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Inference for inverse weibull competing risks data under adaptive progressive hybrid censored with engineering application

Author(s)
Samia A. Salem Department of Statistics & Insurance, Faculty of Commerce Zagazig University,Zagazig,Egypt
Osama E. Abo-Kasem Department of Statistics & Insurance, Faculty of Commerce Zagazig University,Zagazig,Egypt
Moshera A. Elassar Department of Statistics & Insurance, Faculty of Commerce Zagazig University,Zagazig,Egypt
Abstract
There are many situations in reliability or medical studies, where items may fail due to one of several causes. Further, censoring is unavoidable in any life testing. In this paper attempts to estimate problem for the competing risks model where the data are adaptive type-II progressive hybrid censored scheme and follow the inverse Weibull distribution. In this regards, we obtain the maximum likelihood estimation of the parameters and the asymptotic confidence intervals for the unknown parameters. Further, Bayes estimates of the parameters which obtained based on squared error and LINEX loss functions under the assumptions of independent gamma priors. For Bayesian estimation, we take advantage of Markov Chain Monte Carlo techniques by applying the Metropolis-Hasting algorithm under the square error and LINEX loss function to derive Bayesian estimators. Finally, two data sets with a Monte Carlo simulation study and a real data set of the electronic applications are analyzed for illustrative purposes.
Publication Details
Page(s) 125-174
DOI DOI not available
Published Journal: Pakistan Journal of Statistics, Volume: 39, Issue: 2, Year: 2023

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Keywords
maximum likelihood estimation, Bayesian estimation, Inverse Weibull distribution, Markov Chain Monte Carlo, Competing risks, Adaptive type-II progressive hybrid censored scheme, Squared error and LINEX loss functions.
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