On Charlier polynomials in testing Poissonity

被引：3

作者：

Ledwinaa, Teresa ^{[1
]}

Wylupek, Grzegorz ^{[2
]}

机构：

[1] Polish Acad Sci, Inst Math, Wroclaw, Poland

[2] Univ Wroclaw, Inst Math, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2017年 / 46卷 / 03期

关键词：

Diagnostic test; Fisher's index of dispersion; Goodness of fit; Parametric bootstrap; Poisson distribution; Power comparison; Selection rule; Smooth test; GOODNESS-OF-FIT;

D O I：

10.1080/03610918.2015.1019000

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：

This article discusses applications of Charlier polynomials when checking how well classic Poisson model fits the data. We show that smooth components pertaining to the polynomials can be effectively used in preliminary analysis of data at hand and we propose and discuss some tests based on them. Our extensive simulations shed new light on power behavior of the best tests in the area.

引用

页码：1918 / 1932

页数：15

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