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Keywords = doubly truncated Zubair-Weibull distribution

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22 pages, 327 KB  
Article
Bayesian Analysis of the Doubly Truncated Zubair-Weibull Distribution: Parameter Estimation, Reliability, Hazard Rate and Prediction
by Zakiah I. Kalantan, Mai A. Hegazy, Abeer A. EL-Helbawy, Hebatalla H. Mohammad, Doaa S. A. Soliman, Gannat R. AL-Dayian and Mervat K. Abd Elaal
Axioms 2025, 14(7), 502; https://doi.org/10.3390/axioms14070502 - 26 Jun 2025
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Abstract
This paper discusses the Bayesian estimation for the unknown parameters, reliability and hazard rate functions of the doubly truncated Zubair-Weibull distribution. Informative priors (gamma distribution) for the parameters are used to obtain the posterior distributions. Under the squared-error and linear–exponential loss functions, the [...] Read more.
This paper discusses the Bayesian estimation for the unknown parameters, reliability and hazard rate functions of the doubly truncated Zubair-Weibull distribution. Informative priors (gamma distribution) for the parameters are used to obtain the posterior distributions. Under the squared-error and linear–exponential loss functions, the Bayes estimators are derived. Credible intervals for the parameters, reliability and hazard rate functions are obtained. Bayesian prediction (point and interval) for the future observation is considered under the two-sample prediction scheme. A simulation study is performed using the Markov Chain Monte Carlo algorithm of simulation for different sample sizes to assess the performance of the estimators. Two real datasets are applied to show the flexibility and applicability of the distribution. Full article
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