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Mathematics - Probability Theory and Stochastic Processes | Modeling Uncertainty - An Examination of Stochastic Theory, Methods, and Applications

Modeling Uncertainty

An Examination of Stochastic Theory, Methods, and Applications

Dror, Moshe, L'Ecuyer, Pierre, Szidarovszky, Ferenc (Eds.)

2002, XXX, 770 p.

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Modeling Uncertainty: An Examination of Stochastic Theory, Methods, and Applications, is a volume undertaken by the friends and colleagues of Sid Yakowitz in his honor. Fifty internionally known scholars have collectively contributed 30 papers on modeling uncertainty to this volume. Each of these papers was carefully reviewed and in the majority of cases the original submission was revised before being accepted for publication in the book. The papers cover a great variety of topics in probability, statistics, economics, stochastic optimization, control theory, regression analysis, simulation, stochastic programming, Markov decision process, application in the HIV context, and others. There are papers with a theoretical emphasis and others that focus on applications. A number of papers survey the work in a particular area and in a few papers the authors present their personal view of a topic. It is a book with a considerable number of expository articles, which are accessible to a nonexpert - a graduate student in mathematics, statistics, engineering, and economics departments, or just anyone with some mathematical background who is interested in a preliminary exposition of a particular topic. Many of the papers present the state of the art of a specific area or represent original contributions which advance the present state of knowledge. In sum, it is a book of considerable interest to a broad range of academic researchers and students of stochastic systems.

Content Level » Research

Keywords » Markov Chain - Markov Chains - Markov decision process - Regression analysis - SAS - Statistical Methods - Stochastic Approximation - Stochastic Programming - Stochastic Theory - Stochastic model - Stochastic modelling - Time series - mixing - optimization

Related subjects » Operations Research & Decision Theory - Probability Theory and Stochastic Processes - Statistics

Table of contents 

Preface. Contributing Authors. 1. Professor Sidney J. Yakowitz; D.S. Yakowitz. Part I. 2. Stability of Single Class Queueing Networks; H.J. Kushner. 3. Sequential Optimization Under Uncertainty; Tze Leung Lai. 4. Exact Asymptotics for Large Deviation Probabilities, with Applications; I. Pinelis. Part II. 5. Stochastic Modelling of Early HIV Immune Responses Under Treatment by Protease Inhibitors; Wai-Yuang Tan, Zhihuo Xiang. 6. The impact of re-using hypodermic needles; B. Barnes, J. Gani. 7. Nonparametric Frequency Detection and Optimal Coding in Molecular Biology; D.S. Stoffer. Part III. 8. An Efficient Stochastic Approximation Algorithm for Stochastic Saddle Point Problems; A. Nemirovski, R.Y. Rubinstein. 9. Regression Models for Binary Time Series; B. Kedem, K. Fokianos. 10. Almost Sure Convergence Properties of Nadaraya-Watson Regression Estimates; H. Walk. 11. Strategies for Sequential Prediction of Stationary Time Series; L. Györfi, G. Lugosi. Part IV. 12. The Birth of Limit Cycles in Nonlinear Oligopolies with Continuously Distributed Information Lag; C. Chiarella, F. Szidarovszky. 13. A Differential Game of Debt Contract Valuation; A. Haurie, F. Moresino. 14. Huge Capacity Planning and Resource Pricing for Pioneering Projects; D. Porter. 15. Affordable Upgrades of Complex Systems: A Multilevel, Performance-Based Approach; J.A. Reneke, et al. 16. On Successive Approximation of Optimal Control of Stochastic Dynamic Systems;Fei-Yue Wang, G.N. Saridis. 17. Stability of Random Iterative Mappings; L. Gerencsér. Part V. 18. `Unobserved' Monte Carlo Methods for Adaptive Algorithms; V. Solo. 19. Random Search Under Additive Noise; L. Devroye, A. Krzyzak. 20. Recent Advances in Randomized Quasi-Monte Carlo Methods; P. L'Ecuyer, C. Lemieux. Part VI. 21. Singularly Perturbed Markov Chains and Applications to Large-Scale Systems under Uncertainty; G. Yin, et al. 22. Risk-Sensitive Optimal Control in Communicating Average Markov Decision Chains; R. Cavazos-Cadena, E. Fernández-Gaucherand. 23. Some Aspects of Statistical Inference in a Markovian and Mixing Framework; G.G. Roussas. Part VII. 24. Stochastic Ordening of Order Statistics II; P.J. Boland, et al. 25. Vehicle Routing with Stochastic Demands: Models & Computational Methods; M. Dror. 26. Life in the Fast Lane: Yates's Algorithm, Fast Fourier and Walsh Transforms; P.J. Sanchez, et al. 27. Uncertainty Bounds in Parameter Estimation with Limited Data; J.C. Spall. 28. A Tutorial on Hierarchical Lossless Data Compression; J.C. Kieffer. Part VIII. 29. Eureka! Bellman's Principle of Optimality is valid!; M. Sniedovich. 30. Reflections on Statistical Methods for Complex Stochastic Systems; M.F. Neuts. Author Index.

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