Authors: Abdalla Rabie; Junping Li
Addresses: School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China; Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt ' School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China
Abstract: In this paper, Burr-X distribution with Type-II hybrid censored data is considered. The E-Bayesian estimation (the expectation of the Bayesian estimate) and the corresponding Bayesian and maximum likelihood estimation methods are studied for the distribution parameter and the reliability function. Bayesian and E-Bayesian estimates are obtained under LINEX and squared error loss functions. By applying the Markov chain Monte Carlo techniques, Bayesian and E-Bayesian estimates are obtained. Also, confidence intervals of maximum likelihood estimates, as well as credible intervals of Bayesian and E-Bayesian estimates, are constructed. Furthermore, a numerical example of a real-life dataset is provided for the purpose of illustration. Finally, a comparison among the E-Bayesian, the Bayesian and the maximum likelihood methods is presented.
Keywords: Bayesian estimation; E-Bayesian estimation; maximum likelihood estimation; hybrid censoring scheme; confidence interval; credible interval; MCMC method.
International Journal of Computing Science and Mathematics, 2021 Vol.14 No.3, pp.233 - 248
Received: 21 Feb 2019
Accepted: 04 Apr 2019
Published online: 23 Dec 2021 *