Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme
Hegazy, M., EL-Helbawy, A., AL-Kashlan, A. (2023). Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme. EKB Journal Management System, 43(2), 223-252. doi: 10.21608/caf.2023.297558
Mai Ahmed Hegazy; Abeer abd_Alla EL-Helbawy; Ayat Gamal AL-Kashlan. "Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme". EKB Journal Management System, 43, 2, 2023, 223-252. doi: 10.21608/caf.2023.297558
Hegazy, M., EL-Helbawy, A., AL-Kashlan, A. (2023). 'Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme', EKB Journal Management System, 43(2), pp. 223-252. doi: 10.21608/caf.2023.297558
Hegazy, M., EL-Helbawy, A., AL-Kashlan, A. Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme. EKB Journal Management System, 2023; 43(2): 223-252. doi: 10.21608/caf.2023.297558

Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme

التجارة والتمويل
Article 18, Volume 43, Issue 2, June 2023, Page 223-252  XML PDF (1.74 MB)
Document Type: المقالة الأصلية
DOI: 10.21608/caf.2023.297558
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Authors
Mai Ahmed Hegazy1; Abeer abd_Alla EL-Helbawy2; Ayat Gamal AL-Kashlan1
1Faculty of Commerce, AL-Azhar University (Girls’ Branch), Tafahna Al-Ashraf, Egypt
2, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Cairo, Egypt
Abstract
This paper discussed the Bayesian estimation for the unknown parameters, survival, hazard rate, and alternative hazard rate functions of the discrete Zubair Weibull distribution. Informative priors (gamma and beta) for the parameters of the distribution are assumed. The Bayes estimators are derived under the squared error and linear-exponential loss functions based on Type-II censored sample. Credible intervals for the parameters, survival, hazard rate, and alternative hazard rate functions are obtained. The Bayes predictors (point and interval) for the future observation are obtained considering two-sample prediction. A simulation study is performed using the Markov Chain Monte Carlo algorithm for different sample sizes, and censoring rates to assess the performance of the estimators. Moreover, three real data sets were applied to investigate the flexibility and applicability of the distribution.
Keywords
Three-parameter discrete Zubair Weibull distribution; Type-II censoring; Bayes estimators; Squared-error loss function; Linear exponential loss function; Credible interval; Bayesian prediction; Monte Carlo simulation
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