Bayesian data analysis
Incorporating new and updated information, this second edition of THE bestselling text in Bayesian data analysis continues to emphasize practice over theory, describing how to conceptualize, perform, and critique statistical analyses from a Bayesian perspective. Its world-class authors provide guidance on all aspects of Bayesian data analysis and i "Preface This book is intended to have three roles and to serve three associated audiences: an introductory text on Bayesian inference starting fro…
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- Full title :Bayesian data analysis / Andrew Gelman, John B. Carlin, Hal S. Stern, Donald B. Rubin.
Summary
Incorporating new and updated information, this second edition of THE bestselling text in Bayesian data analysis continues to emphasize practice over theory, describing how to conceptualize, perform, and critique statistical analyses from a Bayesian perspective. Its world-class authors provide guidance on all aspects of Bayesian data analysis and i
"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 handbook of Bayesian methods in applied statistics for general users of and researchers in applied statistics. Although introductory in its early sections, the book is definitely not elementary in the sense of a first text in statistics. The mathematics used in our book is basic probability and statistics, elementary calculus, and linear algebra. A review of probability notation is given in Chapter 1 along with a more detailed list of topics assumed to have been studied. The practical orientation of the book means that the reader's previous experience in probability, statistics, and linear algebra should ideally have included strong computational components. To write an introductory text alone would leave many readers with only a taste of the conceptual elements but no guidance for venturing into genuine practical applications, beyond those where Bayesian methods agree essentially with standard non-Bayesian analyses. On the other hand, we feel it would be a mistake to present the advanced methods without first introducing the basic concepts from our data-analytic perspective. Furthermore, due to the nature of applied statistics, a text on current Bayesian methodology would be incomplete without a variety of worked examples drawn from real applications. To avoid cluttering the main narrative, there are bibliographic notes at the end of each chapter and references at the end of the book"--
Edition Statements
- Publication Date:©2004.
- Edition:2nd ed
Publication Statements
- Publisher(s):Chapman & Hall/CRC
- Place of Publication:Boca Raton, Fla
- Language:eng
- Publication Date:©2004.
The Physical Object
- Description:1 online resource (xxv, 668 pages) : : illustrations, maps.
Edition Identifiers
- ISBN:0203491289, 9780203491287, 0203594290, 9780203594292, 9781420057294, 1420057294, 9781000228786, 1000228789
- oclc:ocm62751023
- LC Classification:QA279.5
- Dewey Decimal:519.5/42
Table of Contents
Fundamentals of Bayesian Inference. Background -- Single-parameter models -- Introduction to multiparameter model -- Large-sample inference and frequency properties of Bayesian inference -- Fundamentals of Bayesian Data Analysis. Hierarchical models -- Model checking and improvement -- Modeling accounting for data collection -- Connections and challenges -- General advice -- Advanced Computation. Overview of Computation -- Posterior simulation -- Approximations based on posterior modes -- Special topics in computation -- Regression Models. Introduction to regression models -- Hierarchical linear models -- Generalized linear models -- Models for robust inference -- Mixture models -- Multivariate models -- Nonlinear models -- Models for missing data -- Decision analysis.
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