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Proportional hazards models with discrete frailty

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 binomial, 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 illustrated on a previously published set of data on failures of printed circuit boards and on new data on breaking strengths of samples of cord.
reliability analysis, lifetime data, proportional hazards, frailty models, discrete distribution, limited failure model
1380-7870
374-384
Caroni, Chrys
3821d324-e2bd-4809-bd74-392da6954b29
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 (2010) Proportional hazards models with discrete frailty. Lifetime Data Analysis, 16 (3), 374-384. (doi:10.1007/s10985-010-9151-3). (PMID:20111904)

Record type: Article

Abstract

We extend proportional hazards frailty models for lifetime data to allow a negative binomial, 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 illustrated on a previously published set of data on failures of printed circuit boards and on new data on breaking strengths of samples of cord.

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More information

Published date: 28 January 2010
Keywords: reliability analysis, lifetime data, proportional hazards, frailty models, discrete distribution, limited failure model
Organisations: Southampton Statistical Research Inst.

Identifiers

Local EPrints ID: 152559
URI: https://eprints.soton.ac.uk/id/eprint/152559
ISSN: 1380-7870
PURE UUID: 6ae5b3ab-5bbe-4f16-9bc5-76c8767ee840

Catalogue record

Date deposited: 14 May 2010 15:17
Last modified: 18 Jul 2017 12:53

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