313449

Estimation of the Generalized Exponential Distribution Parameters Under Constant-Stress Partially Accelerated Life Testing Using Type I Censoring

Article

Last updated: 04 May 2025

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Abstract

Testing the lifetime of items under normal use condition often requires a long period of time, particularly for a product having high reliability. To minimize the costs involved in testing without reducing the quality of the data obtained, the items run at higher than usual level of stresses to induce early failure. This article concerns with constant-stress partially accelerated life tests (CS-PALT) based on type I censoring in which each test item is observed until it fails before a predetermined time, keeping all the stress factors at constant level. The lifetime of items is assumed to follow generalized exponential distribution. Maximum likelihood method is used to estimate the model parameters and acceleration factor of lifetime distribution from the test data. Netwon Raphson method is applied to solve numerically the non-linear likelihood equations using Mathcad (2001). Confidence intervals of the estimators are constructing. In addition, an asymptotic variance and covariance matrix of the estimators is obtained. Simulation studies are carried out to investigate the performance of the estimators.

DOI

10.21608/esju.2007.313449

Keywords

Reliability, constant, Stress, partially accelerated life test, Accelerated Factor, Generalized Exponential Distribution

Authors

First Name

Amal

Last Name

Hassan

MiddleName

S.

Affiliation

Institute of Statistical Studies & Research, Cairo University

Email

dr.amalelmoslamy@gmail.com

City

-

Orcid

0000-0003-4442-8458

Volume

51

Article Issue

2

Related Issue

42973

Issue Date

2007-12-01

Publish Date

2007-12-01

Page Start

48

Page End

62

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313449.html

Detail API

http://journals.ekb.eg?_action=service&article_code=313449

Order

2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Estimation of the Generalized Exponential Distribution Parameters Under Constant-Stress Partially Accelerated Life Testing Using Type I Censoring

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Type

Article

Created At

28 Dec 2024