Simple step-stress model for an extension of the exponential distribution with type-I censoring

Purpose – The purpose of this paper is to design a simple step-stress model under type-I censoring when the failure time has an extension of the exponential distribution. Design/methodology/approach – The scale parameter of the distribution is assumed to be a log-linear function of the stress and a...

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Published in:The International journal of quality & reliability management 2015-09, Vol.32 (8), p.906-920
Main Author: Haghighi, Firoozeh
Format: Article
Language:English
Subjects:
Accelerated life tests
Economic models
Expected values
Exposure
Failure
Failure times
Management
Management science & operations
Mathematical analysis
Mathematical models
Probability distribution functions
Product life cycle
Quality control & reliability
Quality management/systems
Reliability analysis
Scale (ratio)
Stress
Stress concentration
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cited_by cdi_FETCH-LOGICAL-c381t-181aa6d0f738721c8ed68dd1682e4c74ea4e8391386f60e01b265c6513491c273
cites cdi_FETCH-LOGICAL-c381t-181aa6d0f738721c8ed68dd1682e4c74ea4e8391386f60e01b265c6513491c273
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container_title The International journal of quality & reliability management
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creator Haghighi, Firoozeh
description Purpose – The purpose of this paper is to design a simple step-stress model under type-I censoring when the failure time has an extension of the exponential distribution. Design/methodology/approach – The scale parameter of the distribution is assumed to be a log-linear function of the stress and a cumulative exposure model is hold. The maximum likelihood estimates of the parameters, as well as the corresponding Fisher information matrix are derived. Two real examples are given to show the application of an extension of the exponential distribution in reliability studies and a numerical example is presented to illustrate the method discussed here. Findings – A simple step-stress test under cumulative exposure model and type-I censoring for an extension of the exponential distribution is presented. Originality/value – The work is original.
doi_str_mv 10.1108/IJQRM-05-2015-0081
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source ABI/INFORM Global; Emerald:Jisc Collections:Emerald Subject Collections HE and FE 2024-2026:Emerald Premier (reading list)
subjects Accelerated life tests
Economic models
Expected values
Exposure
Failure
Failure times
Management
Management science & operations
Mathematical analysis
Mathematical models
Probability distribution functions
Product life cycle
Quality control & reliability
Quality management/systems
Reliability analysis
Scale (ratio)
Stress
Stress concentration
title Simple step-stress model for an extension of the exponential distribution with type-I censoring
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