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Nonparametric double additive cure survival models: an application to the estimation of the nonlinear effect of age at first parenthood on fertility progression

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  • Bremhorst, Vincent
  • Kreyenfeld, Michaela
  • Lambert, Philippe

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  • Bremhorst, Vincent & Kreyenfeld, Michaela & Lambert, Philippe, 2017. "Nonparametric double additive cure survival models: an application to the estimation of the nonlinear effect of age at first parenthood on fertility progression," LIDAM Discussion Papers ISBA 2017004, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    • Handle: RePEc:aiz:louvad:2017004
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    1. Bremhorst, Vincent & Lambert, Philippe, 2016. "Flexible estimation in cure survival models using Bayesian P-splines," LIDAM Reprints ISBA 2016002, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    2. Francesco C. Billari & Hans‐Peter Kohler & Gunnar Andersson & Hans Lundström, 2007. "Approaching the Limit: Long‐Term Trends in Late and Very Late Fertility," Population and Development Review, The Population Council, Inc., vol. 33(1), pages 149-170, March.
    3. Vincent Bremhorst & Michaela Kreyenfeld & Philippe Lambert, 2016. "Fertility progression in Germany: An analysis using flexible nonparametric cure survival models," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 35(18), pages 505-534.
    4. Carvalho Lopes, Celia Mendes & Bolfarine, Heleno, 2012. "Random effects in promotion time cure rate models," Computational Statistics & Data Analysis, Elsevier, vol. 56(1), pages 75-87, January.
    5. Tomáš Sobotka, 2004. "Is Lowest‐Low Fertility in Europe Explained by the Postponement of Childbearing?," Population and Development Review, The Population Council, Inc., vol. 30(2), pages 195-220, June.
    6. Ann Berrington & Juliet Stone & Eva Beaujouan, 2015. "Educational differences in timing and quantum of childbearing in Britain," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 33(26), pages 733-764.
    7. Bremhorst, Vincent & Kreyenfeld, Michaela & Lambert, Philippe, 2016. "Fertility progression in Germany: An analysis using flexible nonparametric cure survival models," LIDAM Reprints ISBA 2016023, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    8. Li Li & Ji-Hyun Lee, 2017. "A latent promotion time cure rate model using dependent tail-free mixtures," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(3), pages 891-905, June.
    9. Gunnar Andersson & Marit Rønsen & Lisbeth B. Knudsen & Trude Lappegård & Gerda Neyer & Kari Skrede & Kathrin Teschner & Andres Vikat, 2009. "Cohort fertility patterns in the Nordic countries," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 20(14), pages 313-352.
    10. Tomas Frejka & Jean-Paul Sardon, 2006. "First birth trends in developed countries: a cohort analysis," MPIDR Working Papers WP-2006-014, Max Planck Institute for Demographic Research, Rostock, Germany.
    11. Gert G. Wagner & Joachim R. Frick & Jürgen Schupp, 2007. "The German Socio-Economic Panel Study (SOEP) – Scope, Evolution and Enhancements," Schmollers Jahrbuch : Journal of Applied Social Science Studies / Zeitschrift für Wirtschafts- und Sozialwissenschaften, Duncker & Humblot, Berlin, vol. 127(1), pages 139-169.
    12. Simon N. Wood, 2011. "Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 73(1), pages 3-36, January.
    13. Hans‐Peter Kohler & Joseph L. Rodgers & Kaare Christensen, 1999. "Is Fertility Behavior in Our Genes? Findings from a Danish Twin Study," Population and Development Review, The Population Council, Inc., vol. 25(2), pages 253-288, June.
    14. Zeng, Donglin & Yin, Guosheng & Ibrahim, Joseph G., 2006. "Semiparametric Transformation Models for Survival Data With a Cure Fraction," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 670-684, June.
    15. Lambert, Philippe, 2007. "Archimedean copula estimation using Bayesian splines smoothing techniques," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6307-6320, August.
    16. Jullion, Astrid & Lambert, Philippe, 2007. "Robust specification of the roughness penalty prior distribution in spatially adaptive Bayesian P-splines models," Computational Statistics & Data Analysis, Elsevier, vol. 51(5), pages 2542-2558, February.
    17. Ron Lesthaeghe, 2010. "The Unfolding Story of the Second Demographic Transition," Population and Development Review, The Population Council, Inc., vol. 36(2), pages 211-251, June.
    18. Bremhorst, Vincent & Lambert, Philippe, 2016. "Flexible estimation in cure survival models using Bayesian P-splines," Computational Statistics & Data Analysis, Elsevier, vol. 93(C), pages 270-284.
    19. Margaret Marini & Peter Hodsdon, 1981. "Effects of the timing of marriage and first birth of the spacing of subsequent births," Demography, Springer;Population Association of America (PAA), vol. 18(4), pages 529-548, November.
    20. Tomáš Sobotka, 2008. "Overview Chapter 6: The diverse faces of the Second Demographic Transition in Europe," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 19(8), pages 171-224.
    21. Tomas Frejka & Jean-Paul Sardon, 2006. "First birth trends in developed countries," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 15(6), pages 147-180.
    22. Tamás Bartus & Lívia Murinkó & Ivett Szalma & Bernadett Szél, 2013. "The effect of education on second births in Hungary," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 28(1), pages 1-32.
    23. Massimiliano Bratti & Konstantinos Tatsiramos, 2012. "The effect of delaying motherhood on the second childbirth in Europe," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(1), pages 291-321, January.
    24. Mette Gerster & Niels Keiding & Lisbeth B. Knudsen & Katrine Strandberg-Larsen, 2007. "Education and second birth rates in Denmark 1981-1994," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 17(8), pages 181-210.
    25. Joshua R. Goldstein & Tomáš Sobotka & Aiva Jasilioniene, 2009. "The End of “Lowest‐Low” Fertility?," Population and Development Review, The Population Council, Inc., vol. 35(4), pages 663-699, December.
    26. Michaela Kreyenfeld, 2002. "Time Squeeze, Partner Effect or Self-Selection?," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 7(2), pages 15-48.
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