Premium
Classical and Bayesian inference on progressive‐stress accelerated life testing for the extension of the exponential distribution under progressive type‐II censoring
Author(s) -
Mohie ElDin M.M.,
AbuYoussef S.E.,
Ali Nahid S.A.,
Abd ElRaheem A.M.
Publication year - 2017
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2212
Subject(s) - censoring (clinical trials) , accelerated life testing , exponential distribution , statistics , mathematics , bayes' theorem , estimator , extension (predicate logic) , bayesian probability , computer science , weibull distribution , programming language
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).