Approximation by Normal Distribution for a Sample Sum in Sampling Without Replacement from a Finite Population

被引：0

作者：

Bin Mohamed, Ibrahim ^{[1
]}

Mirakhmedov, Sherzod M. ^{[2
]}

机构：

[1] Univ Malaya, Kuala Lumpur, Malaysia

[2] Inst Math, Tashkent, Uzbekistan

来源：

SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY | 2016年 / 78卷 / 02期

关键词：

Berry-Esseen bound; Edgeworth expansion; Lindeberg condition; Large deviation; Finite population; Sample sum; Sampling without replacement;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：188 / 220

页数：33