Some properties of Bi-Weibull distributions

In reliability, a Bi-Weibull distribution can be represented by a combination of two decreasing, constant or increasing failure rate functions. Several versions of Bi-Weibull distributions can be found but these versions differ in the way in which the two Weibull distributions were combined and i...

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Main Authors:	Ahmad Mahir Razali, Ali A. Salih Alwakeel
Format:	Article
Published:	Penerbit ukm 2008
Online Access:	http://journalarticle.ukm.my/1871/ http://journalarticle.ukm.my/1871/

id	ukm-1871
recordtype	eprints
spelling	ukm-18712011-06-15T08:04:35Z http://journalarticle.ukm.my/1871/ Some properties of Bi-Weibull distributions Ahmad Mahir Razali, Ali A. Salih Alwakeel , In reliability, a Bi-Weibull distribution can be represented by a combination of two decreasing, constant or increasing failure rate functions. Several versions of Bi-Weibull distributions can be found but these versions differ in the way in which the two Weibull distributions were combined and in the number of parameters specified. In this paper we determine the Bi-Weibull distribution from a combination of two Weibull distributions each having 2 or 3-parameters. We also determine the probability density, cumulative distribution, survival and hazard functions of the 4, 5, and 6-parameter Bi-Weibull distributions. The result is that by increasing the number of parameters would give the distribution more flexibility. An application of the 4-parameter Bi-Weibull distribution is also included using real data Penerbit ukm 2008-07 Article PeerReviewed Ahmad Mahir Razali, and Ali A. Salih Alwakeel , (2008) Some properties of Bi-Weibull distributions. Journal of Quality Measurement and Analysis, 4 (1). pp. 243-250. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
description	In reliability, a Bi-Weibull distribution can be represented by a combination of two decreasing, constant or increasing failure rate functions. Several versions of Bi-Weibull distributions can be found but these versions differ in the way in which the two Weibull distributions were combined and in the number of parameters specified. In this paper we determine the Bi-Weibull distribution from a combination of two Weibull distributions each having 2 or 3-parameters. We also determine the probability density, cumulative distribution, survival and hazard functions of the 4, 5, and 6-parameter Bi-Weibull distributions. The result is that by increasing the number of parameters would give the distribution more flexibility. An application of the 4-parameter Bi-Weibull distribution is also included using real data
format	Article
author	Ahmad Mahir Razali, Ali A. Salih Alwakeel ,
spellingShingle	Ahmad Mahir Razali, Ali A. Salih Alwakeel , Some properties of Bi-Weibull distributions
author_facet	Ahmad Mahir Razali, Ali A. Salih Alwakeel ,
author_sort	Ahmad Mahir Razali,
title	Some properties of Bi-Weibull distributions
title_short	Some properties of Bi-Weibull distributions
title_full	Some properties of Bi-Weibull distributions
title_fullStr	Some properties of Bi-Weibull distributions
title_full_unstemmed	Some properties of Bi-Weibull distributions
title_sort	some properties of bi-weibull distributions
publisher	Penerbit ukm
publishDate	2008
url	http://journalarticle.ukm.my/1871/ http://journalarticle.ukm.my/1871/
first_indexed	2023-09-18T19:34:33Z
last_indexed	2023-09-18T19:34:33Z
_version_	1777405183581487104

Some properties of Bi-Weibull distributions

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