Cramér-type large deviations for samples from a finite population

Zhishui Hu, John Robinson, and Qiying Wang

Source: Ann. Statist. Volume 35, Number 2 (2007), 673-696.

Abstract

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.

Primary Subjects: 62E20

Secondary Subjects: 60F05

Keywords: Cramér large deviation; moderate deviation; finite population

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