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The relative frailty variance and shared frailty models

Farrington, Paddy; Unkel, Steffen and Anaya-Izquierdo, Karim (2012). The relative frailty variance and shared frailty models. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 74(4) pp. 673–696.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1111/j.1467-9868.2011.01021.x
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Abstract

The relative frailty variance among survivors provides a readily interpretable measure of how the heterogeneity of a population, as represented by a frailty model, evolves over time. We discuss the properties of the relative frailty variance, show that it characterizes frailty distributions, and that, suitably rescaled, it may be used to compare patterns of dependence across models and data sets. In shared frailty models, the relative frailty variance is closely related to the cross-ratio function, which is estimable from bivariate survival data. We investigate the possible shapes of the relative frailty variance function for the purpose of model selection, and review available frailty distribution families in this context. We introduce several new families with contrasting properties, including simple but flexible time-varying frailty models. The benefits of the approach we propose are illustrated with two applications to bivariate current status data obtained from serological surveys.

Item Type: Journal Article
Copyright Holders: 2012 Royal Statistical Society
ISSN: 1467-9868
Keywords: cross-ratio function; cure model; current status data; frailty; heterogeneity; relative frailty variance; shared frailty model; survival data; time-varying frailty
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
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Item ID: 30436
Depositing User: Paddy Farrington
Date Deposited: 25 Jan 2012 16:28
Last Modified: 03 Dec 2012 12:09
URI: http://oro.open.ac.uk/id/eprint/30436
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