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 $(e, p)$.
Citation
A. J. Scott. "On Admissibility and Uniform Admissibility in Finite Population Sampling." Ann. Statist. 3 (2) 489 - 491, March, 1975. https://doi.org/10.1214/aos/1176343077
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