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Reliability Estimation of XLindley Constant-Stress Partially Accelerated Life Tests using Progressively Censored Samples
Faculty
Technology and Development
Year:
2023
Type of Publication:
ZU Hosted
Pages:
Authors:
Ahmed Shahat Ibrahim Sayyed Hassan
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematics MDPI
Volume:
Keywords :
Reliability Estimation , XLindley Constant-Stress Partially Accelerated
Abstract:
It often takes a lot of time to conduct life-testing studies on products or components. Units can be tested under more severe circumstances than usual, known as accelerated life tests, to reduce the testing period. This study’s goal is to look into certain estimation issues related to point and interval estimations for XLindley distribution under constant stress partially accelerated life tests with progressive Type-II censored samples. The maximum likelihood approach is utilized to acquire the point and interval estimates of the model parameters as well as the reliability function under normal use conditions. The Bayesian estimation method using the Monte Carlo Markov Chain procedure using the squared error loss function is also provided. Moreover, the Bayes credible intervals as well as the highest posterior density credible intervals of the different parameters are considered. To make comparisons between the proposed methods, a simulation study is conducted with various sample sizes and different censoring schemes. The usefulness of the suggested methodologies is then demonstrated by the analysis of two data sets. A summary of the major findings of the study can be found in the conclusion.
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 Shahat Ibrahim Sayyed Hassan, "Parameters Estimation for the Exponentiated Weibull Distribution Based on Generalized Progressive Hybrid Censoring Schemes", Science and Education Publishing, 2017
More
Ahmed Shahat Ibrahim Sayyed Hassan, "Maximum likelihood estimation of the generalised Gompertz distribution under progressively first-failure censored sampling", South African, 2018
More
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
More
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
More
Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences and Optimal Censoring Schemes for Progressively First-Failure Censored Nadarajah-Haghighi Distribution", Springer, 2020
More
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