INVARIANT TESTS FOR UNIFORMITY ON THE VERTICES OF A REGULAR POLYGON

被引：2

作者：

WATSON, GS ^{[1
]}

机构：

[1] PRINCETON UNIV, PRINCETON, NJ 08544 USA

来源：

STATISTICS & PROBABILITY LETTERS | 1993年 / 17卷 / 01期

基金：

美国国家科学基金会;

关键词：

OPTIMAL INVARIANT TESTS; LOCAL AND DISTANT ALTERNATIVES; U-N(2);

D O I：

10.1016/0167-7152(93)90197-Q

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：

Beran (1968) and Watson (1974) indicated how to construct optimal invariant tests for local and distant alternatives for distributions on the vertices of regular polygons. Here we give the details of tests which are locally optimal against a linear trend, a single and a double peak in the alternative probabilities. These tests are useful for testing the equality of multinomial probabilities when the labels on the cells can be cyclically permuted without changing the problem e.g. the number of births in the 24 hours of the day since the time origin is biologically arbitrary.

引用

页码：67 / 71

页数：5

共 10 条

[1] TESTING FOR UNIFORMITY ON A COMPACT HOMOGENEOUS SPACE [J].