Characterizations of normal distributions and EDF goodness-of-fit tests

被引：4

作者：

Nguyen, TT ^{[1
]}

Dinh, KT

机构：

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

[2] US EPA, Washington, DC 20460 USA

来源：

METRIKA | 2003年 / 58卷 / 02期

关键词：

conditional density function; UMVUE of the density function; characteristic function;

D O I：

10.1007/s001840200233

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：

Two characterizations of a normal distribution with an unknown variance based on the corresponding UMVU estimators of the density functions are given, depending on whether its mean is known, or unknown. Applications of these characterization results in the procedures to construct empirical distribution function (EDF) goodness-of-fit tests for normal distributions are mentioned.

引用

页码：149 / 157

页数：9

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