Monte Carlo Statistical Methods

ISBN-10: 0387212396

ISBN-13: 9780387212395

Edition: 2nd 2004 (Revised)

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Description:

Monte Carlo statistical methods, particularly those based on Markov chains, are now an essential component of the standard set of techniques used by statisticians. This new edition has been revised towards a coherent and flowing coverage of these simulation techniques, with incorporation of the most recent developments in the field. In particular, the introductory coverage of random variable generation has been totally revised, with many concepts being unified through a fundamental theorem of simulationThere are five completely new chapters that cover Monte Carlo control, reversible jump, slice sampling, sequential Monte Carlo, and perfect sampling. There is a more in-depth coverage of Gibbs sampling, which is now contained in three consecutive chapters. The development of Gibbs sampling starts with slice sampling and its connection with the fundamental theorem of simulation, and builds up to two-stage Gibbs sampling and its theoretical properties. A third chapter covers the multi-stage Gibbs sampler and its variety of applications. Lastly, chapters from the previous edition have been revised towards easier access, with the examples getting more detailed coverage.This textbook is intended for a second year graduate course, but will also be useful to someone who either wants to apply simulation techniques for the resolution of practical problems or wishes to grasp the fundamental principles behind those methods. The authors do not assume familiarity with Monte Carlo techniques (such as random variable generation), with computer programming, or with any Markov chain theory (the necessary concepts are developed in Chapter 6). A solutions manual, which covers approximately 40% of the problems, is available for instructors who require the book for a course.Christian P. Robert is Professor of Statistics in the Applied Mathematics Department at Universit Paris Dauphine, France. He is also Head of the Statistics Laboratory at the Center for Research in Economics and Statistics (CREST) of the National Institute for Statistics and Economic Studies (INSEE) in Paris, and Adjunct Professor at Ecole Polytechnique. He has written three other books, including The Bayesian Choice, Second Edition, Springer 2001. He also edited Discretization and MCMC Convergence Assessment, Springer 1998. He has served as associate editor for the Annals of Statistics and the Journal of the American Statistical Association. He is a fellow of the Institute of Mathematical Statistics, and a winner of the Young Statistician Award of the Societi de Statistique de Paris in 1995.George Casella is Distinguished Professor and Chair, Department of Statistics, University of Florida. He has served as the Theory and Methods Editor of the Journal of the American Statistical Association and Executive Editor of Statistical Science. He has authored three other textbooks: Statistical Inference, Second Edition, 2001, with Roger L. Berger; Theory of Point Estimation, 1998, with Erich Lehmann; and Variance Components, 1992, with Shayle R. Searle and Charles E. McCulloch. He is a fellow of the Institute of Mathematical Statistics and the American Statistical Association, and an elected fellow of the International Statistical Institute.nbsp;nbsp;nbsp;nbsp;
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Book details

Edition: 2nd
Copyright year: 2004
Publisher: Springer
Publication date: 7/26/2005
Binding: Hardcover
Pages: 649
Size: 6.50" wide x 9.50" long x 1.50" tall
Weight: 2.838
Language: English

Introduction
Random Variable Generation
Monte Carlo Integration
Controlling Monte Carlo Variance
Monte Carlo Optimization
Markov Chains
The Metropolis-Hastings Algorithm
Thenbsp;Slice Sampler
The Two-Stage Gibbs Sampler
The Multi-Stage Gibbs Sampler
Variable Dimension Models and Reversible Jump
Diagnosing Convergence
Perfect Sampling
Iterated and Sequential Importance Sampling
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