313811

Testing Whether a Survival Function Is New Better than Used of a Specified Age

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Last updated: 27 Apr 2025

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Abstract

A survival variable is a nonnegative random variable X with distribution function F and a survival function F=1-F. This variable is said to be new better than used of a specified age t0 if
F (x+t0) ≤ F (x) F (t0) for all x≥0 and a fixed t0. This is a large and practical class of life distributions. Its properties, applicability, and testing were discussed by Hollander, Park and Proschan (1986), (HPP). In the current investigation, it is demonstrated that a goodness of fit approach is possible to carry out this testing problem and that it results in simpler and asymptotically equivalent procedure to the HPP test.
 

DOI

10.21608/esju.2001.313811

Keywords

New Better Than Used at Specified Age, Life Distributions, Goodness of fit, hypothesis testing, asymptotic normality

Authors

First Name

Ibrahim

Last Name

Awasel

MiddleName

A.

Affiliation

Department of Statistics & O.R King Saud University - Saudi Arabia

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Orcid

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First Name

Ahmed

Last Name

El-Bassiouny

MiddleName

H.

Affiliation

Department of Statistics & O.R King Saud University - Saudi Arabia

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City

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Orcid

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Volume

45

Article Issue

2

Related Issue

43029

Issue Date

2001-12-01

Publish Date

2001-12-01

Page Start

155

Page End

162

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313811.html

Detail API

http://journals.ekb.eg?_action=service&article_code=313811

Order

3

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 Whether a Survival Function Is New Better than Used of a Specified Age

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Article

Created At

28 Dec 2024