• Math-662(101) Probability Distributions        Course Website (topics, schedule and other information)
• Math-691(101) Stochastic Processes and Applications         Course Website (topics, schedule and other information)
• Math-790C(694) Doctoral Dissertation and Research

Spring 2008 courses

• Math-698(102) Sampling Theory   Course Website (topics, schedule and other information)
• Math-668(102) Probability Theory  Course Website (topics, schedule and other information)
• Math-790C(694) Doctoral Dissertation and Research

Fall 2007 courses

• Math-761(101) Statistical Reliability Theory & Applications
          Course webpage and syllabus
          Solution of last Homework         Current Homework
• Math-710(694) Graduate Research Methods
• Math-593(694) Graduate Co-Op Work Experience IV

• Applied Probability and Stochastic Modeling
• Reliability and Survival Analysis, Repairable Systems
• Statistical Inference for models of aging and degradation

The primary focus of the research by Manish C. Bhattacharjee is on applied probability with particular emphasis on reliability theory and corresponding statistical issues arising in stochastic modeling of system performance and degradation. His studies in statistical reliability theory covers the topics of nonparametric classes of survival distributions, their closure properties under formation of systems with similarly aging components, related characterization problems, repairable systems and non-traditional applications of reliability theoretic methods and ideas to other areas such as (i) queueing - in operations research, (ii) branching processes in applied probability, and (iii) modeling economic inequality.

His current projects include investigation of conditions for shape-duality between hazard rate and mean residual life functions, and closure properties of randomly stopped sums with geometric stopping times that arise in many applications, such as in queueing, ruin probability problems in actuarial science, and shock models of failure.

• "New Order Preserving Properties of Geometric Compounds," ( joint with S. Ravi, R. Vasudeva, N.R. Mohan), Statistics & Probability Letters, 64, 113-120 (2003)
• "Discrete Convex Ordered Lifetimes : Characterization, equivalence and applications," Sankhya 65(2), 292-306 (2003)
• "Comparison of Random Sums in some integral orderings and applications," Sankhya 66(3), 450-465 (2004)
• "Adaptive Economic Choices under Recurrent Disasters: a Bayesian perspective," in Handbook of Beta Distribution and Its Applications, A.K. Gupta & S. Nadarajah (eds.), Mercel Dekker Inc., 457-484, (2004).

• "A Family of Probability Generating Functions induced by Shock models."(Joint with Satrajit Roychoudhury), Invited paper in IMS Collection, vol. 1, forthcoming(2008)
• "Using Dynamic Programming Methods in Repair and Replacement problems" in Encyclopedia of Statistics in Quality and Reliability (February 2008), Fabrizio Ruggeri (Editor-in-Chief), Ron S. Kenett (Editor-in-Chief), Frederick W. Faltin (Editor-in-Chief); ISBN: 978-0-470-01861-3
• " Comparison of Random Sums in some integral orderings and applications", Sankhya 66(3), 450-465 (2004)
• " Adaptive Economic Choices under Recurrent Disasters: a Bayesian perspective", in Handbook of Beta Distribution and Its Applications, A.K. Gupta & S. Nadarajah (eds.), Mercel Dekker Inc., 457-484, (2004).
• " Discrete Convex Ordered Lifetimes : Characterization, equivalence and applications", Sankhya 65(2), 292-306 (2003)

• Using Dynamic Programming methods in Repair and Replacement problems,2007 (To appear in "Encyclopedia of Quality and Reliability",Wiley)
• A Family of Probability Generating Functions induced by Shock models. (Joint with S. Roychoudhury, 2007)(Revised version to appear in Festchrift to P.K. Sen, IMS Lecture Notes-Monograph Series)
• Strong Versions of the DFR Property. 2006