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Reliability Analysis of HEE Parameters via Progressive Type-II Censoring with Applications

Computer Modeling in Engineering & Sciences 2023年第12期137卷 2761-2793页

作者： Heba S.Mohammed Mazen Nassar Refah Alotaibi Ahmed Elshahhat Department of Mathematical Sciences College of SciencePrincess Nourah bint Abdulrahman UniversityP.O.Box 84428Riyadh11671Saudi Arabia Department of Statistics Faculty of ScienceKing Abdulaziz UniversityJeddah21589Saudi Arabia Department of Statistics Faculty of CommerceZagazig UniversityZagazigEgypt Faculty of Technology and Development Zagazig UniversityZagazig44519Egypt

A new extended exponential lifetime model called Harris extended-exponential(HEE)distribution for data modelling with increasing and decreasing hazard rate shapes has been *** the reliability context,researchers prefer to use censoring plans to collect data in order to achieve a compromise between total test time and/or test sample ***,this study considers both maximum likelihood and Bayesian estimates of the Harris extended-exponential distribution parameters and some of its reliability indices using a progressive Type-II censoring *** the premise of independent gamma priors,the Bayesian estimation is created using the squared-error and general entropy loss *** to the challenging form of the joint posterior distribution,to evaluate the Bayes estimates,samples from the full conditional distributions are generated using Markov Chain monte carlo *** each unknown parameter,the highest posterior density credible intervals and asymptotic confidence intervals are also *** a simulated study,the usefulness of the various suggested strategies is *** optimal progressive censoring plans are also shown,and various optimality criteria are *** actual data sets,taken from engineering and veterinary medicine areas,are analyzed to show how the offered point and interval estimators can be used in practice and to verify that the proposed model furnishes a good fit than other lifetimemodels:alpha power exponential,generalized-exponential,Nadarajah-Haghighi,Weibull,Lomax,gamma and exponential *** evaluations revealed that in the presence of progressively Type-II censored data,the Bayes estimation method against the squared-error(symmetric)loss is advised for getting the point and interval estimates of the HEE distribution.

关键词： Harris extended-exponential model progressive Type-II censoring reliability maximum likelihood MCMC techniques monte carlo experiments

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