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Reliability assessment of two production lines using joint progressively type-II censored XLindley samples
Faculty
Technology and Development
Year:
2025
Type of Publication:
ZU Hosted
Pages:
Authors:
Ahmed Shahat Ibrahim Sayyed Hassan
Staff Zu Site
Abstract In Staff Site
Journal:
Scientific Reports Springer Nature
Volume:
Keywords :
Reliability assessment , , production lines using joint
Abstract:
Assessing the reliability of two production lines, whether individually or simultaneously, is of significant importance for improving manufacturing processes and guaranteeing superior product quality. This paper examines the reliability assessment of two production lines utilizing joint progressively Type-II censored samples derived from the XLindley distribution. In addition to estimating the unknown parameters, the reliability functions for each production line, as well as for both production lines simultaneously, are analyzed. Both classical likelihood-based and Bayesian methodologies are employed for estimation purposes. The maximum likelihood method is applied to obtain point estimates for the unknown parameters and reliability functions, while Bayesian analysis is performed under the squared error loss function, employing the Markov Chain Monte Carlo technique to generate samples from the posterior distribution. The approximate confidence intervals, percentile bootstrap confidence intervals, and the highest posterior density credible intervals for the unknown parameters and various reliability functions are discussed. The problem of selecting the optimal censoring plan is also considered. A comprehensive simulation study is conducted to assess the performance of the proposed methods, comparing the accuracy and efficiency of the estimates across different censoring schemes. Furthermore, the applicability of the proposed methodology is demonstrated through the analysis of two real-world data sets, underscoring its practical utility within the field of reliability. Finally, three criteria, namely A-optimality, D-optimality, and F-optimality, are considered to determine the optimal censoring plan.
Author Related Publications
Ahmed Shahat Ibrahim Sayyed Hassan, "Parameters Estimation for the Exponentiated Weibull Distribution Based on Generalized Progressive Hybrid Censoring Schemes", Science and Education Publishing, 2017
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Ahmed Shahat Ibrahim Sayyed Hassan, "Maximum likelihood estimation of the generalised Gompertz distribution under progressively first-failure censored sampling", South African, 2018
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Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences for Weibull lifetime model under progressively first-failure censored data with binomial random removals", Published online in International Academic, 2020
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Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences for generalized Topp-Leone distribution under dual generalized order statistics with applications to Engineering and COVID-19 data", IOS Press, 2021
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Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences and Optimal Censoring Schemes for Progressively First-Failure Censored Nadarajah-Haghighi Distribution", Springer, 2020
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Department Related Publications
Ahmed Abdelwahab Ahmed Eeid, "استخدام الشبكات العصبية الاحتمالية فى الدمج بين آليات الحوكمة والتنبؤ بالتعثر المالى فى سوق رأس المال المصرى (دراسة نظرية تطبيقية)", مجلة الدراسات والبحوث التجارية - كلية التجارة - جامعة بنها, 2015
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Ahmed Shahat Ibrahim Sayyed Hassan, "Bayesian Life Analysis of Generalized Chen's Population Under Progressive Censoring", Open Journal Systems, 2022
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Ahmed Shahat Ibrahim Sayyed Hassan, "Statistical Analysis of Improved Type-II Adaptive Progressive Hybrid Censored NH Data", Springer Nature, 2024
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Ahmed Shahat Ibrahim Sayyed Hassan, "Analysis of the new complementary unit Weibull model from adaptive progressively Type-II hybrid", AIP Publishing, 2024
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