical Theory and Applications.
1994: Journal of Applied Statistical Science. 1994-the date
Member: Committee/Task Force
2009: UAE Math Day.
Officer: Organization / Association
1997: 51 st Session of the International Statistical Institute, Istanbul 1997.
Last updated by member on 20-Aug-15 (10:50 AM)