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Computational Analysis for Fréchet Parameters of Life from Generalized Type-II Progressive Hybrid Censored Data with Applications in Physics and Engineering
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:
Symmetry MDPI
Volume:
Keywords :
Computational Analysis , Fréchet Parameters , Life from
Abstract:
Generalized progressive hybrid censored procedures are created to reduce test time and expenses. This paper investigates the issue of estimating the model parameters, reliability, and hazard rate functions of the Fréchet (Fr) distribution under generalized Type-II progressive hybrid censoring by making use of the Bayesian estimation and maximum likelihood methods. The appropriate estimated confidence intervals of unknown quantities are likewise built using the frequentist estimators’ normal approximations. The Bayesian estimators are created using independent gamma conjugate priors under the symmetrical squared-error loss. The Bayesian estimators and the associated greatest posterior density intervals cannot be computed analytically since the joint likelihood function is obtained in complex form, but they may be assessed using Monte Carlo Markov chain (MCMC) techniques. Via extensive Monte Carlo simulations, the actual behavior of the proposed estimation methodologies is evaluated. Four optimality criteria are used to choose the best censoring scheme out of all the options. To demonstrate how the suggested approaches may be utilized in real scenarios, two real applications reflecting the thirty successive values of precipitation in Minneapolis–Saint Paul for the month of March as well as the number of vehicle fatalities for thirty-nine counties in South Carolina during 2012 are examined.
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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