Improved likelihood ratio and score tests on concentration parameters of von Mises-Fisher distributions

被引：8

作者：

Watamori, Y

Jupp, PE ^{[1
]}

机构：

[1] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland

[2] Osaka Womens Univ, Dept Math Appl, Sakai, Osaka 590, Japan

来源：

STATISTICS & PROBABILITY LETTERS | 2005年 / 72卷 / 02期

关键词：

Bartlett correction; directional statistics; generalised Bartlett correction; Langevin distribution;

D O I：

10.1016/j.spl.2004.10.017

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：

Explicit expressions are given for the likelihood-ratio and quadratic score statistics for standard hypotheses on concentrations of von Mises-Fisher distributions. Bartlett corrections of the former and higher-order approximations to the null distributions of the latter are provided. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：93 / 102

页数：10

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