Classical and Bayesian inference on progressive‐stress accelerated life testing for the extension of the exponential distribution under progressive type‐II censoring

In this paper, a progressive‐stress accelerated life test under progressive type‐II censoring is considered. The cumulative exposure model is assumed when the lifetime of test units follows an extension of the exponential distribution. The maximum likelihood and Bayes estimates of the model paramete...

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Bibliographic Details
Published in:Quality and reliability engineering international 2017-12, Vol.33 (8), p.2483-2496
Main Authors: Mohie El‐Din, M.M., Abu‐Youssef, S.E., Ali, Nahid S.A., Abd El‐Raheem, A.M.
Format: Article
Language:English
Subjects:
Accelerated life tests
Accelerated tests
Bayes estimation
Bayesian analysis
Computer simulation
Confidence intervals
Maximum likelihood estimates
Parameter estimation
Probability distribution functions
progressive type‐II censoring
progressive‐stress
simulation study
Statistical inference
Stress concentration
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Summary:In this paper, a progressive‐stress accelerated life test under progressive type‐II censoring is considered. The cumulative exposure model is assumed when the lifetime of test units follows an extension of the exponential distribution. The maximum likelihood and Bayes estimates of the model parameters are obtained. The approximate and credible confidence intervals of the estimators are derived. Furthermore, a real lifetime data set is analyzed to illustrate the proposed procedures. Finally, the simulation studies are used to compare between 2 different designs of the progressive‐stress test (simple and multiple ramp‐stress tests).
ISSN:0748-8017
1099-1638
DOI:10.1002/qre.2212