Multi-sample likelihood ratio tests based on bipolar Watson distributions defined on the hypersphere

被引：1

作者：

Figueiredo, Adelaide ^{[1
]}

机构：

[1] Univ Porto, LIACC, Fac Econ, P-4200464 Oporto, Portugal

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2007年 / 36卷 / 1-4期

关键词：

directional data; likelihood ratio tests; multi-sample tests; Watson distribution;

D O I：

10.1080/03610920601033991

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：

We derive likelihood ratio tests for the equality of the directional parameters of k bipolar Watson distributions defined on the hypersphere with common concentration parameter. We analyze the power of these tests in the case of two distributions supposing in the alternative hypothesis two directional parameters forming an angle, which varies from 18 degrees to 90 degrees. We also compare the likelihood ratio tests with a high-concentration F-test.

引用

页码：815 / 820

页数：6

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