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
收藏
页码：59 / 68
页数：10
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