Proportional hazards models with discrete frailty
Proportional hazards models with discrete frailty
We extend proportional hazards frailty models for lifetime data to allow a negative bi-nomial, Poisson, Geometric or other discrete distribution of the frailty variable. This might represent, for example, the unknown number of flaws in an item under test. Zero frailty corresponds to a limited failure model containing a proportion of units that never fail (long- term survivors). Ways of modifying the model to avoid this are discussed. The models are
applied to a previously published set of data on failures of printed circuit boards and to new data on breaking strengths of samples of cord.
reliability analysis, lifetime data, proportional hazards, frailty models, discrete distribution, limited failure model
Southampton Statistical Sciences Research Institute, University of Southampton
Caroni, Chrys
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Crowder, Martin
a41759df-31a6-4aba-bc0c-e6b90564cae0
Kimber, Alan
40ba3a19-bbe3-47b6-9a8d-68ebf4cea774
Caroni, Chrys
3821d324-e2bd-4809-bd74-392da6954b29
Crowder, Martin
a41759df-31a6-4aba-bc0c-e6b90564cae0
Kimber, Alan
40ba3a19-bbe3-47b6-9a8d-68ebf4cea774
Caroni, Chrys, Crowder, Martin and Kimber, Alan
(2009)
Proportional hazards models with discrete frailty
(Methodology working papers, M09/08)
Southampton, UK.
Southampton Statistical Sciences Research Institute, University of Southampton
18pp.
(Submitted)
Record type:
Monograph
(Working Paper)
Abstract
We extend proportional hazards frailty models for lifetime data to allow a negative bi-nomial, Poisson, Geometric or other discrete distribution of the frailty variable. This might represent, for example, the unknown number of flaws in an item under test. Zero frailty corresponds to a limited failure model containing a proportion of units that never fail (long- term survivors). Ways of modifying the model to avoid this are discussed. The models are
applied to a previously published set of data on failures of printed circuit boards and to new data on breaking strengths of samples of cord.
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66092-01.pdf
- Author's Original
More information
Submitted date: 27 April 2009
Keywords:
reliability analysis, lifetime data, proportional hazards, frailty models, discrete distribution, limited failure model
Identifiers
Local EPrints ID: 66092
URI: http://eprints.soton.ac.uk/id/eprint/66092
PURE UUID: 0fb0f0f9-5298-4ba6-ad58-04c3b700a2a5
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Date deposited: 28 Apr 2009
Last modified: 13 Mar 2024 18:09
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Contributors
Author:
Chrys Caroni
Author:
Martin Crowder
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