Abstract
In this paper, based on an adaptive Type-II progressive censoring scheme, estimation of flexible Weibull extension-Burr XII distribution is discussed. Maximum likelihood estimation and asymptotic confidence intervals of the unknown parameters are obtained. The adaptive Metropolis (AM) method is applied to carry out a Bayesian estimation procedure under symmetric and asymmetric loss functions and calculate the credible intervals. A simulation study is carried out to assess the performance of the estimators. Finally, a real life data set is used for illustration purpose.
Highlights
In life-testing experiments the failure time of any experimental unit may be attributable to more than one cause or risk factor
The major purpose of this paper is to develop statistical estimation, classical and Bayesian, for the parameters of FWBXII distribution by considering an adaptive Type-II progressive censoring scheme
Frequentist and Bayesian point and interval estimation methods were developed for the parameters of the FWBXII distribution under an adaptive Type-II progressive censoring scheme
Summary
In life-testing experiments the failure time of any experimental unit may be attributable to more than one cause or risk factor. (Kamal and Ismail, (2020)) proposed a new lifetime distribution, which is the additive model of flexible Weibull extension and Burr XII distributions (FWBXII distribution). This new model is very flexible since it has different shapes of failure rate, which are increasing, bathtub, modified bathtub and bi-bathtub shapes. The major purpose of this paper is to develop statistical estimation, classical and Bayesian, for the parameters of FWBXII distribution by considering an adaptive Type-II progressive censoring scheme. To the best of our knowledge, no previous work has been done regarding adaptive Type-II progressive censoring scheme in the case of competing risks models in which the different risk factors have different distributions.
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