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...
| Main Authors: | , |
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| Format: | Article |
| Published: |
Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1871/ |
| _version_ | 1848809681205592064 |
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| author | Ahmad Mahir Razali, Ali A. Salih Alwakeel , |
| author_facet | Ahmad Mahir Razali, Ali A. Salih Alwakeel , |
| author_sort | Ahmad Mahir Razali, |
| 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 |
| first_indexed | 2025-11-14T23:18:28Z |
| format | Article |
| id | ukm-1871 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T23:18:28Z |
| publishDate | 2008 |
| publisher | Penerbit ukm |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| spellingShingle | Ahmad Mahir Razali, Ali A. Salih Alwakeel , Some properties of Bi-Weibull distributions |
| title | 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_short | Some properties of Bi-Weibull distributions |
| title_sort | some properties of bi-weibull distributions |
| url | http://journalarticle.ukm.my/1871/ http://journalarticle.ukm.my/1871/ |