Description
Bayesian Missing Data Problems
EM, Data Augmentation and Noniterative Computation
Authors: Tan Ming T., Tian Guo-Liang, Ng Kai Wang
Language: EnglishSubject for Bayesian Missing Data Problems:
Keywords
Conditional Predictive Distribution; Missing Data; Em Algorithm; Complete Data Posterior Distribution; Posterior Distribution; Gibbs Sampler; Posterior Densities; Conditional Expectations; Bayes Factor; Importance Sampling; Observed Data Yobs; EM-type Algorithm; ECM Algorithm; Mm Algorithm; DA Algorithm; IBF; Zip Distribution; Ascent Property; Posterior Mode; Observed Data Likelihood Function; Importance Sampling Estimator; MCMC Method; Missing Data Mechanism; RR Model; Posterior Samples
135.96 €
Subject to availability at the publisher.
Add to cart the print on demand of Tan Ming T., Tian Guo-Liang, Ng Kai WangPublication date: 09-2009
Support: Print on demand
77.28 €
In Print (Delivery period: 14 days).
Add to cart the book of Tan Ming T., Tian Guo-Liang, Ng Kai WangPublication date: 11-2019
· 15.6x23.4 cm · Paperback
Description
/li>Contents
/li>Readership
/li>Biography
/li>
Bayesian Missing Data Problems: EM, Data Augmentation and Noniterative Computation presents solutions to missing data problems through explicit or noniterative sampling calculation of Bayesian posteriors. The methods are based on the inverse Bayes formulae discovered by one of the author in 1995. Applying the Bayesian approach to important real-world problems, the authors focus on exact numerical solutions, a conditional sampling approach via data augmentation, and a noniterative sampling approach via EM-type algorithms.
After introducing the missing data problems, Bayesian approach, and posterior computation, the book succinctly describes EM-type algorithms, Monte Carlo simulation, numerical techniques, and optimization methods. It then gives exact posterior solutions for problems, such as nonresponses in surveys and cross-over trials with missing values. It also provides noniterative posterior sampling solutions for problems, such as contingency tables with supplemental margins, aggregated responses in surveys, zero-inflated Poisson, capture-recapture models, mixed effects models, right-censored regression model, and constrained parameter models. The text concludes with a discussion on compatibility, a fundamental issue in Bayesian inference.
This book offers a unified treatment of an array of statistical problems that involve missing data and constrained parameters. It shows how Bayesian procedures can be useful in solving these problems.
Introduction. Optimization, Monte Carlo Simulation and Numerical Integration. Exact Solutions. Discrete Missing Data Problems. Computing Posteriors in the EM-Type Structures. Constrained Parameter Problems. Checking Compatibility and Uniqueness. Appendix. References. Indices.
Ming T. Tan is Professor of Biostatistics in the Department of Epidemiology and Preventive Medicine at the University of Maryland School of Medicine and Director of the Division of Biostatistics at the University of Maryland Greenebaum Cancer Center.
Guo-Liang Tian is Associate Professor in the Department of Statistics and Actuarial Science at the University of Hong Kong.
Kai Wang Ng is Professor and Head of the Department of Statistics and Actuarial Science at the University of Hong Kong.