Article (Scientific journals)
Nonparametric double additive cure survival models: An application to the estimation of the non-linear effect of age at first parenthood on fertility progression
Bremhorst, V.; Kreyenfeld, M.; Lambert, Philippe
2019In Statistical Modelling, 19 (3), p. 248-275
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Keywords :
Bayesian P-splines; Births; Cure survival models; Continuous covariates; Double additive models; Fertility studies
Abstract :
[en] This article introduces double additive models to describe the effect of continuous covariates in cure survival models, thereby relaxing the traditional linearity assumption in the two regression parts. This class of models extends the classical event history models when an unknown proportion of the population under study will never experience the event of interest. They are used on data from the German Socio-Economic Panel (GSOEP) to examine how age at first birth relates to the timing and quantum of fertility for given education levels of the respondents. It is shown that the conditional probability of having further children decreases with the mother's age at first birth. While the effect of age at first birth in the third birth's probability model is fairly linear, this is not the case for the second child with an accelerating decline detected for women that had their first kid beyond age 30. © 2019, SAGE Publications.
Disciplines :
Mathematics
Author, co-author :
Bremhorst, V.;  Université catholique de Louvain, Institut de Statistique, Biostatistique et Sciences Actuarielles, Louvain-la-Neuve, Belgium
Kreyenfeld, M.;  Hertie School of Governance, Berlin, Germany, Germany
Lambert, Philippe  ;  Université de Liège - ULiège > Département des sciences sociales > Méthodes quantitatives en sciences sociales
Language :
English
Title :
Nonparametric double additive cure survival models: An application to the estimation of the non-linear effect of age at first parenthood on fertility progression
Publication date :
2019
Journal title :
Statistical Modelling
ISSN :
1471-082X
eISSN :
1477-0342
Publisher :
SAGE Publications Ltd
Volume :
19
Issue :
3
Pages :
248-275
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 12 November 2019

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