Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter

Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter

In this paper we assume that the life time of a test unit follows a log-logistic distribution with known scale parameter. Tables of optimum times of changing stress level for simple step-stress plans under a cumulative exposure model are obtained by minimizing the asymptotic variance of the maximum...

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Bibliographic Details
Main Authors: Abedel-Qader Al-Masri, Mohammed Al-Haj Ebrahem
Format: Article
Language:English
Published: Austrian Statistical Society 2016-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/260
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spelling doaj-26e1d20c86b247ccb740a2f84798ceeb2021-04-22T12:34:21ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2016-04-0138110.17713/ajs.v38i1.260Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale ParameterAbedel-Qader Al-Masri0Mohammed Al-Haj Ebrahem1Department of Statistics, Yarmouk University, Irbid-JordanDepartment of Statistics, Yarmouk University, Irbid-JordanIn this paper we assume that the life time of a test unit follows a log-logistic distribution with known scale parameter. Tables of optimum times of changing stress level for simple step-stress plans under a cumulative exposure model are obtained by minimizing the asymptotic variance of the maximum likelihood estimator of the model parameters at the design stress with respect to the change time.http://www.ajs.or.at/index.php/ajs/article/view/260
collection DOAJ
language English
format Article
sources DOAJ
author Abedel-Qader Al-Masri
Mohammed Al-Haj Ebrahem
spellingShingle Abedel-Qader Al-Masri
Mohammed Al-Haj Ebrahem
Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter
Austrian Journal of Statistics
author_facet Abedel-Qader Al-Masri
Mohammed Al-Haj Ebrahem
author_sort Abedel-Qader Al-Masri
title Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter
title_short Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter
title_full Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter
title_fullStr Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter
title_full_unstemmed Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter
title_sort optimum times for step-stress cumulative exposure model using log-logistic distribution with known scale parameter
publisher Austrian Statistical Society
series Austrian Journal of Statistics
issn 1026-597X
publishDate 2016-04-01
description In this paper we assume that the life time of a test unit follows a log-logistic distribution with known scale parameter. Tables of optimum times of changing stress level for simple step-stress plans under a cumulative exposure model are obtained by minimizing the asymptotic variance of the maximum likelihood estimator of the model parameters at the design stress with respect to the change time.
url http://www.ajs.or.at/index.php/ajs/article/view/260
work_keys_str_mv AT abedelqaderalmasri optimumtimesforstepstresscumulativeexposuremodelusingloglogisticdistributionwithknownscaleparameter
AT mohammedalhajebrahem optimumtimesforstepstresscumulativeexposuremodelusingloglogisticdistributionwithknownscaleparameter
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