Accession Number:

ADA025624

Title:

A Bayesian Approach to Two-Stage Sampling.

Descriptive Note:

Final rept. 1 May 72-1 Jan 76,

Corporate Author:

MICHIGAN UNIV ANN ARBOR DEPT OF STATISTICS

Personal Author(s):

Report Date:

1976-02-01

Pagination or Media Count:

32.0

Abstract:

In several previous papers, the author has shown that various standard sampling designs are optimal in a Bayesian sense under corresponding classes of prior distributions on the N-dimensional vector of unknown characteristics of the N elements of a finite population. In this manner a Bayesian interpretation of simple random sampling, stratified random sampling, and of various ratio and regression estimators have been given. In the present report this work is extended to two-stage balanced sampling. Additionally, a simple result on a representation of finitely exchangeable discrete random variables is given which gives a slight generalization of a seemingly little-known result of de Finetti. Also a general tie between Bayes posterior means and traditional WLSEs and BLUEs is obtained, generalizing previous results given by the author. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE