Cramér-type large deviations for means of samples from a finite population are established under weak conditions. The results are comparable to results for the so-called self-normalized large deviation for independent random variables. Cramér-type large deviations for the finite population Student t-statistic are also investigated.
Publié le : 2007-04-14
Classification:
Cramér large deviation,
moderate deviation,
finite population,
62E20,
60F05
@article{1183667288,
author = {Hu, Zhishui and Robinson, John and Wang, Qiying},
title = {Cram\'er-type large deviations for samples from a finite population},
journal = {Ann. Statist.},
volume = {35},
number = {1},
year = {2007},
pages = { 673-696},
language = {en},
url = {http://dml.mathdoc.fr/item/1183667288}
}
Hu, Zhishui; Robinson, John; Wang, Qiying. Cramér-type large deviations for samples from a finite population. Ann. Statist., Tome 35 (2007) no. 1, pp. 673-696. http://gdmltest.u-ga.fr/item/1183667288/