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.

DOI: https://doi.org/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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About

• Item ORO ID
• 60682
• Item Type
• Journal Item
• ISSN
• 1941-7330
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Not Set	Not Set	MRC (Medical Research Council)
  Not Set	Not Set	Royal Society Wolfson Research Merit Award

• Keywords
• current status data; frailty; gamma; generalized gamma; heterogeneity; infectious disease; shared frailty model; time-varying frailty
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2014 Institute of Mathematical Statistics
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• ORO Import