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

Author

Listed:
  • Lambert, Philippe

    (Université catholique de Louvain, LIDAM/ISBA, Belgium)

  • Bremhorst, Vincent

    (Université catholique de Louvain, LIDAM/ISBA, Belgium)

Abstract

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.

Suggested Citation

  • Lambert, Philippe & Bremhorst, Vincent, 2020. "Inclusion of time-varying covariates in cure survival models with an application in fertility studies," LIDAM Reprints ISBA 2020040, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    • Handle: RePEc:aiz:louvar:2020040
    DOI: https://doi.org/10.1111/rssa.12501
    Note: In: Journal of the Royal Statistical Society. Series A, Statistics in society, Vol. 183, no. 1, p. 333-354 (2020)
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    Citations

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    Cited by:

    1. Michaela Kreyenfeld & Dirk Konietzka & Philippe Lambert & Vincent Jerald Ramos, 2023. "Second Birth Fertility in Germany: Social Class, Gender, and the Role of Economic Uncertainty," European Journal of Population, Springer;European Association for Population Studies, vol. 39(1), pages 1-27, December.
    2. Kreyenfeld, Michaela & Konietzka, Dirk & Lambert, Philippe & Ramos, Vincent Jerald, 2022. "Second Birth Fertility in Germany: Social Class, Gender, and the Role of Economic Uncertainty," LIDAM Discussion Papers ISBA 2022023, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    3. Philippe Lambert, 2023. "Comments on: Nonparametric estimation in mixture cure models with covariates," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 32(2), pages 506-509, June.
    4. Lambert, Philippe & Kreyenfeld, Michaela, 2023. "Exogenous time-varying covariates in double additive cure survival model with application to fertility," LIDAM Discussion Papers ISBA 2023006, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

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