0%

Book Description

Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors—all leaders in the statistics community—introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice.

New to the Third Edition

  • Four new chapters on nonparametric modeling
  • Coverage of weakly informative priors and boundary-avoiding priors
  • Updated discussion of cross-validation and predictive information criteria
  • Improved convergence monitoring and effective sample size calculations for iterative simulation
  • Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation
  • New and revised software code

The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book’s web page.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Contents
  5. Preface
  6. Part I: Fundamentals of Bayesian Inference
    1. 1 Probability and inference
    2. 2 Single-parameter models
    3. 3 Introduction to multiparameter models
    4. 4 Asymptotics and connections to non-Bayesian approaches
    5. 5 Hierarchical models
  7. Part II: Fundamentals of Bayesian Data Analysis
    1. 6 Model checking
    2. 7 Evaluating, comparing, and expanding models
    3. 8 Modeling accounting for data collection
    4. 9 Decision analysis
  8. Part III: Advanced Computation
    1. 10 Introduction to Bayesian computation
    2. 11 Basics of Markov chain simulation
    3. 12 Computationally efficient Markov chain simulation
    4. 13 Modal and distributional approximations
  9. Part IV: Regression Models
    1. 14 Introduction to regression models
    2. 15 Hierarchical linear models
    3. 16 Generalized linear models
    4. 17 Models for robust inference
    5. 18 Models for missing data
  10. Part V: Nonlinear and Nonparametric Models
    1. 19 Parametric nonlinear models
    2. 20 Basis function models
    3. 21 Gaussian process models
    4. 22 Finite mixture models
    5. 23 Dirichlet process models
  11. A Standard probability distributions
  12. B Outline of proofs of limit theorems
  13. C Computation in R and Stan
  14. References
  15. Author Index
  16. Subject Index