Proportional hazards models with discrete frailty


Caroni, Chrys, Crowder, Martin and Kimber, Alan (2009) Proportional hazards models with discrete frailty. Southampton, UK, University of Southampton, Statistical Sciences Research Institute, 18pp. (Methodology working papers, (M09/08) ). (Submitted)

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Description/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.

Item Type: Monograph (Working Paper)
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Keywords: reliability analysis, lifetime data, proportional hazards, frailty models, discrete distribution, limited failure model
Subjects: Q Science > QA Mathematics
H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 66092
Date Deposited: 28 Apr 2009
Last Modified: 27 Mar 2014 18:47
Publisher: University of Southampton, Statistical Sciences Research Institute
URI: http://eprints.soton.ac.uk/id/eprint/66092

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