Monte Carlo Statistical Methods

Monte Carlo statistical methods, particularly those based on Markov chains, have now matured to be part of the standard set of techniques used by statisticians. This book is intended to bring these techniques into the class­ room, being (we hope) a self-contained logical development of the subject,...

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Bibliographic Details
Main Authors: Robert, Christian, Casella, George
Format: eBook
Language:English
Published: New York, NY Springer New York 1999
Edition:1
Series:Springer Texts in Statistics
Subjects:
ISBN:147573073X, 9781475730739, 9781475730722, 038798707X, 1475730721, 9780387987071
ISSN:1431-875X
Online Access:Get full text
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Table of Contents:
  • Springer Texts in Statistics -- Monte Carlo Statistical Methods -- Copyright -- Preface -- Contents -- List of Tables -- List of Figures -- CHAPTER 1 Introduction -- CHAPTER 2 Random Variable Generation -- CHAPTER 3 Monte Carlo Integration -- CHAPTER 4 Markov Chains -- CHAPTER 5 Monte Carlo Optimization -- CHAPTER 6 The Metropolis-Hastings Algorithm -- CHAPTER 7 The Gibbs Sampler -- CHAPTER 8 Diagnosing Convergence -- CHAPTER 9 Implementation in Missing Data Models -- APPENDIX A Probability Distributions -- APPENDIX B Notation -- APPENDIX C References -- Author Index -- Subject Index
  • 1 Introduction -- 2 Random Variable Generation -- 3 Monte Carlo Integration -- 4 Markov Chains -- 5 Monte Carlo Optimization -- 6 The Metropolis-Hastings Algorithm -- 7 The Gibbs Sampler -- 8 Diagnosing Convergence -- 9 Implementation in Missing Data Models -- A Probability Distributions -- B Notation -- B.1 Mathematical -- B.2 Probability -- B.3 Distributions -- B.4 Markov Chains -- B.5 Statistics -- B.6 Algorithms -- C References -- Author Index.