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A time-varying shared frailty model with application to infectious diseases
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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:10.1214/13-AOAS693 ISSN 1932-6157.
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Official URL: http://dx.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 UU, and is particularly convenient when UU 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 Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School > Health Sciences Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School > Health Sciences > Statistics and Epidemiology Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School |
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Journal or Publication Title: | The Annals of Applied Statistics | ||||
Publisher: | Institute of Mathematical Statistics | ||||
ISSN: | 1932-6157 | ||||
Official Date: | 2014 | ||||
Dates: |
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Volume: | 8 | ||||
Number: | 1 | ||||
Page Range: | pp. 430-447 | ||||
DOI: | 10.1214/13-AOAS693 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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