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Reliability Analysis of Improved Type-II Adaptive Progressively Inverse XLindley Censored Data
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:
Axioms MDPI
Volume:
Keywords :
Reliability Analysis , Improved Type-II Adaptive Progressively
Abstract:
This study offers a newly improved Type-II adaptive progressive censoring with data sampled from an inverse XLindley (IXL) distribution for more efficient and adaptive reliability assessments. Through this sampling mechanism, we evaluate the parameters of the IXL distribution, as well as its reliability and hazard rate features. In the context of reliability, to handle flexible and time-constrained testing frameworks in high-reliability environments, we formulate maximum likelihood estimators versus Bayesian estimates derived via Markov chain Monte Carlo techniques under gamma priors, which effectively capture prior knowledge. Two patterns of asymptotic interval estimates are constructed through the normal approximation of the classical estimates and of the log-transformed classical estimates. On the other hand, from the Markovian chains, two patterns of credible interval estimates are also constructed. A robust simulation study is carried out to compare the classical and Bayesian point estimation methods, along with the four interval estimation methods. This study’s practical usefulness is demonstrated by its analysis of a real-world dataset. The results reveal that both conventional and Bayesian inferential methods function accurately, with the Bayesian outcomes surpassing those of the conventional method.
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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