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Estimations of competing lifetime data from inverse Weibull distribution under adaptive progressively hybrid censored
Faculty
Commerce
Year:
2022
Type of Publication:
ZU Hosted
Pages:
pages 6252-6275
Authors:
Wael Shehta Abu El Azm Mansour
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematical Biosciences and Engineering licensee AIMS Press
Volume:
Volume 19
Keywords :
Estimations , competing lifetime data from inverse
Abstract:
In real-life experiments, collecting complete data is time-, finance-, and resources-consuming as stated by statisticians and analysts. Their goal was to compromise between the total time of testing, the number of units under scrutiny, and the expenditures paid through a censoring scheme. Comparing failure-censored schemes (Type-Ⅱ and Progressive Type-Ⅱ) to Time-censored schemes (Type-Ⅰ), it's worth noting that the former is time-consuming and is no more suitable to be applied in real-life situations. This is the reason why the Type-Ⅰ adaptive progressive hybrid censoring scheme has exceeded other failure-censored types; Time-censored types enable analysts to accomplish their trials and experiments in a shorter time and with higher efficiency. In this paper, the parameters of the inverse Weibull distribution are estimated under the Type-Ⅰ adaptive progressive hybrid censoring scheme (Type-Ⅰ APHCS) based on competing risks data. The model parameters are estimated using maximum likelihood estimation and Bayesian estimation methods. Further, we examine the asymptotic confidence intervals and bootstrap confidence intervals for the unknown model parameters. Monte Carlo simulations are carried out to compare the performance of the suggested estimation methods under Type-Ⅰ APHCS. Moreover, Markov Chain Monte Carlo by applying Metropolis-Hasting algorithm under the square error of loss function is used to compute Bayes estimates and related to the highest posterior density. Finally, two data sets are studied to illustrate the introduced methods of inference. Based on our results, we can conclude that the Bayesian estimation outperforms the maximum likelihood estimation for estimating the inverse Weibull parameters under Type-Ⅰ APHCS.
Author Related Publications
Wael Shehta Abu El Azm Mansour, "The Sampling Distribution of the Maximum Likelihood Estimators for the Parameters of Beta-Binomial Distribution", International Mathematical Forum,, 2013
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Wael Shehta Abu El Azm Mansour, "Maximum likelihood estimation based on type-i hybrid progressive censored competing risks data", International Journal of Advanced Statistics and Probability,, 2016
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Wael Shehta Abu El Azm Mansour, "STATISTICAL ANALYSIS OF PROGRESSIVE HYBRID TYPE-II CENCORED COMPETING RISkS DATA", International Journal of Engineering and Applied Sciences, 2016
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Department Related Publications
Hatem Elsayed Abdelwahied Semary, "أثر زيادة تركيزات ملوثات الهواء فى المناطق الحضرية على صحة الأطفال", جامعة الدول العربية - مصر, 2015
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Hatem Elsayed Abdelwahied Semary, "الرضا الوظيفى لأعضاء هيئة التدريس والهيئة المعاونة والعاملين بكلية طب قصر العينى – جامعة القاهرة", جامعة القاهرة، مصر, 2016
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Mohamed Elsayed Ahmed Mead, "Generalized Inverse Gamma Distribution and its Application in Reliability", United States of America, 2015
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Mohamed Adel Tawfik Elshahat , "PARAMETERS ESTIMATION FOR THE RAYLEIGH DISTRIBUTION BASED ON A SIMPLE STEP-STRESSES MODEL WITH TYPE-II HYBRID CENSORED DATA", Published by European Centre for Research Training and Development UK (www.ea-journals.org), 2014
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Wael Shehta Abu El Azm Mansour, "STATISTICAL ANALYSIS OF PROGRESSIVE HYBRID TYPE-II CENCORED COMPETING RISkS DATA", International Journal of Engineering and Applied Sciences, 2016
More
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