Bayes and Empirical Bayes Methods for Data Analysis - Rilegato

Carlin, Bradley P.; Louis, Thomas A.

Rilegato

ISBN 10: 1584881704 ISBN 13: 9781584881704

Casa editrice: Chapman and Hall/CRC, 2000

Riassunto

In recent years, Bayes and empirical Bayes (EB) methods have continued to increase in popularity and impact. Building on the first edition of their popular text, Carlin and Louis introduce these methods, demonstrate their usefulness in challenging applied settings, and show how they can be implemented using modern Markov chain Monte Carlo (MCMC) methods. Their presentation is accessible to those new to Bayes and empirical Bayes methods, while providing in-depth coverage valuable to seasoned practitioners. With its broad appeal as a text for those in biomedical science, education, social science, agriculture, and engineering, this second edition offers a relatively gentle and comprehensive introduction for students and practitioners already familiar with more traditional frequentist statistical methods. Focusing on practical tools for data analysis, the book shows how properly structured Bayes and EB procedures typically have good frequentist and Bayesian performance, both in theory and in practice.

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Contenuti

APPROACHES FOR STATISTICAL INFERENCE
Introduction
Motivating Vignettes
Defining the approaches
The Bayes-Frequentist Controversy
Some Basic Bayesian Models
THE BAYES APPROACH
Introduction
Prior Distributions
Bayesian Inference
Model Assessment
THE EMPIRICAL BAYES APPROACH
Introduction
Nonparametric EB (NPEB) Point Estimation
Parametric EB (PEB) Point Estimation
Computation via the EM Algorithm
Interval Estimation
Generalization to Regression Structures
PERFORMANCE OF BAYES PROCEDURES
Bayesian Processing
Frequentist Performance: Point Estimates
Frequentist Performance: Confidence Intervals
Empirical Bayes Performance
Design of Experiments
BAYESIAN COMPUTATION
Introduction
Asymptotic Methods
Noniterative Monte Carlo Methods
Markov Chain Monte Carlo Methods
MODEL CRITICISM AND SELECTION
Bayesian Robustness
Model Assessment
Bayes Factors via Marginal Density Estimation
Bayes Factors via Sampling over the Model Space
Other Model Selection Methods
SPECIAL METHODS AND MODELS
Estimating Histograms and Ranks
Order Restricted Inference
Nonlinear Models
Longitudinal Data Models
Continuous and Categorical Time Series
Survival Analysis and Frailty Models
Sequential Analysis
Spatial and Spatio-Temporal Models
CASE STUDIES
Analysis of Longitudinal AIDS Data
Robust Analysis of Clinical Trials
Spatio-Temporal Mapping of Lung Cancer Rates
APPENDICES
A Distributional Catalog
Decision Theory
Software Guide

Product Description

Book by Carlin Bradley P Louis Thomas A Carlin Bradley

Dettagli dell'edizione

• Editore: Chapman and Hall/CRC
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 1584881704
• ISBN 13: 9781584881704
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 440
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile