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A nested copula duration model for competing risks with multiple spells

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  • Lo, Simon M.S.
  • Mammen, Enno
  • Wilke, Ralf A.

Abstract

A copula graphic estimator for the competing risks duration model with multiple spells is presented. By adopting a nested copula structure the dependencies between risks and spells are modelled separately. This breaks up an implicit restriction of popular duration models such as multivariate mixed proportional hazards. It is shown that the dependence structure between spells is identifiable and can be estimated, in contrast to the dependence structure between competing risks. Thus, by allowing these two components to differ, the model is not identifiable. This is an important finding related to the general identifiability of competing risks models. Various features of the model are investigated by simulations and its practicality is illustrated by an application to unemployment duration data.

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  • 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).
    • Handle: RePEc:eee:csdana:v:150:y:2020:i:c:s0167947320300773
    DOI: 10.1016/j.csda.2020.106986
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    as
    1. Y. Malevergne & D. Sornette, 2003. "Testing the Gaussian copula hypothesis for financial assets dependences," Quantitative Finance, Taylor & Francis Journals, vol. 3(4), pages 231-250.
    2. Anthony Pennington-Cross, 2010. "The Duration of Foreclosures in the Subprime Mortgage Market: A Competing Risks Model with Mixing," The Journal of Real Estate Finance and Economics, Springer, vol. 40(2), pages 109-129, February.
    3. Horowitz, Joel L. & Lee, Sokbae, 2004. "Semiparametric estimation of a panel data proportional hazards model with fixed effects," Journal of Econometrics, Elsevier, vol. 119(1), pages 155-198, March.
    4. 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.
    5. Dong Hwan Oh & Andrew J. Patton, 2017. "Modeling Dependence in High Dimensions With Factor Copulas," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 35(1), pages 139-154, January.
    6. Michael S. Smith & Shaun P. Vahey, 2016. "Asymmetric Forecast Densities for U.S. Macroeconomic Variables from a Gaussian Copula Model of Cross-Sectional and Serial Dependence," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 34(3), pages 416-434, July.
    7. Il Do Ha & Jong-Min Kim & Takeshi Emura, 2019. "Profile likelihood approaches for semiparametric copula and frailty models for clustered survival data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(14), pages 2553-2571, October.
    8. 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.
    9. Bo E. Honoré, 1993. "Identification Results for Duration Models with Multiple Spells," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 241-246.
    10. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    11. Braun, Christine & Engelhardt, Bryan & Griffy, Benjamin & Rupert, Peter, 2020. "Testing the independence of job arrival rates and wage offers," Labour Economics, Elsevier, vol. 63(C).
    12. Kole, Erik & Koedijk, Kees & Verbeek, Marno, 2007. "Selecting copulas for risk management," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2405-2423, August.
    13. van den Goorbergh, Rob W.J. & Genest, Christian & Werker, Bas J.M., 2005. "Bivariate option pricing using dynamic copula models," Insurance: Mathematics and Economics, Elsevier, vol. 37(1), pages 101-114, August.
    14. Horny, Guillaume & Picchio, Matteo, 2010. "Identification of lagged duration dependence in multiple-spell competing risks models," Economics Letters, Elsevier, vol. 106(3), pages 241-243, March.
    15. Mealli, Fabrizia & Pudney, Stephen, 1996. "Occupational Pensions and Job Mobility in Britain: Estimation of a Random-Effects Competing Risks Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 293-320, May-June.
    16. Chia-Hui Huang & Bowen Li & Chyong-Mei Chen & Weijing Wang & Yi-Hau Chen, 2017. "Subdistribution Regression for Recurrent Events Under Competing Risks: with Application to Shunt Thrombosis Study in Dialysis Patients," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 9(2), pages 339-356, December.
    17. Martin Burda & Matthew Harding & Jerry Hausman, 2015. "A Bayesian Semiparametric Competing Risk Model with Unobserved Heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(3), pages 353-376, April.
    18. P. G. Sankaran & P. Anisha, 2011. "Shared frailty model for recurrent event data with multiple causes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(12), pages 2859-2868, February.
    19. 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.
    20. Melanie Arntz & Ralf A. Wilke, 2012. "Weather-related Employment Subsidies as a Remedy for Seasonal Unemployment? Evidence from Germany," LABOUR, CEIS, vol. 26(2), pages 266-286, June.
    21. Jong‐Hyeon Jeong & Jason Fine, 2006. "Direct parametric inference for the cumulative incidence function," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 55(2), pages 187-200, April.
    22. 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.
    23. Dorner, Matthias & Heining, Jörg & Jacobebbinghaus, Peter & Seth, Stefan, 2010. "Sample of Integrated Labour Market Biographies (SIAB) 1975-2008," FDZ Methodenreport 201009_en, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    24. Hofert, Marius & Maechler, Martin, 2011. "Nested Archimedean Copulas Meet R: The nacopula Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 39(i09).
    25. Agnello, Luca & Castro, Vítor & Sousa, Ricardo M., 2019. "A competing risks tale on successful and unsuccessful fiscal consolidations," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 63(C).
    26. Adriaan Kalwij, 2010. "Unemployment durations and the pattern of duration dependence over the business cycle of British males," Empirical Economics, Springer, vol. 38(2), pages 429-456, April.
    27. Raquel Carrasco & J. Ignacio García-Pérez, 2015. "Employment Dynamics Of Immigrants Versus Natives: Evidence From The Boom-Bust Period In Spain, 2000–2011," Economic Inquiry, Western Economic Association International, vol. 53(2), pages 1038-1060, April.
    28. Knut Røed & Lars Westlie, 2012. "Unemployment Insurance In Welfare States: The Impacts Of Soft Duration Constraints," Journal of the European Economic Association, European Economic Association, vol. 10(3), pages 518-554, May.
    29. D'Addio, Anna Cristina & Rosholm, Michael, 2005. "Exits from temporary jobs in Europe: A competing risks analysis," Labour Economics, Elsevier, vol. 12(4), pages 449-468, August.
    30. Dorner, Matthias & Heining, Jörg & Jacobebbinghaus, Peter & Seth, Stefan, 2010. "Sample of Integrated Labour Market Biographies (SIAB) 1975-2008," FDZ Datenreport. Documentation on Labour Market Data 201001_en, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
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    2. Zhang, Chunfang & Wang, Liang & Bai, Xuchao & Huang, Jianan, 2022. "Bayesian reliability analysis for copula based step-stress partially accelerated dependent competing risks model," Reliability Engineering and System Safety, Elsevier, vol. 227(C).

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