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 IIt;BR>Nested Error Regression Models Hierarchical Bayes Estimation Introduction Stepwise Bayes Estimators Estimation of Stratum Means Auxiliary Information I Auxiliary Information II.