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TESTING EXPONENTIALITY AGAINST HNBUET CLASS BASED ON GOODNESS OF FITAPPROACH

Article

Last updated: 03 Jan 2025

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Subjects

-

Tags

Mathematics

Abstract

Based on goodness of fit approach a new test for testing exponentiality against harmonic new better than used in expectation upper tail (HNBUET) is proposed. The percentiles of this test are calculated and tabulated for sample size . For some commonly used life distributions in reliability such as linear failure rate, Makeham and Weibull distributions, the Pitman asymptotic efficiency (PAE) and the power of proposed test are calculated. Finally the proposed test is applied to two sets of real data.

DOI

10.21608/absb.2013.6580

Keywords

HNBUET, Classes of life distributions, test exponentiality, Goodness of fit, Pitman's asymptotic efficiency

Authors

First Name

M.A.W.

Last Name

MAHMOUD

MiddleName

-

Affiliation

Math. Department, Faculty of Science, Al-Azhar University Nasr-City, 11884. Egypt.

Email

-

City

-

Orcid

-

First Name

D. M.

Last Name

RADY

MiddleName

-

Affiliation

Math. Department, Faculty of Science, Minia University

Email

-

City

-

Orcid

-

Volume

24

Article Issue

Issue 1-B

Related Issue

1324

Issue Date

2013-06-01

Receive Date

2013-05-17

Publish Date

2013-06-01

Page Start

81

Page End

92

Print ISSN

1110-2535

Online ISSN

2636-3305

Article File

ABSB_Volume 24_Issue Issue 1-B_Pages 81-92.pdf

PDF . 15.5MB

Link

https://absb.journals.ekb.eg/article_6580.html

Detail API

https://absb.journals.ekb.eg/service?article_code=6580

Order

24

Type

Original Article

Type Code

520

Publication Type

Journal

Publication Title

Al-Azhar Bulletin of Science

Publication Link

https://absb.journals.ekb.eg/

MainTitle

TESTING EXPONENTIALITY AGAINST HNBUET CLASS BASED ON GOODNESS OF FITAPPROACH

Details

Type

Article

Created At

22 Jan 2023