When samples are taken independently from different populations, the sample means are jointly admissible for the population means with the squared error as loss function. The result supplements a previous result that when there are many variate values associated with the population units, the sample means of the variate values are jointly admissible for the population means for general loss functions.
Publié le : 1979-09-14
Classification:
Joint admissibility of the sample means,
squared error loss function,
inadmissibility,
multivariate normal population,
62D05
@article{1176344783,
author = {Joshi, V. M.},
title = {Joint Admissibility of the Sample Means as Estimators of the Means of Finite Populations},
journal = {Ann. Statist.},
volume = {7},
number = {1},
year = {1979},
pages = { 995-1002},
language = {en},
url = {http://dml.mathdoc.fr/item/1176344783}
}
Joshi, V. M. Joint Admissibility of the Sample Means as Estimators of the Means of Finite Populations. Ann. Statist., Tome 7 (1979) no. 1, pp. 995-1002. http://gdmltest.u-ga.fr/item/1176344783/