Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Parametric inference on step-stress accelerated life testing for the extension of exponential distribution under progressive type-II censoring

  • El-Dina, M.M. Mohie (Department of Mathematics, Faculty of Science, Al-Azhar University) ;
  • Abu-Youssef, S.E. (Department of Mathematics, Faculty of Science, Al-Azhar University) ;
  • Ali, Nahed S.A. (Department of Mathematics, Faculty of Education, Ain Shams University) ;
  • Abd El-Raheem, A.M. (Department of Mathematics, Faculty of Education, Ain Shams University)
  • Received : 2016.06.25
  • Accepted : 2016.07.08
  • Published : 2016.07.31
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Abstract

In this paper, a simple step-stress accelerated life test (ALT) under progressive type-II censoring is considered. Progressive type-II censoring and accelerated life testing are provided to decrease the lifetime of testing and lower test expenses. The cumulative exposure model is assumed when the lifetime of test units follows an extension of the exponential distribution. Maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of the model parameters are also obtained. In addition, a real dataset is analyzed to illustrate the proposed procedures. Approximate, bootstrap and credible confidence intervals (CIs) of the estimators are then derived. Finally, the accuracy of the MLEs and BEs for the model parameters is investigated through simulation studies.

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References

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