Two-dimensional discrete scan statistics

被引：35

作者：

Chen, J ^{[1
]}

Glaz, J ^{[1
]}

机构：

[1] UNIV CONNECTICUT,DEPT STAT,STORRS,CT 06269

来源：

STATISTICS & PROBABILITY LETTERS | 1996年 / 31卷 / 01期

关键词：

Bonferroni-type inequality; compound Poisson approximation; moving window detection; multiple scan statistic; Poisson approximations; product-type approximation; testing uniformity in two dimensions;

D O I：

10.1016/0167-7152(95)00014-3

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 investigates the accuracy of approximations for distributions of two-dimensional discrete scan statistics. A product-type approximation, a Bonferroni-type inequality, two Poisson approximations and a compound Poisson approximation are studied. A simulation study is presented to evaluate the accuracy of these approximations. Based on the numerical results it is evident that the standard Poisson approximation can be significantly improved.

引用

页码：59 / 68

页数：10

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