E-Bayesian estimation for Burr-X distribution based on Type-II hybrid censoring scheme
by Abdalla Rabie; Junping Li
International Journal of Computing Science and Mathematics (IJCSM), Vol. 14, No. 3, 2021

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.

Online publication date: Thu, 23-Dec-2021

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