On Admissibility and Uniform Admissibility in Finite Population Sampling
The Annals of Statistics · 1975 · Volume 3 · Issue 2
Abstract
Let $p_0$ be a given sampling design, and $p$ be any sampling design with support contained in that of $p_0$. It is shown that if an estimator, $e$, of some finite population quantity is admissible with respect to $p_0$ it is also admissible with respect to $p$. Similarly if the pair $(e, p_0)$ is uniformly admissible in the sense of Joshi (1966), then so is the pair $(e, p)$.
Keywords
62D05, 62D15, admissible estimators, finite population sampling, uniform admissibility
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