Bayesian data analysis /

"Preface This book is intended to have three roles and to serve three associated audiences: an introductory text on Bayesian inference starting from first principles, a graduate text on effective current approaches to Bayesian modeling and computation in statistics and related fields, and a han...

Full description

Saved in:
Bibliographic Details
Main Authors: Gelman, Andrew (Author), Carlin, John B. (Author), Stern, Hal Steven (Author), Dunson, David B. (Author), Vehtari, Aki (Author), Rubin, Donald B. (Author)
Format: Electronic eBook
Language:English
Published: Boca Raton : CRC Press, [2014]
Edition:Third edition.
Series:Texts in statistical science.
Subjects:
Online Access:CONNECT
Table of Contents:
  • Part I:
  • Fundamentals of Bayesian inference.
  • Probability and inference
  • Single-parameter models
  • Introduction to multiparameter models
  • Asymptotics and connections to non-Bayesian approaches
  • Hierarchical models Part II: Fundamentals of Bayesian data analysis.
  • Model checking
  • Evaluating, comparing, and expanding models
  • Modeling accounting for data collection
  • Decision analysis Part III:
  • Advanced computation.
  • Introduction to Bayesian computation
  • Basics of Markov chain simulation
  • Computationally efficient Markov chain simulation
  • Modal and distributional approximations Part IV:
  • Regression models.
  • Introduction to regression models
  • Hierarchical linear models
  • Generalized linear models
  • Models for robust inference
  • Models for missing data Part V:
  • Nonlinear and nonparametric models.
  • Parametric nonlinear models
  • Basis function models
  • Gaussian process models
  • Finite mixture models
  • Dirichlet process models
  • A. Standard probability distributions
  • B. Outline of proofs of limit theorems
  • Computation in R and Stan.