Bayesian parameter and reliability estimate of Weibull failure time distribution

Bayes and frequentist estimators are obtained for the two-parameter Weibull failure time distribution with uncensored observations as well as the survival/reliability and hazard function. The Weibull distribution is used extensively in life testing and reliability/ survival analysis. The Bayes appro...

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Main Authors:	Guure, Chris Bambey, Ibrahim, Noor Akma, Adam, Mohd Bakri, Al Omari, Mohammed Ahmed, Bosomprah, Samuel
Format:	Article
Language:	English
Published:	Malaysian Mathematical Sciences Society and Universiti Sains Malaysia 2014
Online Access:	http://psasir.upm.edu.my/id/eprint/36623/ http://psasir.upm.edu.my/id/eprint/36623/ http://psasir.upm.edu.my/id/eprint/36623/1/Bayesian%20parameter%20and%20reliability%20estimate%20of%20Weibull%20failure%20time%20distribution.pdf

id	upm-36623
recordtype	eprints
spelling	upm-366232015-10-09T07:21:48Z http://psasir.upm.edu.my/id/eprint/36623/ Bayesian parameter and reliability estimate of Weibull failure time distribution Guure, Chris Bambey Ibrahim, Noor Akma Adam, Mohd Bakri Al Omari, Mohammed Ahmed Bosomprah, Samuel Bayes and frequentist estimators are obtained for the two-parameter Weibull failure time distribution with uncensored observations as well as the survival/reliability and hazard function. The Weibull distribution is used extensively in life testing and reliability/ survival analysis. The Bayes approach is obtained using Lindleys approximation technique with standard non-informative (vague) prior and a proposed generalisation of the noninformative prior. A simulation study is carried out to compare the performances of the methods. It is observed from the study that the unknown parameters, the reliability and hazard functions are best estimated by Bayes using linear exponential loss with the proposed prior followed by general entropy loss function. Malaysian Mathematical Sciences Society and Universiti Sains Malaysia 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36623/1/Bayesian%20parameter%20and%20reliability%20estimate%20of%20Weibull%20failure%20time%20distribution.pdf Guure, Chris Bambey and Ibrahim, Noor Akma and Adam, Mohd Bakri and Al Omari, Mohammed Ahmed and Bosomprah, Samuel (2014) Bayesian parameter and reliability estimate of Weibull failure time distribution. Bulletin of the Malaysian Mathematical Sciences Society, 37 (3). pp. 611-632. ISSN 0126-6705; ESSN: 2180-4206 http://www.emis.de/journals/BMMSS/vol37_3_1.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Putra Malaysia
building	UPM Institutional Repository
collection	Online Access
language	English
description	Bayes and frequentist estimators are obtained for the two-parameter Weibull failure time distribution with uncensored observations as well as the survival/reliability and hazard function. The Weibull distribution is used extensively in life testing and reliability/ survival analysis. The Bayes approach is obtained using Lindleys approximation technique with standard non-informative (vague) prior and a proposed generalisation of the noninformative prior. A simulation study is carried out to compare the performances of the methods. It is observed from the study that the unknown parameters, the reliability and hazard functions are best estimated by Bayes using linear exponential loss with the proposed prior followed by general entropy loss function.
format	Article
author	Guure, Chris Bambey Ibrahim, Noor Akma Adam, Mohd Bakri Al Omari, Mohammed Ahmed Bosomprah, Samuel
spellingShingle	Guure, Chris Bambey Ibrahim, Noor Akma Adam, Mohd Bakri Al Omari, Mohammed Ahmed Bosomprah, Samuel Bayesian parameter and reliability estimate of Weibull failure time distribution
author_facet	Guure, Chris Bambey Ibrahim, Noor Akma Adam, Mohd Bakri Al Omari, Mohammed Ahmed Bosomprah, Samuel
author_sort	Guure, Chris Bambey
title	Bayesian parameter and reliability estimate of Weibull failure time distribution
title_short	Bayesian parameter and reliability estimate of Weibull failure time distribution
title_full	Bayesian parameter and reliability estimate of Weibull failure time distribution
title_fullStr	Bayesian parameter and reliability estimate of Weibull failure time distribution
title_full_unstemmed	Bayesian parameter and reliability estimate of Weibull failure time distribution
title_sort	bayesian parameter and reliability estimate of weibull failure time distribution
publisher	Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
publishDate	2014
url	http://psasir.upm.edu.my/id/eprint/36623/ http://psasir.upm.edu.my/id/eprint/36623/ http://psasir.upm.edu.my/id/eprint/36623/1/Bayesian%20parameter%20and%20reliability%20estimate%20of%20Weibull%20failure%20time%20distribution.pdf
first_indexed	2018-09-07T16:32:28Z
last_indexed	2018-09-07T16:32:28Z
_version_	1610967100621324288

Bayesian parameter and reliability estimate of Weibull failure time distribution

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