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The non-parametric identification of the mixed proportional hazards competing risks model

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  • Abbring, Jaap H.

    (Vrije Universiteit Amsterdam, Faculteit der Economische Wetenschappen en Econometrie (Free University Amsterdam, Faculty of Economics Sciences, Business Administration and Economitrics)

  • Berg, Gerard J. van den

Abstract

We prove identification of dependent competing risks models in which each risk has a mixed proportional hazard specification with regressors, and the risks are dependent by way of the unobserved heterogeneity, or frailty, components. We show that the conditions for non-parametric identification given by Heckman and Honor6 (1989) can be relaxed. We generalize the results for the case in which multiple spells are observed for each subject.

Suggested Citation

  • Abbring, Jaap H. & Berg, Gerard J. van den, 2000. "The non-parametric identification of the mixed proportional hazards competing risks model," Serie Research Memoranda 0024, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  • Handle: RePEc:vua:wpaper:2000-24
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    References listed on IDEAS

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    1. Jinyong Hahn, 1994. "The Efficiency Bound of the Mixed Proportional Hazard Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 607-629.
    2. Geert Ridder, 1990. "The Non-Parametric Identification of Generalized Accelerated Failure-Time Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 167-181.
    3. Ridder, Geert & Tunali, Insan, 1999. "Stratified partial likelihood estimation," Journal of Econometrics, Elsevier, vol. 92(2), pages 193-232, October.
    4. Melino, Angelo & Sueyoshi, Glenn T., 1990. "A simple approach to the identifiability of the proportional hazards model," Economics Letters, Elsevier, vol. 33(1), pages 63-68, May.
    5. James J. Heckman & Christopher R. Taber, 1994. "Econometric Mixture Models and More General Models for Unobservables in Duration Analysis," NBER Technical Working Papers 0157, National Bureau of Economic Research, Inc.
    6. Lancaster, Tony, 1979. "Econometric Methods for the Duration of Unemployment," Econometrica, Econometric Society, vol. 47(4), pages 939-956, July.
    7. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
    8. Chris Elbers & Geert Ridder, 1982. "True and Spurious Duration Dependence: The Identifiability of the Proportional Hazard Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 403-409.
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    Cited by:

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    3. Piil Damm, Anna, 2005. "Immigrants’ Location Preferences: Exploiting a Natural Experiment," Working Papers 05-2, University of Aarhus, Aarhus School of Business, Department of Economics.
    4. Emmanuel Dechenaux & Brent Goldfarb & Scott Shane & Marie Thursby, 2008. "Appropriability and Commercialization: Evidence from MIT Inventions," Management Science, INFORMS, vol. 54(5), pages 893-906, May.
    5. Tara Shankar Shaw, 2011. "Transitions from Cohabitation," Review of Market Integration, India Development Foundation, vol. 3(2), pages 121-159, August.
    6. Jensen, Peter & Rosholm, Michael & Svarer, Michael, 2003. "The response of youth unemployment to benefits, incentives, and sanctions," European Journal of Political Economy, Elsevier, vol. 19(2), pages 301-316, June.

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    More about this item

    Keywords

    competing risks; mixed proportional hazard; non-parametric identification; frailty; duration model; multiple spells.;
    All these keywords.

    JEL classification:

    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General

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