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March 2014 A time-varying shared frailty model with application to infectious diseases
Doyo G. Enki, Angela Noufaily, C. Paddy Farrington
Ann. Appl. Stat. 8(1): 430-447 (March 2014). DOI: 10.1214/13-AOAS693

Abstract

We propose a new parametric time-varying shared frailty model to represent changes over time in population heterogeneity, for use with bivariate current status data. The model uses a power transformation of a time-invariant frailty $U$, and is particularly convenient when $U$ is a member of the generalized gamma family. This model avoids some shortcomings of a previously suggested time-varying frailty model, notably time-dependent support. We describe some key properties of the model, including its relative frailty variance function in different settings and how the model can be fitted to data. We describe several applications to shared frailty modeling of bivariate current status data on infectious diseases, in which the frailty represents age-dependent heterogeneity in contact rates or susceptibility to infection.

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Doyo G. Enki. Angela Noufaily. C. Paddy Farrington. "A time-varying shared frailty model with application to infectious diseases." Ann. Appl. Stat. 8 (1) 430 - 447, March 2014. https://doi.org/10.1214/13-AOAS693

Information

Published: March 2014
First available in Project Euclid: 8 April 2014

zbMATH: 06302242
MathSciNet: MR3191997
Digital Object Identifier: 10.1214/13-AOAS693

Keywords: Current status data , frailty , gamma , generalized gamma , Heterogeneity , infectious disease , shared frailty model , time-varying frailty

Rights: Copyright © 2014 Institute of Mathematical Statistics

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Vol.8 • No. 1 • March 2014
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