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Abstract

ABSTRACT:

The paper shows that certain hierarchical Bayes (HB) predictors in general mixed linear models “universally” or “stochastically” dominate all linear unbiased predictors. Also, the HB predictors are the best within the class of all equivariant predictors under a certain group of transformations.

AMS 1980 Subject Classification: 62F15, 62F10.

Keywords

Hierarchical Bayes prediction universal domination small area estimation best equivariant estimation

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On the Frequentist Proper Ties of Some Hierarchical Bayes Predictors in Finite Populattion Sampling

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