{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T10:40:55Z","timestamp":1776681655023,"version":"3.51.2"},"reference-count":32,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2023,2,27]],"date-time":"2023-02-27T00:00:00Z","timestamp":1677456000000},"content-version":"vor","delay-in-days":2029,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"funder":[{"name":"Research Fund of Hasselt University","award":["BOF11NI31"],"award-info":[{"award-number":["BOF11NI31"]}]},{"DOI":"10.13039\/100004319","name":"Pfizer","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100004319","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100004330","name":"GlaxoSmithKline","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100004330","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010663","name":"European Research Council","doi-asserted-by":"publisher","award":["682540\u2014TransMID"],"award-info":[{"award-number":["682540\u2014TransMID"]}],"id":[{"id":"10.13039\/100010663","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Research Foundation\u2014Flanders"},{"name":"Flemish Government\u2014Department Economy, Science and Innovation"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018,4,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>Frailty models are often used in survival analysis to model multivariate time-to-event data. In infectious disease epidemiology, frailty models have been proposed to model heterogeneity in the acquisition of infection and to accommodate association in the occurrence of multiple types of infection. Although traditional frailty models rely on the assumption of lifelong immunity after recovery, refinements have been made to account for reinfections with the same pathogen. Recently, Abrams and Hens quantified the effect of misspecifying the underlying infection process on the basic and effective reproduction number in the context of bivariate current status data on parvovirus B19 and varicella zoster virus. Furthermore, Farrington, Unkel and their co-workers introduced and applied time varying shared frailty models to paired bivariate serological data. In this paper, we consider an extension of the proposed frailty methodology by Abrams and Hens to account for age-dependence in individual heterogeneity through the use of age-dependent shared and correlated gamma frailty models. The methodology is illustrated by using two data applications.<\/jats:p>","DOI":"10.1111\/rssc.12236","type":"journal-article","created":{"date-parts":[[2017,8,8]],"date-time":"2017-08-08T11:22:50Z","timestamp":1502191370000},"page":"687-704","source":"Crossref","is-referenced-by-count":4,"title":["Modelling Time Varying Heterogeneity in Recurrent Infection Processes: An Application to Serological Data"],"prefix":"10.1093","volume":"67","author":[{"given":"Steven","family":"Abrams","sequence":"first","affiliation":[{"name":"Hasselt University , Diepenbeek , Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andreas","family":"Wienke","sequence":"additional","affiliation":[{"name":"Martin Luther University Halle-Wittenberg , Halle , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Niel","family":"Hens","sequence":"additional","affiliation":[{"name":"Hasselt University , Diepenbeek , and , Wilrijk , Belgium"},{"name":"University of Antwerp , Diepenbeek , and , Wilrijk , Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2017,8,8]]},"reference":[{"key":"2023022704504256100_","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-68560-1","volume-title":"Survival and Event History Analysis: a Process Point of View","author":"Aalen","year":"2008"},{"key":"2023022704504256100_","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1093\/biostatistics\/kxu031","article-title":"Modeling individual heterogeneity in the acquisition of recurrent infections: an application to parvovirus B19","volume":"16","author":"Abrams","year":"2015","journal-title":"Biostatistics"},{"key":"2023022704504256100_","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1191\/0962280202SM276ra","article-title":"Multi-state models for event history analysis","volume":"11","author":"Andersen","year":"2002","journal-title":"Statist. 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