Bayes and Equivariant Estimators of the Variance of a Finite Population
STANFORD UNIV CA DEPT OF STATISTICS
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The problem of estimating the variance of a finite population is studied in a Bayesian framework. On the basis of the modern theoretical approach to sampling from finite populations and the special structure of the likelihood functions Bayes estimators of the population variance are derived. The structure of equivariant estimators is analyzed and Bayes equivariant estimators in the strict and the generalized sense are derived. Posterior and prior efficiency of the estimators is discussed.
- Statistics and Probability