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Admissible Estimators for the Total of a Stratified Population that Employ Prior Information

Admissible Estimators for the Total of a Stratified Population that Employ Prior Information

We consider the problem of the estimation of the total of a stratified finite population. For two levels of prior knowledge about the stratification, we provide Bayes and pseudo-Bayes estimators that make use of this prior knowledge in sensible ways. We then note that admissibility results can be established for …