English

Cram\'{e}r-type large deviations for samples from a finite population

Statistics Theory 2007-08-22 v1 Statistics Theory

Abstract

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 tt-statistic are also investigated.

Keywords

Cite

@article{arxiv.0708.1880,
  title  = {Cram\'{e}r-type large deviations for samples from a finite population},
  author = {Zhishui Hu and John Robinson and Qiying Wang},
  journal= {arXiv preprint arXiv:0708.1880},
  year   = {2007}
}

Comments

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

R2 v1 2026-06-21T09:07:22.011Z