Inclusion of time-varying covariates in cure survival models with an application in fertility studies

Lambert, Philippe; Bremhorst, Vincent

doi:10.1111/rssa.12501

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Inclusion of time-varying covariates in cure survival models with an application in fertility studies

Lambert, Philippe; Bremhorst, Vincent

2020 • In Journal of the Royal Statistical Society. Series A, Statistics in Society, 183, p. 333-354

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https://hdl.handle.net/2268/241166

DOI
10.1111/rssa.12501

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Keywords :

Bayesian P-splines; Cure survival model; Fertility studies; Frailty; Promotion time model; Time-varying covariates

Abstract :

[en] Cure survival models are used when we desire to acknowledge explicitly that an unknown proportion of the population studied will never experience the event of interest. An extension of the promotion time cure model enabling the inclusion of time-varying covariates as regressors when modelling (simultaneously) the probability and the timing of the monitored event is presented. Our proposal enables us to handle non-monotone population hazard functions without a specific parametric assumption on the baseline hazard. This extension is motivated by and illustrated on data from the German Socio-Economic Panel by studying the transition to second and third births in West Germany.

Disciplines :

Mathematics

Author, co-author :

Lambert, Philippe ; Université de Liège - ULiège > Faculté des sciences sociales > Méthodes quantitatives en sciences sociales

Bremhorst, Vincent; Université catholique de Louvain, Louvain-la-Neuve, Belgium

Language :

English

Title :

Inclusion of time-varying covariates in cure survival models with an application in fertility studies

Publication date :

2020

Journal title :

Journal of the Royal Statistical Society. Series A, Statistics in Society

ISSN :

0964-1998

eISSN :

1467-985X

Publisher :

Blackwell Publishing Ltd

Volume :

183

Pages :

333-354

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://doi.org/10.1111/rssa.12501

Available on ORBi :

since 12 November 2019

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