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Title Modeling uncertainty : an examination of stochastic theory, methods, and applications / edited by Moshe Dror, Pierre Lécuyer, Ferenc Szidarovszky
Published Boston : Kluwer Academic Publishers, [2002]
©2002
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Description 1 online resource (xxviii, 770 pages) : illustrations
Series International series in operations research & management science ; 46
International series in operations research & management science ; 46
Contents Cover -- Contents -- Preface -- Contributing Authors -- 1 Professor Sidney J. Yakowitz -- Part I -- 2 Stability of Single Class Queueing Networks -- 1 Introduction -- 2 The Model -- 3 Stability: Introduction -- 4 Perturbed Liapunov Functions -- 5 Stability -- 3 Sequential Optimization Under Uncertainty -- 1 Introduction -- 2 Bandit Theory -- 3 Adaptive Control of Markov Chains -- 4 Stochastic Approximation -- 4 Exact Asymptotics for Large Deviation Probabilities, with Applications -- 1 Limit Theorems on the last negative sum and applications to nonparametric bandit theory -- 2 Large deviations in a space of trajectories -- 3 Asymptotic equivalence of the tail of the sum of independent random vectors and the tail of their maximum -- Part II -- 5 Stochastic Modelling of Early HIV Immune Responses Under Treatment by Protease Inhibitors -- 1 Introduction -- 2 A Stochastic Model of Early HIV Pathogenesis Under Treatment by a Protease Inbihitor -- 3 Mean Values of U(T)={T*(T), V0(T), V1(T)} -- 4 A State Space Model for the Early HIV Pathogenesis Under Treatment by Protease Inhibitors -- 5 An Example Using Real Data -- 6 Some Monte Carlo Studies -- 6 The impact of re-using hypodermic needles -- 1 Introduction -- 2 Geometric distribution with variable success probability -- 3 Validity of the distribution -- 4 Mean and variance of I -- 5 Intensity of epidemic -- 6 Reducing infection -- 7 The spread of the Ebola virus in 1976 -- 8 Conclusions -- 7 Nonparametric Frequency Detection and Optimal Coding in Molecular Biology -- 1 Introduction -- 2 The Spectral Envelope -- 3 Sequence Analyses -- 4 Discussion -- Part III -- 8 An Efficient Stochastic Approximation Algorithm for Stochastic Saddle Point Problems -- 1 Introduction -- 2 Stochastic saddle point problem -- 3 Discussion -- 4 Numerical Results -- 5 Conclusions -- Appendix: A: Proof of Theorems 1 and 2 -- Appendix: B: Proof of the Proposition -- 9 Regression Models for Binary Time Series -- 1 Introduction -- 2 Partial Likelihood Inference -- 3 Goodness of Fit -- 4 Logistic Regression -- 5 Categorical Data -- 10 Almost Sure Convergence Properties of Nadaraya-Watson Regression Estimates -- 1 Introduction -- 2 Results -- 3 Lemmas and Proofs -- 11 Strategies for Sequential Prediction of Stationary Time Series -- 1 Introduction -- 2 Universal prediction by partitioning estimates -- 3 Universal prediction by generalized linear estimates -- 4 Prediction of Gaussian processes -- Part IV -- 12 The Birth of Limit Cycles in Nonlinear Oligopolies with Continuously Distributed Information Lag -- 1 Introduction -- 2 Nonlinear Oligopoly Models -- 3 The Dynamic Model with Lag Structure -- 4 Bifurcation Analysis in the General Case -- 5 The Symmetric Case -- 6 Special Oligopoly Models -- 7 Conclusions -- 13 A Differential Game of Debt Contract Valuation -- 1 Introduction -- 2 The firm and the debt contract -- 3 A stochastic game -- 4 Equivalent risk neutral valuation -- 5 Debt and Equity valuations for Nash equilibrium strategies
Bibliography Includes bibliographical references and index
Subject Stochastic Processes.
Stochastic analysis.
Form Electronic book
Author Dror, Moshe.
Lécuyer, Pierre.
Szidarovszky, Ferenc.
LC no. 2001050485
ISBN 0306481022 (electronic bk.)
0792374630 (acid-free paper)
6610537739
9780306481024 (electronic bk.)
9780792374633 (acid-free paper)
9786610537730