Cramér-type large deviations for samples from a finite population

Zhishui Hu; John Robinson; Qiying Wang

doi:10.1214/009053606000001343

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arXiv · 0708.1880

Cramér-type large deviations for samples from a finite population

Zhishui Hu·John Robinson·Qiying Wang

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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.

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Zhishui Hu, John Robinson, Qiying Wang. 2007-08-14. Cramér-type large deviations for samples from a finite population. https://doi.org/10.1214/009053606000001343

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