1. Inferences for Burr-X Model Based on Unified Hybrid Censored Data.
- Author
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Rabie, Abdalla and Li, Junping
- Subjects
- *
MONTE Carlo method , *CENSORING (Statistics) , *MARKOV chain Monte Carlo , *MAXIMUM likelihood statistics - Abstract
In this paper, Burr-X distribution with unified hybrid censored data is considered. The maximum likelihood method, the Bayesian and the E-Bayesian (the expectation of the Bayesian estimate) approaches are studied for the distribution parameter and the associated reliability function. The Bayesian and the E-Bayesian estimates are derived under LINEX and squared error loss (SEL) functions. We apply Markov chain Monte Carlo (MCMC) techniques to derive the Bayesian and the E-Bayesian estimates. Also, confidence intervals (CIs) of the maximum likelihood estimates, as well as credible intervals (CRIs) of the Bayesian and the E-Bayesian estimates, are computed. On the other hand, an example of a real data set is provided for the purpose of illustration. Finally, a numerical comparison among the proposed methods is performed. [ABSTRACT FROM AUTHOR]
- Published
- 2019