2018
DOI: 10.1177/1471082x18784685
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Nonparametric double additive cure survival models: An application to the estimation of the non-linear effect of age at first parenthood on fertility progression

Abstract: Bremhorst et al. 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 SocioEconomic 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… Show more

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Cited by 6 publications
(6 citation statements)
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References 55 publications
(78 reference statements)
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“…second births when data are censored (Klesment et al 2014;Kreyenfeld 2002). More recently, some studies have used cure models, which allow for the estimation of the share of people who have not experienced a second birth when analysing transition rates (Bremhorst et al 2019;Matysiak/Vignoli 2019). Instead, we separate the analysis of transition occurrences from that of the timing of second births.…”
Section: Methodsmentioning
confidence: 99%
“…second births when data are censored (Klesment et al 2014;Kreyenfeld 2002). More recently, some studies have used cure models, which allow for the estimation of the share of people who have not experienced a second birth when analysing transition rates (Bremhorst et al 2019;Matysiak/Vignoli 2019). Instead, we separate the analysis of transition occurrences from that of the timing of second births.…”
Section: Methodsmentioning
confidence: 99%
“…Previous studies at the individual level show that gender, age, marriage, religion, house, social equity is closely correlated with residents’ happiness [ 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 ]. Therefore, Gender, Age, Age 2 , Religion, House, Marriage and Social equity were set as the control variables ( Table 1 ).…”
Section: Methodsmentioning
confidence: 99%
“…Gender and Religion were set as dummy variables. Considering the possible non-linear effect of the age of the residents on their happiness [ 28 , 29 ], we introduced the square term of residents’ age as the control variable [ 29 ]. Some studies have pointed out that housing area has become an important factor affecting individual’s happiness [ 30 , 31 ].…”
Section: Methodsmentioning
confidence: 99%
“…5/ Tsodikov (2002) proposed, in a frequentist framework, a non-parametric estimator of the baseline survival function S 0 .t/, whereas Yin and Ibrahim (2005), using a piecewise exponential distribution, and , using P-splines, suggested a flexible specification of S 0 .t/ in a Bayesian framework; see Gressani and Lambert (2018) for fast inference in that Bayesian setting. Recently, several extensions of the promotion time model have been proposed in the literature; see for example Liu and Shen (2009), Kim et al (2009), Lopes and Bolfarine (2012), Li and Lee (2017) and Bremhorst et al (2019). Our paper is motivated by the analysis of data from the German Socio-Economic Panel (Wagner et al, 2007) studying the transition to second and third births.…”
Section: Introductionmentioning
confidence: 99%