313794

Testing the Equality of Coefficient of Variation in K Inverse Gaussian Populations

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Last updated: 04 May 2025

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Abstract

Three tests (likelihood ratio test, Wald test and Score test) are derived for the hypothesis that the coefficients of variation of k Inverse Gaussian populations are equal. The k samples may be of unequal size. The usual x²-approximation is used to investigate the behavior of the three tests under the null hypothesis and to compare the powers of these tests via a simulation study. Independent samples of equal and unequal size from the Inverse Gaussian distribution were used.
 

DOI

10.21608/esju.2002.313794

Keywords

Inverse Gaussian distribution, Likelihood ratio test, Score Test, Wald Test, X, approximation, Coefficient of variation, Simulation of Size, Simulation of Power

Authors

First Name

Amina

Last Name

Saleh

MiddleName

A.

Affiliation

Dep. of Applied Statistic & Econometric, Institute of Statistical Studies & Research, Cairo University

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Orcid

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First Name

Somia

Last Name

El-Attar

MiddleName

K.

Affiliation

Dep. of Applied Statistic & Econometric, Institute of Statistical Studies & Research, Cairo University

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Volume

46

Article Issue

2

Related Issue

43026

Issue Date

2002-12-01

Publish Date

2002-12-01

Page Start

129

Page End

144

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313794.html

Detail API

http://journals.ekb.eg?_action=service&article_code=313794

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2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Testing the Equality of Coefficient of Variation in K Inverse Gaussian Populations

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Article

Created At

28 Dec 2024