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313780

Test for Exponential Better (Worse) than Used EBU (EWU) Life Distributions Based on the U-Test

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Last updated: 04 May 2025

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Abstract

The problem of testing exponentiality versus exponential better (worse) than used EBU (EWU) class of life distributions is considered through U-test. The percentiles of this test are tabulated for sample sizes n=5(1)50. The power estimates of the test are simulated for some commonly used distributions in reliability. Pitman's asymptotic efficiency of the test are calculated and compared.  an application of the proposed test statistic is given.
 

DOI

10.21608/esju.2003.313780

Keywords

EBU (EWU), Exponentiality, Efficiency - Asymptotic Normality

Authors

First Name

S.

Last Name

Abu-Youssef

MiddleName

E.

Affiliation

Dep.of Statistics and O.R., King Saud University, Saudi Arabia

Email

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Orcid

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First Name

E.

Last Name

Elsherpieny

MiddleName

A.

Affiliation

Institute of Statistical Studies & Research, Cairo University

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Orcid

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Volume

47

Article Issue

1

Related Issue

43022

Issue Date

2003-06-01

Publish Date

2003-06-01

Page Start

93

Page End

98

Print ISSN

0542-1748

Online ISSN

2786-0086

Article File

ESJU_Volume 47_Issue 1_Pages 93-98.pdf

PDF . 3.2MB

Link

https://esju.journals.ekb.eg/article_313780.html

Detail API

http://journals.ekb.eg?_action=service&article_code=313780

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7

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Test for Exponential Better (Worse) than Used EBU (EWU) Life Distributions Based on the U-Test

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Article

Created At

28 Dec 2024