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.

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)

References in corpus (2)

• Self-normalized processes: exponential inequalities, moment bounds and iterated logarithm laws
• Cramér-type large deviations for samples from a finite population

Cited by in corpus (1)

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