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313812

Estimation for the Parameters of Log-Logistic Distribution and the Reliability Function Using Accelerated Life Testing with Type-II Censoring

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Last updated: 28 Dec 2024

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Abstract

In this paper, we assume that the time to failure has Log-Logistic Distribution (LLD) with two unknown parameters, whose shape parameter is affected by a certain stress through the power rule model. Maximum likelihood estimates for the unknown parameters of the power rule model and the scale parameter of LLD are obtained using type-II censored data. The Newton-Raphson method is used for solving the non-linear normal equations, we estimate the reliability function under normal conditions where the experiments are subjected to type-II censored, a numerical example is given to illustrate the theoretical results.  

DOI

10.21608/esju.2001.313812

Keywords

Accelerated life tests, Power Rule Model, log, Logistic Distribution, Maximum likelihood estimation

Volume

45

Article Issue

2

Related Issue

43029

Issue Date

2001-12-01

Publish Date

2001-12-01

Page Start

163

Page End

171

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313812.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313812

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4

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Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Estimation for the Parameters of Log-Logistic Distribution and the Reliability Function Using Accelerated Life Testing with Type-II Censoring

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Article

Created At

28 Dec 2024