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Bayes and Empirical Bayes Methods for Data Analysis, Second Edition Bradley P. Carlin (University of Minnesota, Minneapolis, USA)

Bayes and Empirical Bayes Methods for Data Analysis, Second Edition By Bradley P. Carlin (University of Minnesota, Minneapolis, USA)

Bayes and Empirical Bayes Methods for Data Analysis, Second Edition by Bradley P. Carlin (University of Minnesota, Minneapolis, USA)


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Summary

A guide to Bayesian software that introduces Bayes and empirical Bayes methods, demonstrates their usefulness in applied settings, and shows how they can be implemented. It offers an introduction for those familiar with traditional frequentist statistical methods. It is suitable for those new to Bayes methods and seasoned practitioners.

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Bayes and Empirical Bayes Methods for Data Analysis, Second Edition Summary

Bayes and Empirical Bayes Methods for Data Analysis, Second Edition by Bradley P. Carlin (University of Minnesota, Minneapolis, USA)

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.

Table of Contents

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

Additional information

CIN1584881704G
9781584881704
1584881704
Bayes and Empirical Bayes Methods for Data Analysis, Second Edition by Bradley P. Carlin (University of Minnesota, Minneapolis, USA)
Used - Good
Hardback
Taylor & Francis Inc
20000622
440
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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