Proportional hazards models with discrete frailty |
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| Authors: | Chrys Caroni Martin Crowder Alan Kimber |
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| Institution: | (1) Department of Population, Family and Reproductive Health, Bloomberg School of Public Health, Johns Hopkins University, Baltimore, MD, USA;(2) Department of Biostatistics, School of Medicine, Virginia Commonwealth University, Richmond, VA, USA;(3) Department of Biostatistics, Bloomberg School of Public Health, Johns Hopkins University, Baltimore, MD, USA;(4) Department of International Health, Bloomberg School of Public Health, Johns Hopkins University, Baltimore, MD, USA |
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| 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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