Approximation by normal distribution for a sample sum in sampling without replacement from a finite population
Statistics Theory
2013-12-12 v1 Statistics Theory
Abstract
A sum of observations derived by a simple random sampling design from a population of independent random variables is studied. A procedure finding a general term of Edgeworth asymptotic expansion is presented. The Lindeberg condition of asymptotic normality, Berry-Esseen bound, Edgeworth asymptotic expansions under weakened conditions and Cramer type large deviation results are derived.
Cite
@article{arxiv.1312.3256,
title = {Approximation by normal distribution for a sample sum in sampling without replacement from a finite population},
author = {Ibrahim Bin Mohamed and Sherzod M. Mirakhmedov},
journal= {arXiv preprint arXiv:1312.3256},
year = {2013}
}