Bayesian Analysis of the Doubly Truncated Zubair-Weibull Distribution: Parameter Estimation, Reliability, Hazard Rate and Prediction

Bayesian Analysis of the Doubly Truncated Zubair-Weibull Distribution: Parameter Estimation, Reliability, Hazard Rate and Prediction

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 l...

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Bibliographic Details
Main Authors: Zakiah I. Kalantan, Mai A. Hegazy, Abeer A. EL-Helbawy, Hebatalla H. Mohammad, Doaa S. A. Soliman, Gannat R. AL-Dayian, Mervat K. Abd Elaal
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Axioms
Subjects:
doubly truncated Zubair-Weibull distribution
Bayes estimators
squared-error loss function
linear–exponential loss function
credible interval
Bayesian prediction
Online Access:https://www.mdpi.com/2075-1680/14/7/502
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Summary: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.
ISSN:2075-1680

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