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A General Semiparametric Approach to Inference with Marker-Dependent Hazard Rate Models

Author

Listed:
  • van den Berg, Gerard J.

    (University of Groningen)

  • Janys, Lena

    (Newcastle University)

  • Mammen, Enno

    (Heidelberg University)

  • Nielsen, Jens P.

    (Cass Business School)

Abstract

We examine a new general class of hazard rate models for survival data, containing a parametric and a nonparametric component. Both can be a mix of a time effect and (possibly time-dependent) marker or covariate effects. A number of well-known models are special cases. In a counting process framework, a general profile likelihood estimator is developed and the parametric component of the model is shown to be asymptotically normal and efficient. The analysis improves on earlier results for special cases. Finite sample properties are investigated in simulations. The estimator is shown to work well under realistic empirical conditions. The estimator is applied to investigate the long-run relationship between birth weight and later-life mortality using data from the Uppsala Birth Cohort Study of individuals born in 1915-1929. The results suggest a relationship that is difficult to capture with simple parametric specifications. Moreover, its shape at higher birth weights differs across gender.

Suggested Citation

  • van den Berg, Gerard J. & Janys, Lena & Mammen, Enno & Nielsen, Jens P., 2014. "A General Semiparametric Approach to Inference with Marker-Dependent Hazard Rate Models," IZA Discussion Papers 8339, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp8339
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    References listed on IDEAS

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    1. Van den Berg, Gerard & Modin, Bitte, 2013. "Economic Conditions at Birth, Birth Weight, Ability, and the Causal Path to Cardiovascular Mortality," CEPR Discussion Papers 9650, C.E.P.R. Discussion Papers.
    2. Douglas Almond & Kenneth Y. Chay & David S. Lee, 2005. "The Costs of Low Birth Weight," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(3), pages 1031-1083.
    3. Gerard J. van den Berg, 1990. "Nonstationarity in Job Search Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 255-277.
    4. Jens Perch Nielsen, 1998. "Marker dependent kernel hazard estimation from local linear estimation," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 1998(2), pages 113-124.
    5. Van den Berg, Gerard J., 2001. "Duration models: specification, identification and multiple durations," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 55, pages 3381-3460, Elsevier.
    6. Olivier Jean Blanchard & Peter Diamond, 1994. "Ranking, Unemployment Duration, and Wages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 417-434.
    7. Jens Perch Nielsen & Carsten Tanggaard, 2001. "Boundary and Bias Correction in Kernel Hazard Estimation," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(4), pages 675-698, December.
    8. Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504, September.
    9. Enno Mammen & Jens Perch Nielsen, 2007. "A General Approach to the Predictability Issue in Survival Analysis with Applications," Biometrika, Biometrika Trust, vol. 94(4), pages 873-892.
    10. Douglas Almond & Janet Currie, 2011. "Killing Me Softly: The Fetal Origins Hypothesis," Journal of Economic Perspectives, American Economic Association, vol. 25(3), pages 153-172, Summer.
    11. Spierdijk, Laura, 2008. "Nonparametric conditional hazard rate estimation: A local linear approach," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2419-2434, January.
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    Cited by:

    1. James Wolter, 2015. "Asymptotics for Sieve Estimators of Hazard Rates: Estimating Hazard Functionals," Economics Series Working Papers 760, University of Oxford, Department of Economics.

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    More about this item

    Keywords

    birth weight; covariate effects; survival analysis; local linear estimation; asymptotic distribution; mortality; social class;
    All these keywords.

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

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