We consider some estimators of the total and variance of a finite population from Bayesian and pseudo-Bayesian perspectives. Recently, Meeden and Ghosh (1982a, 1982b) have provided quite simple but powerful tools for proving admissibility of estimators and estimator-design pairs is finite population sampling problems. We consider what these techniques yield in the way of admissibility results for the estimators discussed.
Bibliographical noteFunding Information:
author’s research was supported by NSF Grant Number MCS-8005485.
- Basu estimator
- Difference estimator
- Dirichlet process
- Finite population sampling
- Uniform admissibility