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Competing Risks Copula Models for Unemployment Duration: An Application to a German Hartz Reform

Author

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  • Lo Simon M.S.

    (Lingnan University, Rm 218, Ho Sin Hang Building, Lingnan University, Hong Kong)

  • Stephan Gesine

    (Institute for Employment Research (IAB) and Friedrich-Alexander-Universitaet Erlangen Nuernberg (FAU), Regensburger Str. 104, 90478 Nuremberg, Germany)

  • Wilke Ralf A.

    (Copenhagen Business School, Department of Economics, Porcelaenshaven 16A, 2000 Frederiksberg, Denmark)

Abstract

The copula graphic estimator (CGE) for competing risks models has received little attention in empirical research, despite having been developed into a comprehensive research method. In this paper, we bridge the gap between theoretical developments and applied research by considering a general class of competing risks copula models, which nests popular models such as the Cox proportional hazards model, the semiparametric multivariate mixed proportional hazards model (MMPHM), and the CGE as special cases. Analyzing the effects of a German Hartz reform on unemployment duration, we illustrate that the CGE imposes fewer restrictions on partial covariate effects than standard methods do. Differences are less evident when a more flexible difference-in-differences estimator is applied. It is also found that the MMPHM estimates react more strongly to the choice of the copula than the CGE in terms of the shape of the treatment effect function over time. Thus, the MMPHM produces less robust results in our application.

Suggested Citation

  • Lo Simon M.S. & Stephan Gesine & Wilke Ralf A., 2017. "Competing Risks Copula Models for Unemployment Duration: An Application to a German Hartz Reform," Journal of Econometric Methods, De Gruyter, vol. 6(1), pages 1-20, January.
  • Handle: RePEc:bpj:jecome:v:6:y:2017:i:1:p:20:n:4
    DOI: 10.1515/jem-2015-0005
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    References listed on IDEAS

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    1. Marco Caliendo & Konstantinos Tatsiramos & Arne Uhlendorff, 2013. "Benefit Duration, Unemployment Duration And Job Match Quality: A Regression‐Discontinuity Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 604-627, June.
    2. Lee, Sokbae & Wilke, Ralf A., 2009. "Reform of Unemployment Compensation in Germany: A Nonparametric Bounds Analysis Using Register Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(2), pages 193-205.
    3. Rivest, Louis-Paul & Wells, Martin T., 2001. "A Martingale Approach to the Copula-Graphic Estimator for the Survival Function under Dependent Censoring," Journal of Multivariate Analysis, Elsevier, vol. 79(1), pages 138-155, October.
    4. Johannes F. Schmieder & Till von Wachter & Stefan Bender, 2012. "The Effects of Extended Unemployment Insurance Over the Business Cycle: Evidence from Regression Discontinuity Estimates Over 20 Years," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 701-752.
    5. Stephan Dlugosz & Gesine Stephan & Ralf A. Wilke, 2014. "Fixing the Leak: Unemployment Incidence before and after a Major Reform of Unemployment Benefits in Germany," German Economic Review, Verein für Socialpolitik, vol. 15(3), pages 329-352, August.
    6. Jerry Hausman & Tiemen Woutersen, 2014. "Estimating the Derivative Function and Counterfactuals in Duration Models with Heterogeneity," Econometric Reviews, Taylor & Francis Journals, vol. 33(5-6), pages 472-496, August.
    7. Lo Simon M.S. & Wilke Ralf A., 2014. "A Regression Model for the Copula-Graphic Estimator," Journal of Econometric Methods, De Gruyter, vol. 3(1), pages 21-46, January.
    8. Johannes F. Schmieder† & Till von Wachter & Stefan Bender, 2011. "The Effects Of Extended Unemployment Insurance Over The Business Cycle: Evidence From Regression Discontinuity Estimates Over Twenty Years," Boston University - Department of Economics - Working Papers Series WP2011-063, Boston University - Department of Economics.
    9. Melanie Arntz & Simon Lo & Ralf Wilke, 2014. "Bounds analysis of competing risks: a non-parametric evaluation of the effect of unemployment benefits on migration," Empirical Economics, Springer, vol. 46(1), pages 199-228, February.
    10. Baker, Michael & Melino, Angelo, 2000. "Duration dependence and nonparametric heterogeneity: A Monte Carlo study," Journal of Econometrics, Elsevier, vol. 96(2), pages 357-393, June.
    11. Han, Aaron & Hausman, Jerry A, 1990. "Flexible Parametric Estimation of Duration and Competing Risk Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(1), pages 1-28, January-M.
    12. Jan C. van Ours & Milan Vodopivec, 2006. "How Shortening the Potential Duration of Unemployment Benefits Affects the Duration of Unemployment: Evidence from a Natural Experiment," Journal of Labor Economics, University of Chicago Press, vol. 24(2), pages 351-378, April.
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    Cited by:

    1. Regina T. Riphahn & Rebecca Schrader, 2017. "Institutional reforms and an incredible rise in old age employment," Working Papers 169, Bavarian Graduate Program in Economics (BGPE).
    2. Inna Petrunyk & Christian Pfeifer, 2022. "Diverse effects of shorter potential unemployment benefit duration on labor market outcomes in Germany," LABOUR, CEIS, vol. 36(3), pages 367-388, September.
    3. Lo, Simon M.S. & Shi, Shuolin & Wilke, Ralf A., 2025. "A copula duration model with dependent states and spells," Computational Statistics & Data Analysis, Elsevier, vol. 204(C).
    4. Inna Petrunyk & Christian Pfeifer, 2018. "Shortening the potential duration of unemployment benefits and labor market outcomes: Evidence from a natural experiment in Germany," Working Paper Series in Economics 377, University of Lüneburg, Institute of Economics.
    5. Lo, Simon M.S. & Mammen, Enno & Wilke, Ralf A., 2020. "A nested copula duration model for competing risks with multiple spells," Computational Statistics & Data Analysis, Elsevier, vol. 150(C).
    6. Lo, Simon M.S. & Wilke, Ralf A. & Emura, Takeshi, 2024. "A semiparametric model for the cause-specific hazard under risk proportionality," Computational Statistics & Data Analysis, Elsevier, vol. 195(C).

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    More about this item

    Keywords

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    JEL classification:

    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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