Power of tests of uniformity defined on the hypersphere

被引：8

作者：

Figueiredo, A

Gomes, P

机构：

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

[2] Inst Nacl Estatist, Lisbon, Portugal

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2003年 / 32卷 / 01期

关键词：

Bingham distribution; directional data; selection of variables; tests of uniformity;

D O I：

10.1081/SAC-120013113

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：

In multivariate data with n individuals described by p variables it is usual to assume that the variables are fixed and the individuals are randomly selected; in the present study we assume that the individuals are fixed and the previously normalised variables are randomly selected from a population of variables. When we want to associate to the sample of variables a distribution, like the Bingham distribution, it is important to use beforehand a test of uniformity. In this article, we compare the power of Bingham and Gine tests of uniformity for some dimensions of the sphere, vs. a Bingham population or a mixture of Bingham populations.

引用

页码：87 / 94

页数：8

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