Title: Estimation for the mixture of flexible Weibull extension and Burr XII distributions under adaptive Type-II progressive censoring scheme

Authors: Rania M. Kamal; Moshira A. Ismail

Addresses: Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza, Egypt ' Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza, Egypt

Abstract: In this paper, based on an adaptive Type-II progressive censoring scheme, estimation of the mixture of Burr XII and flexible Weibull extension distribution is discussed. Maximum likelihood estimation and asymptotic confidence intervals of the unknown parameters of the distribution are established. Using the Adaptive Metropolis (AM) method, we also carry out Bayesian estimation of the unknown parameters of the distribution under symmetric and asymmetric loss functions. To evaluate the performance of the estimates, a simulation study is carried out. Finally, a numerical example using a real-data set is analysed to illustrate the proposed estimation methods.

Keywords: mixture distribution; censoring; maximum likelihood estimation; Bayesian estimation; adaptive metropolis.

DOI: 10.1504/IJRS.2021.125755

International Journal of Reliability and Safety, 2021 Vol.15 No.4, pp.271 - 305

Received: 31 Jan 2021
Received in revised form: 07 Feb 2022
Accepted: 09 Feb 2022
Published online: 27 Sep 2022 *

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