Statistical inference for the reliability of Burr-XII distribution under improved adaptive Type-II progressive censoring

2021 ◽  
Vol 95 ◽  
pp. 38-52
Author(s):  
Weian Yan ◽  
Piao Li ◽  
Yingxia Yu
Author(s):  
Rania M. Kamal ◽  
Moshira A. Ismail

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.


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