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313773

Goodness of Fit Approach for Testing Exponential Better than Used in Convex for Life Distributions

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Last updated: 05 Jan 2025

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Abstract

Test statistic is derived for testing exponentiality against exponential better (worse) than used in convex EBUC (EWUC). Selected critical values are tabulated for sample size n=5(1)25(5) 50. The power calculations of the test are simulated for some commonly used distributions in reliability. The Pitman asymptotic relative efficiency based on other classes are studied. An example of 40 patients of blood cancer disease demonstrates the practical application of the proposed test in medical sciences.  

DOI

10.21608/esju.2004.313773

Keywords

Asymptotic Normality - Asymptotic Efficiency Critical Values - Life Distribution Classes - Convex Ordering, EBUC, EWUC - Power of the Test - Product Limit Estimator - Goodness of Fit Test

Volume

48

Article Issue

2

Related Issue

42997

Issue Date

2004-12-01

Publish Date

2004-12-01

Page Start

167

Page End

175

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313773.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313773

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

Goodness of Fit Approach for Testing Exponential Better than Used in Convex for Life Distributions

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Article

Created At

28 Dec 2024