Bayesian survival estimator for Weibull distribution with censored data.

As the most useful distribution for modeling and analyzing life time data in the medical, paramedical and applied sciences among others, Weibull distribution stands out. Nowadays great attention has been given to Bayesian approach and is in contention with other estimation methods. This study explor...

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Main Authors:	Mohammed Ahmed, Al Omari, Ibrahim, Noor Akma
Format:	Article
Language:	English English
Published:	Asian Network for Scientific Information 2011
Online Access:	http://psasir.upm.edu.my/id/eprint/24944/ http://psasir.upm.edu.my/id/eprint/24944/ http://psasir.upm.edu.my/id/eprint/24944/ http://psasir.upm.edu.my/id/eprint/24944/1/Bayesian%20survival%20estimator%20for%20Weibull%20distribution%20with%20censored%20data.pdf

id	upm-24944
recordtype	eprints
spelling	upm-249442015-10-16T08:05:59Z http://psasir.upm.edu.my/id/eprint/24944/ Bayesian survival estimator for Weibull distribution with censored data. Mohammed Ahmed, Al Omari Ibrahim, Noor Akma As the most useful distribution for modeling and analyzing life time data in the medical, paramedical and applied sciences among others, Weibull distribution stands out. Nowadays great attention has been given to Bayesian approach and is in contention with other estimation methods. This study explores and compares the performance of Maximum Likelihood and Bayesian using Jeffrey prior and the extension of Jeffrey prior information for estimating the survival function of Weibull distribution with right censored data. On the performance of these estimators with respect to the mean square error and mean percentage error, comparisons are made through simulation study. For all the varying sample size, several specific values of the scale parameter of the Weibull distribution and for the values given for the extension of Jeffrey prior, the estimate of survival function of maximum likelihood is the best compared to the others when the value of extension of Jeffrey prior is 0.4. But then, extension of Jeffrey prior result is the best compared to others when the value of extension of Jeffrey is 1.4. © 2011 Asian Network for Scientific Information. Asian Network for Scientific Information 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24944/1/Bayesian%20survival%20estimator%20for%20Weibull%20distribution%20with%20censored%20data.pdf Mohammed Ahmed, Al Omari and Ibrahim, Noor Akma (2011) Bayesian survival estimator for Weibull distribution with censored data. Journal of Applied Sciences, 11 (2). pp. 393-396. ISSN 1812-5654; ESSN:1812-5662 http://www.ansinet.com/ 10.3923/jas.2011.393.396 English
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Putra Malaysia
building	UPM Institutional Repository
collection	Online Access
language	English English
description	As the most useful distribution for modeling and analyzing life time data in the medical, paramedical and applied sciences among others, Weibull distribution stands out. Nowadays great attention has been given to Bayesian approach and is in contention with other estimation methods. This study explores and compares the performance of Maximum Likelihood and Bayesian using Jeffrey prior and the extension of Jeffrey prior information for estimating the survival function of Weibull distribution with right censored data. On the performance of these estimators with respect to the mean square error and mean percentage error, comparisons are made through simulation study. For all the varying sample size, several specific values of the scale parameter of the Weibull distribution and for the values given for the extension of Jeffrey prior, the estimate of survival function of maximum likelihood is the best compared to the others when the value of extension of Jeffrey prior is 0.4. But then, extension of Jeffrey prior result is the best compared to others when the value of extension of Jeffrey is 1.4. © 2011 Asian Network for Scientific Information.
format	Article
author	Mohammed Ahmed, Al Omari Ibrahim, Noor Akma
spellingShingle	Mohammed Ahmed, Al Omari Ibrahim, Noor Akma Bayesian survival estimator for Weibull distribution with censored data.
author_facet	Mohammed Ahmed, Al Omari Ibrahim, Noor Akma
author_sort	Mohammed Ahmed, Al Omari
title	Bayesian survival estimator for Weibull distribution with censored data.
title_short	Bayesian survival estimator for Weibull distribution with censored data.
title_full	Bayesian survival estimator for Weibull distribution with censored data.
title_fullStr	Bayesian survival estimator for Weibull distribution with censored data.
title_full_unstemmed	Bayesian survival estimator for Weibull distribution with censored data.
title_sort	bayesian survival estimator for weibull distribution with censored data.
publisher	Asian Network for Scientific Information
publishDate	2011
url	http://psasir.upm.edu.my/id/eprint/24944/ http://psasir.upm.edu.my/id/eprint/24944/ http://psasir.upm.edu.my/id/eprint/24944/ http://psasir.upm.edu.my/id/eprint/24944/1/Bayesian%20survival%20estimator%20for%20Weibull%20distribution%20with%20censored%20data.pdf
first_indexed	2018-09-07T14:53:07Z
last_indexed	2018-09-07T14:53:07Z
_version_	1610960850464538624

Bayesian survival estimator for Weibull distribution with censored data.

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