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Article

E-Bayesian Estimation for the Weibull Distribution under Adaptive Type-I Progressive Hybrid Censored Competing Risks Data

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Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo 11884, Egypt
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Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia
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Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
*
Author to whom correspondence should be addressed.
Received: 28 June 2020 / Revised: 13 August 2020 / Accepted: 13 August 2020 / Published: 17 August 2020
This article focuses on using E-Bayesian estimation for the Weibull distribution based on adaptive type-I progressive hybrid censored competing risks (AT-I PHCS). The case of Weibull distribution for the underlying lifetimes is considered assuming a cumulative exposure model. The E-Bayesian estimation is discussed by considering three different prior distributions for the hyper-parameters. The E-Bayesian estimators as well as the corresponding E-mean square errors are obtained by using squared and LINEX loss functions. Some properties of the E-Bayesian estimators are also derived. A simulation study to compare the various estimators and real data application is applied to show the applicability of the different estimators are proposed. View Full-Text
Keywords: adaptive type-I progressive hybrid censored; competing risks; cumulative exposure model; Bayesian estimation; E-Bayesian estimation; E-mean-square error adaptive type-I progressive hybrid censored; competing risks; cumulative exposure model; Bayesian estimation; E-Bayesian estimation; E-mean-square error
MDPI and ACS Style

Okasha, H.; Mustafa, A. E-Bayesian Estimation for the Weibull Distribution under Adaptive Type-I Progressive Hybrid Censored Competing Risks Data. Entropy 2020, 22, 903. https://0-doi-org.brum.beds.ac.uk/10.3390/e22080903

AMA Style

Okasha H, Mustafa A. E-Bayesian Estimation for the Weibull Distribution under Adaptive Type-I Progressive Hybrid Censored Competing Risks Data. Entropy. 2020; 22(8):903. https://0-doi-org.brum.beds.ac.uk/10.3390/e22080903

Chicago/Turabian Style

Okasha, Hassan, and Abdelfattah Mustafa. 2020. "E-Bayesian Estimation for the Weibull Distribution under Adaptive Type-I Progressive Hybrid Censored Competing Risks Data" Entropy 22, no. 8: 903. https://0-doi-org.brum.beds.ac.uk/10.3390/e22080903

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