Approximate bayesian estimates of weibull parameters with Lindley’s method

One of the most important lifetime distributions that is used for modelling and analysing data in clinical, life sciences and engineering is the Weibull distribution. The main objective of this paper was to determine the best estimator for the two-parameter Weibull distribution. The methods under co...

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Main Authors:	Guure, Chris Bambey, Noor Akma Ibrahim
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2014
Online Access:	http://journalarticle.ukm.my/7684/ http://journalarticle.ukm.my/7684/ http://journalarticle.ukm.my/7684/1/19_Chris_Bambey.pdf

id	ukm-7684
recordtype	eprints
spelling	ukm-76842016-12-14T06:44:52Z http://journalarticle.ukm.my/7684/ Approximate bayesian estimates of weibull parameters with Lindley’s method Guure, Chris Bambey Noor Akma Ibrahim, One of the most important lifetime distributions that is used for modelling and analysing data in clinical, life sciences and engineering is the Weibull distribution. The main objective of this paper was to determine the best estimator for the two-parameter Weibull distribution. The methods under consideration are the frequentist maximum likelihood estimator, least square regression estimator and the Bayesian estimator by using two loss functions, which are squared error and linear exponential. Lindley approximation is used to obtain the Bayes estimates. Comparisons are made through simulation study to determine the performance of these methods. Based on the results obtained from this simulation study the Bayesian approach used in estimating the Weibull parameters under linear exponential loss function is found to be superior as compared to the conventional maximum likelihood and least squared methods. Universiti Kebangsaan Malaysia 2014-09 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7684/1/19_Chris_Bambey.pdf Guure, Chris Bambey and Noor Akma Ibrahim, (2014) Approximate bayesian estimates of weibull parameters with Lindley’s method. Sains Malaysiana, 43 (9). pp. 1433-1437. ISSN 0126-6039 http://www.ukm.my/jsm/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	One of the most important lifetime distributions that is used for modelling and analysing data in clinical, life sciences and engineering is the Weibull distribution. The main objective of this paper was to determine the best estimator for the two-parameter Weibull distribution. The methods under consideration are the frequentist maximum likelihood estimator, least square regression estimator and the Bayesian estimator by using two loss functions, which are squared error and linear exponential. Lindley approximation is used to obtain the Bayes estimates. Comparisons are made through simulation study to determine the performance of these methods. Based on the results obtained from this simulation study the Bayesian approach used in estimating the Weibull parameters under linear exponential loss function is found to be superior as compared to the conventional maximum likelihood and least squared methods.
format	Article
author	Guure, Chris Bambey Noor Akma Ibrahim,
spellingShingle	Guure, Chris Bambey Noor Akma Ibrahim, Approximate bayesian estimates of weibull parameters with Lindley’s method
author_facet	Guure, Chris Bambey Noor Akma Ibrahim,
author_sort	Guure, Chris Bambey
title	Approximate bayesian estimates of weibull parameters with Lindley’s method
title_short	Approximate bayesian estimates of weibull parameters with Lindley’s method
title_full	Approximate bayesian estimates of weibull parameters with Lindley’s method
title_fullStr	Approximate bayesian estimates of weibull parameters with Lindley’s method
title_full_unstemmed	Approximate bayesian estimates of weibull parameters with Lindley’s method
title_sort	approximate bayesian estimates of weibull parameters with lindley’s method
publisher	Universiti Kebangsaan Malaysia
publishDate	2014
url	http://journalarticle.ukm.my/7684/ http://journalarticle.ukm.my/7684/ http://journalarticle.ukm.my/7684/1/19_Chris_Bambey.pdf
first_indexed	2023-09-18T19:50:22Z
last_indexed	2023-09-18T19:50:22Z
_version_	1777406179165601792

Approximate bayesian estimates of weibull parameters with Lindley’s method

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