ABSTRACT

Assuming a basic knowledge of the frequentist approach to finite population sampling, Bayesian Methods for Finite Population Sampling describes Bayesian and predictive approaches to inferential problems with an emphasis on the likelihood principle. The authors demonstrate that a variety of levels of prior information can be used in survey sampling in a Bayesian manner. Situations considered range from a noninformative Bayesian justification of standard frequentist methods when the only prior information available is the belief in the exchangeability of the units to a full-fledged Bayesian model. Intended primarily for graduate students and researchers in finite population sampling, this book will also be of interest to statisticians who use sampling and lecturers and researchers in general statistics and biostatistics.

chapter Chapter 1|19 pages

Bayesian foundations

chapter Chapter 2|40 pages

A noninformative Bayesian approach

chapter Chapter 3|99 pages

Extensions of the Polya posterior

chapter Chapter 4|60 pages

Empirical Bayes estimation

chapter Chapter 5|53 pages

Hierarchical Bayes estimation