Table of contents

  1. Front Matter
    Pages i-x
  2. Jim Albert
    Pages 1-17
  3. Jim Albert
    Pages 19-37
  4. Jim Albert
    Pages 39-61
  5. Jim Albert
    Pages 63-86
  6. Jim Albert
    Pages 87-115
  7. Jim Albert
    Pages 117-152
  8. Jim Albert
    Pages 153-179
  9. Jim Albert
    Pages 181-204
  10. Jim Albert
    Pages 205-234
  11. Jim Albert
    Pages 235-264
  12. Jim Albert
    Pages 265-286
  13. Back Matter
    Pages 1-12

About this book

Introduction

There has been a dramatic growth in the development and application of Bayesian inferential methods. Some of this growth is due to the availability of powerful simulation-based algorithms to summarize posterior distributions. There has been also a growing interest in the use of the system R for statistical analyses. R's open source nature, free availability, and large number of contributor packages have made R the software of choice for many statisticians in education and industry.

Bayesian Computation with R introduces Bayesian modeling by the use of computation using the R language. The early chapters present the basic tenets of Bayesian thinking by use of familiar one and two-parameter inferential problems. Bayesian computational methods such as Laplace's method, rejection sampling, and the SIR algorithm are illustrated in the context of a random effects model. The construction and implementation of Markov Chain Monte Carlo (MCMC) methods is introduced. These simulation-based algorithms are implemented for a variety of Bayesian applications such as normal and binary response regression, hierarchical modeling, order-restricted inference, and robust modeling. Algorithms written in R are used to develop Bayesian tests and assess Bayesian models by use of the posterior predictive distribution. The use of R to interface with WinBUGS, a popular MCMC computing language, is described with several illustrative examples.

This book is a suitable companion book for an introductory course on Bayesian methods and is valuable to the statistical practitioner who wishes to learn more about the R language and Bayesian methodology. The LearnBayes package, written by the author and available from the CRAN website, contains all of the R functions described in the book.

The second edition contains several new topics such as the use of mixtures of conjugate priors and the use of Zellner’s g priors to choose between models in linear regression. There are more illustrations of the construction of informative prior distributions, such as the use of conditional means priors and multivariate normal priors in binary regressions. The new edition contains changes in the R code illustrations according to the latest edition of the LearnBayes package.

Jim Albert is Professor of Statistics at Bowling Green State University. He is Fellow of the American Statistical Association and is past editor of The American Statistician. His books include Ordinal Data Modeling (with Val Johnson), Workshop Statistics: Discovery with Data, A Bayesian Approach (with Allan Rossman), and Bayesian Computation using Minitab.

Keywords

Bayesian Inference Hierarchical modeling Markov Chain Monte Carlo Monte Carlo method Regression STATISTICA WinBUGS linear regression

Authors and affiliations

  • Jim Albert

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Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-92298-0
  • Copyright Information Springer-Verlag New York 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-92297-3
  • Online ISBN 978-0-387-92298-0
  • About this book