Point and Interval Estimation of Reliability and Entropy for Generalized Exponential Distribution under Generalized Type-II Hybrid Censoring Scheme
Ramses El-Saeed, A., D. Abdellatif, A. (2025). Point and Interval Estimation of Reliability and Entropy for Generalized Exponential Distribution under Generalized Type-II Hybrid Censoring Scheme. EKB Journal Management System, 4(1), 96-138. doi: 10.21608/cjmss.2024.327558.1078
Ahmed Ramses El-Saeed; Ashraf D. Abdellatif. "Point and Interval Estimation of Reliability and Entropy for Generalized Exponential Distribution under Generalized Type-II Hybrid Censoring Scheme". EKB Journal Management System, 4, 1, 2025, 96-138. doi: 10.21608/cjmss.2024.327558.1078
Ramses El-Saeed, A., D. Abdellatif, A. (2025). 'Point and Interval Estimation of Reliability and Entropy for Generalized Exponential Distribution under Generalized Type-II Hybrid Censoring Scheme', EKB Journal Management System, 4(1), pp. 96-138. doi: 10.21608/cjmss.2024.327558.1078
Ramses El-Saeed, A., D. Abdellatif, A. Point and Interval Estimation of Reliability and Entropy for Generalized Exponential Distribution under Generalized Type-II Hybrid Censoring Scheme. EKB Journal Management System, 2025; 4(1): 96-138. doi: 10.21608/cjmss.2024.327558.1078

Point and Interval Estimation of Reliability and Entropy for Generalized Exponential Distribution under Generalized Type-II Hybrid Censoring Scheme

Computational Journal of Mathematical and Statistical Sciences
Volume 4, Issue 1, April 2025, Page 96-138  XML PDF (1.11 MB)
Document Type: Original Article
DOI: 10.21608/cjmss.2024.327558.1078
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Authors
Ahmed Ramses El-Saeed email 1, 2; Ashraf D. Abdellatif3
1Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
2Department of Basic Sciences, Obour High Institute for Management & Informatics, Obour Higher Institute for Management and Information Technology, Al Qalyubia, Egypt
3Department of Technological Management and Information, Higher Technological Institute 10th of Ramadan, 10th of Ramadan, Egypt
Abstract
In this research paper, the estimation of reliability and entropy measures are analyzed within the context of a generalized Type-II hybrid censoring scheme (GT2HCS) The analysis is conducted while considering a generalized exponential distribution as the underlying lifetime distribution. The study specifically emphasizes the calculation of both Shannon and Renyi entropy measures. Maximum likelihood estimation is evaluated for estimating reliability and entropy measures, along with their asymptotic confidence intervals. Bayesian estimation techniques are also considered, utilizing gamma priors for unknown parameters under different loss function. Markov Chain Monte Carlo technique is employed using Metropolis-Hasting algorithm for obtaining Bayesian estimates. Furthermore, credible intervals are determined using the highest posterior density approach. Monte Carlo simulation study is conducted to assess the performance of the proposed estimators. Additionally, a real-life data set from an engineering application is analyzed to demonstrate the GT2HCS under different estimation methods proposed in the study.
Keywords
Generalized exponential distribution; Generalized Type-II hybrid censoring; Shannon and Rényi entropy; Reliability estimation; Bayesian estimation
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