Contents

List o f models

List o f exam p les

P refac e

P a r t I: Fundam ent als o f B aye sian Infere n ce

1 Background

2 Sin gle-parame t e r models

3 Introduction to multiparameter models

4 Large-sample inference and frequency properties of Bayesian inference

Part II: Fundamentals of Bayesian Data Analysis

5 Hierarchical models

6 Model checking and improvement

7 Modeling accounting for data collection

8 Connections and challenges

9 General advice

Part III: Advanced Computation

10 Overview of computation

11 P osterior simula t ion

12 Approximations based on posterior modes

13 Special topics in computation

14 Introduction to regression models

15 Hierarchical linear models

16 Generalized linear models

17 Models for robust inference

18 Mixture models

19 Multivariate models

20 Nonlinear models

21 Models for missing data

22 Decision a nalysis