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313825

A Testing for New Renewal Better than Used Class of Survival Functions

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Last updated: 28 Dec 2024

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Abstract

A U-statistic is derived for testing exponentiality against new renewal better (worse) than used. For this class of life distributions, a nonparametric procedure (U-statistic) is presented in this investigation. Selected critical values are tabulated for sample size n = 5(1)39. The Pitman asymptotic efficiency relative to tests of other classes such as "decreasing mean residual life and new better than used in expectation" are discussed. Our procedure is simple to implement and is asymptotically normal both under the null hypothesis and alternative hypothesis with good efficiency against other procedures for some commonly used alternatives.  

DOI

10.21608/esju.2000.313825

Keywords

Efficiency, Exponentiality - Asymptotic Normality - U-Test - Class of Life Distributions - Pitman Asymptotic Efficiency

Volume

44

Article Issue

1

Related Issue

43031

Issue Date

2000-06-01

Publish Date

2000-06-01

Page Start

81

Page End

90

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313825.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313825

Order

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

A Testing for New Renewal Better than Used Class of Survival Functions

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Article

Created At

28 Dec 2024