## The Annals of Statistics

### Cramér-type large deviations for samples from a finite population

#### 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.

#### Article information

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

Dates
First available in Project Euclid: 5 July 2007

https://projecteuclid.org/euclid.aos/1183667288

Digital Object Identifier
doi:10.1214/009053606000001343

Mathematical Reviews number (MathSciNet)
MR2336863

Zentralblatt MATH identifier
1272.68116

Subjects
Primary: 62E20: Asymptotic distribution theory
Secondary: 60F05: Central limit and other weak theorems

#### Citation

Hu, Zhishui; Robinson, John; Wang, Qiying. Cramér-type large deviations for samples from a finite population. Ann. Statist. 35 (2007), no. 2, 673--696. doi:10.1214/009053606000001343. https://projecteuclid.org/euclid.aos/1183667288

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