On Admissibility and Uniform Admissibility in Finite Population Sampling
Scott, A. J.
Ann. Statist., Tome 3 (1975) no. 1, p. 489-491 / Harvested from Project Euclid
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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 $(e, p)$.
Publié le : 1975-03-14
Classification:  Finite population sampling,  admissible estimators,  uniform admissibility,  62D05,  62D15 
@article{1176343077,
     author = {Scott, A. J.},
     title = {On Admissibility and Uniform Admissibility in Finite Population Sampling},
     journal = {Ann. Statist.},
     volume = {3},
     number = {1},
     year = {1975},
     pages = { 489-491},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176343077}
}

Scott, A. J. On Admissibility and Uniform Admissibility in Finite Population Sampling. Ann. Statist., Tome 3 (1975) no. 1, pp.  489-491. http://gdmltest.u-ga.fr/item/1176343077/