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Inference and physics applications of the logistic-exponential parameters using adaptive progressively hybrid censoring
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:
Physica Scripta IOPscience
Volume:
Keywords :
Inference , physics applications , , logistic-exponential parameters using
Abstract:
To save test time and costs and to improve the efficiency of the experiments, an adaptive Type-II progressively hybrid censored technique has been developed. Besides two standard methods of parameter inference, namely, likelihood and product of spacing approaches, the Bayesian method is further used in this study to explore the issue of estimating model parameters, reliability, and hazard rate functions of the logistic-exponential distribution via the adaptive Type-II progressively hybrid censored mechanism. The relevant approximate confidence intervals for unknown parameters of life are also acquired using the normal approximations of the frequentist estimators. Under the squared error loss function, Bayesian estimators are obtained using independent gamma priors. Because of the complicated form of the posterior distributions, the Bayes estimators and associated credible intervals cannot be computed analytically, but they can be examined by employing Monte Carlo Markov Chain methodologies. The actual performance of the offered estimation procedures is examined using Monte Carlo simulations. Four optimality criteria are also utilized to select the optimum censoring scheme. Two physical applications are considered to show the operability and applicability of the various methods. The numerical findings show that our proposed methodologies perform well and demonstrate that the offered estimates are satisfactory in practice.
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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