A complete class result is obtained for double sample estimation of a binomial parameter. The complete class leads to some inadmissibility results for some procedures that are likely to be used in practice. It is also shown that the sample proportion as a true double estimator is not unbiased.
Publié le : 1984-09-14
Classification:
Double sample,
linear combination loss function,
vector loss function,
complete class,
admissibility,
unbiasedness,
62L12,
62C05
@article{1176346728,
author = {Cohen, Arthur and Sackrowitz, Harold B.},
title = {Results on Double Sample Estimation for the Binomial Distribution},
journal = {Ann. Statist.},
volume = {12},
number = {1},
year = {1984},
pages = { 1109-1116},
language = {en},
url = {http://dml.mathdoc.fr/item/1176346728}
}
Cohen, Arthur; Sackrowitz, Harold B. Results on Double Sample Estimation for the Binomial Distribution. Ann. Statist., Tome 12 (1984) no. 1, pp. 1109-1116. http://gdmltest.u-ga.fr/item/1176346728/