Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study

Mathematics

卷:8

A.M. Abd El-Raheem¹  MarwaM. Mohie El-Din and E.H. Hafez ²  M. H. Abu-Moussa³ 

[1] Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11566, Egypt;

[2] Department of Mathematics, Faculty of Engineering, Egyptian Russian University, Cairo 11829, Egypt;

[3] Department of Mathematics, Faculty of Science, Cairo University, Giza 12511, Egypt;

关键词: progressive-stress;    progressive type-II censoring;    maximum likelihood estimation;    bayes estimation;    Tierney and Kadane approximation;    simulation study;   

DOI  :  10.3390/math8101786

来源: DOAJ

【 摘 要 】

In this article, a progressive-stress accelerated life test (ALT) that is based on progressive type-II censoring is studied. The cumulative exposure model is used when the lifetime of test units follows Pareto-IV distribution. Different estimates as the maximum likelihood estimates (MLEs) and Bayes estimates (BEs) for the model parameters are discussed. Bayesian estimates are derived while using the Tierney and Kadane (TK) approximation method and the importance sampling method. The asymptotic and bootstrap confidence intervals (CIs) of the parameters are constructed. A real data set is analyzed in order to clarify the methods proposed through this paper. Two types of the progressive-stress tests, the simple ramp-stress test and multiple ramp-stress test, are compared through the simulation study. Finally, some interesting conclusions are drawn.

【 授权许可】

Unknown