Approximation by normal distribution for a sample sum in sampling without replacement from a finite population

2013/12/11 by Ibrahim Bin Mohamed, Mohamed, Ibrahim Bin, Sherzod M. Mirakhmedov +1
Mathematics · #60F05 #62G20 #FOS: Mathematics #Statistics Theory (math.ST) #math.ST #msc:60F05 #msc:62G20 #stat.TH

paper · pdf · doi:10.48550/arxiv.1312.3256

arxiv created 2013/12/11 · arxiv updated 2013/12/12

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.

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