Cramér-type large deviations for samples from a finite population

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

2007-08-14

arxiv.org/abs/0708.1880v1

Annals of Statistics 2007, Vol. 35, No. 2, 673-696

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/009053606000001343 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053606000001343

Cram\'{e}r-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. Cram\'{e}r-type large deviations for the finite population
Student $t$-statistic are also investigated.

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