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A time-varying shared frailty model with application to infectious diseases

Enki, Doyo G.; Noufaily, Angela and Farrington, C. Paddy (2014). A time-varying shared frailty model with application to infectious diseases. The Annals of Applied Statistics, 8(1) pp. 430–447.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1214/13-AOAS693
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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.

Item Type: Journal Item
Copyright Holders: 2014 Institute of Mathematical Statistics
ISSN: 1941-7330
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetMRC (Medical Research Council)
Not SetNot SetRoyal Society Wolfson Research Merit Award
Keywords: current status data; frailty; gamma; generalized gamma; heterogeneity; infectious disease; shared frailty model; time-varying frailty
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 60682
Depositing User: ORO Import
Date Deposited: 30 Apr 2019 10:50
Last Modified: 07 May 2019 17:00
URI: http://oro.open.ac.uk/id/eprint/60682
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