Cramer-von Mises tests of fit for the Poisson distribution

被引：45

作者：

Spinelli, JJ

Stephens, MA

机构：

[1] ST PAULS HOSP,HLTH RES CTR,VANCOUVER,BC V6Z 1Y6,CANADA

[2] SIMON FRASER UNIV,DEPT MATH & STAT,BURNABY,BC V5A 1S6,CANADA

来源：

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 1997年 / 25卷 / 02期

关键词：

goodness of fit; Poisson distribution; Cramer-von Mises statistics;

D O I：

10.2307/3315735

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：

Goodness-of-fit tests based on the Cramer-von Mises statistics are given for the Poisson distribution. Power comparisons show that these statistics, particularly A(2), give good overall tests of fit. The statistic A(2) Will be particularly useful for detecting distributions where the variance is close to the mean, but which are not Poisson.

引用

页码：257 / 268

页数：12

共 18 条

[1]

BARTON DE, 1955, SKAND AKTUARIETIDSK, V39, P1

[2]

Bishop M.M., 1975, DISCRETE MULTIVARIAT

[3] CRAMER-VONMISES STATISTICS FOR DISCRETE-DISTRIBUTIONS [J].