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314651

Shock Models with NEXBRC Properties.

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Last updated: 11 May 2025

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Abstract

The new exponential better than renewal in convex (NEXBRC) class of life distributions, which is an intermediate class between HNBUE and GHN-BUE, and its dual class NEXWRC are studied. Relationships with other classes of life distributions are presented. A shock model in which shocks are arriving according to a nonhomogeneous Poisson process, is also studied. A shock model for NEXBRC (NEXWRC) based on probability generating function is also established. The Laplace transform characterization for this class is given.

DOI

10.21608/esju.1996.314651

Keywords

Laplace transform, Life Distributions, NEXBRC Class, Nonhomogeneous Poisson Process, Probability generating function, Shock Model

Authors

First Name

M.

Last Name

Hendi

MiddleName

I.

Affiliation

Dep. of Statistics, College of Science, King Saud University, Riyadh,Saudi Arabia

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Orcid

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First Name

H.

Last Name

Al-Nachawati

MiddleName

-

Affiliation

Dep. of Statistics, College of Science, King Saud University, Riyadh,Saudi Arabia

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Volume

40

Article Issue

1

Related Issue

43151

Issue Date

1996-06-01

Publish Date

1996-06-01

Page Start

1

Page End

14

Print ISSN

0542-1748

Online ISSN

2786-0086

Article File

ESJU_Volume 40_Issue 1_Pages 1-14.pdf

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Link

https://esju.journals.ekb.eg/article_314651.html

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http://journals.ekb.eg?_action=service&article_code=314651

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Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Shock Models with NEXBRC Properties.

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Article

Created At

28 Dec 2024