1st Edition

Bayesian Methods for Finite Population Sampling

By Malay Ghosh, Glen Meeden Copyright 1997
    300 Pages
    by Chapman & Hall

    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.

    Bayesian Foundations
    Notation
    Sufficiency
    The Sufficiency and Likelihood Principles
    A Bayesian Example
    Posterior Linearity
    Overview
    A Noninfromative Bayesian Approach
    A Binomial Example
    A Characterization of Admissibility
    Admissibility of the Sample Mean
    Set Estimation
    The Polya Urn
    The Polya Posterior
    Simulating the Polya Posterior
    Some Examples
    Extensions of the Polya Posterior
    Prior Information
    Using an Auxiliary Variable
    Stratification and Prior Information
    Choosing between Experiments
    Nonresponse
    Some Nonparametric Problems
    Linear Interpolation
    Empirical Bayes Estimation
    Introduction Stepwise Bayes Estimators
    Estimation of Stratum Means
    Robust Estimation of Stratum Means
    Multistage Sampling
    Auxiliary Information
    Nested Error Regression Models
    Hierarchical Bayes Estimation
    Introduction
    Stepwise Bayes Estimators
    Estimation of Stratum Means
    Auxiliary Information I
    Auxiliary Information II

    Biography

    Ghosh\, Malay; Meeden\, Glen