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

Ramses El-Saeed, Ahmed; D. Abdellatif, Ashraf

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

Document Type : Original Article

Authors

Ahmed Ramses El-Saeed ¹^{, 2}
Ashraf D. Abdellatif ³

¹ Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia

² Department of Basic Sciences, Obour High Institute for Management & Informatics, Obour Higher Institute for Management and Information Technology, Al Qalyubia, Egypt

³ Department of Technological Management and Information, Higher Technological Institute 10th of Ramadan, 10th of Ramadan, Egypt

10.21608/cjmss.2024.327558.1078

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