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

Y Watamori; Peter Edmund Jupp

doi:10.1016/j.spl.2004.10.017

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

Y Watamori, Peter Edmund Jupp

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	93-102
Journal	Statistics and Probability Letters
Volume	72
Issue number	2
DOIs	https://doi.org/10.1016/j.spl.2004.10.017
Publication status	Published - 15 Apr 2005

Keywords

Bartlett correction
directional statistics
generalised Bartlett correction
Langevin distribution

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10.1016/j.spl.2004.10.017

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title = "Improved likelihood ratio and score tests on concentration parameters of von Mises-Fisher distributions",

abstract = "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.",

keywords = "Bartlett correction, directional statistics, generalised Bartlett correction, Langevin distribution",

author = "Y Watamori and Jupp, {Peter Edmund}",

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T1 - Improved likelihood ratio and score tests on concentration parameters of von Mises-Fisher distributions

AU - Watamori, Y

AU - Jupp, Peter Edmund

PY - 2005/4/15

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N2 - 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.

AB - 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.

KW - Bartlett correction

KW - directional statistics

KW - generalised Bartlett correction

KW - Langevin distribution

U2 - 10.1016/j.spl.2004.10.017

DO - 10.1016/j.spl.2004.10.017

M3 - Article

VL - 72

SP - 93

EP - 102

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 2

ER -

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

Abstract

Keywords

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