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314645

Test for New Better than Used in Average Based on the Total Time on Test Transform.

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Last updated: 11 May 2025

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Abstract

Let  be a life distribution with survival function  and finite mean . The scaled total time on test transform is defined by . In this paper, the properties of  for new better than used in average (NBUA) or new worse than used in average (NWUA) are investigated. Test statistics for testing exponentiality against NBUA (NWUA) are proposed. Selected critical values are tabulated for sample size . Powers of the tests are estimated by simulation. An example of  patients of blood cancer disease demonstrate its practical application in medical Sciences.

DOI

10.21608/esju.1997.314645

Keywords

NBUA, NWUA, Total Time on Test, Exponential distribution, Life Distributions, Survival Functions, Order Statistics, TTT-test

Authors

First Name

M. I.

Last Name

Hendi

MiddleName

I.

Affiliation

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

Email

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City

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Orcid

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First Name

A.

Last Name

Al-Ruzaiza

MiddleName

S.

Affiliation

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

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City

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Orcid

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Volume

41

Article Issue

2

Related Issue

43146

Issue Date

1997-12-01

Publish Date

1997-12-01

Page Start

110

Page End

122

Print ISSN

0542-1748

Online ISSN

2786-0086

Article File

ESJU_Volume 41_Issue 2_Pages 110-122.pdf

PDF . 9.7MB

Link

https://esju.journals.ekb.eg/article_314645.html

Detail API

http://journals.ekb.eg?_action=service&article_code=314645

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

Test for New Better than Used in Average Based on the Total Time on Test Transform.

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Article

Created At

28 Dec 2024