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A semiparametric model for the cause-specific hazard under risk proportionality

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  • Lo, Simon M.S.
  • Wilke, Ralf A.
  • Emura, Takeshi

Abstract

Semiparametric Cox proportional hazards models enjoy great popularity in empirical survival analysis. A semiparametric model for cause-specific hazards under a proportionality restriction across risks is considered, which has desired practical properties such as estimation by partial likelihood and an analytical solution for the copula-graphic estimator. The cause-specific and marginal hazards are shown to share functional form restrictions in this case. The model for the cause-specific hazard can be used for inference about parametric restrictions on the marginal hazard without the risk of misspecifying the latter and without knowing the risk dependence. After the class of parametric marginal hazards has been determined, it can be estimated in conjunction with the degree of risk dependence. Finite sample properties are investigated with simulations. An application to employment duration demonstrates the practicality of the approach.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:csdana:v:195:y:2024:i:c:s0167947324000379
    DOI: 10.1016/j.csda.2024.107953
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    1. Deresa, Negera Wakgari & Van Keilegom , Ingrid, 2020. "Flexible parametric model for survival data subject to dependent censoring," LIDAM Reprints ISBA 2020043, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    2. Heather Dickey & Verity Watson & Alexandros Zangelidis, 2011. "Is it all about money? An examination of the motives behind moonlighting," Applied Economics, Taylor & Francis Journals, vol. 43(26), pages 3767-3774.
    3. Smith Conway, Karen & Kimmel, Jean, 1998. "Male labor supply estimates and the decision to moonlight," Labour Economics, Elsevier, vol. 5(2), pages 135-166, June.
    4. Yi‐Hau Chen, 2010. "Semiparametric marginal regression analysis for dependent competing risks under an assumed copula," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(2), pages 235-251, March.
    5. Sujica, Aleksandar & Van Keilegom, Ingrid, 2018. "The copula-graphic estimator in censored nonparametric location-scale regression models," Econometrics and Statistics, Elsevier, vol. 7(C), pages 89-114.
    6. Renna, Francesco & Oaxaca, Ronald L., 2006. "The Economics of Dual Job Holding: A Job Portfolio Model of Labor Supply," IZA Discussion Papers 1915, Institute of Labor Economics (IZA).
    7. Braekers, Roel & Veraverbeke, Noël, 2008. "A conditional Koziol-Green model under dependent censoring," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 927-937, May.
    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. Jacobo Uña-Álvarez & Noël Veraverbeke, 2013. "Generalized copula-graphic estimator," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 343-360, June.
    10. Simon M. S. Lo & Ralf A. Wilke, 2010. "A copula model for dependent competing risks," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(2), pages 359-376, March.
    11. Chen, Xuerong & Hu, Tao & Sun, Jianguo, 2017. "Sieve maximum likelihood estimation for the proportional hazards model under informative censoring," Computational Statistics & Data Analysis, Elsevier, vol. 112(C), pages 224-234.
    12. Jaroslava Hlouskova & Panagiotis Tsigaris & Anetta Caplanova & Rudolf Sivak, 2017. "A behavioral portfolio approach to multiple job holdings," Review of Economics of the Household, Springer, vol. 15(2), pages 669-689, June.
    13. Schwarz, Maik & Jongbloed, Geurt & Van Keilegom, Ingrid, 2013. "On the identifiability of copulas in bivariate competing risks models," LIDAM Reprints ISBA 2013017, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    14. 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.
    15. Wang, Antai, 2014. "Properties of the marginal survival functions for dependent censored data under an assumed Archimedean copula," Journal of Multivariate Analysis, Elsevier, vol. 129(C), pages 57-68.
    16. 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.
    17. Jia-Han Shih & Takeshi Emura, 2018. "Likelihood-based inference for bivariate latent failure time models with competing risks under the generalized FGM copula," Computational Statistics, Springer, vol. 33(3), pages 1293-1323, September.
    18. Xuelin Huang & Nan Zhang, 2008. "Regression Survival Analysis with an Assumed Copula for Dependent Censoring: A Sensitivity Analysis Approach," Biometrics, The International Biometric Society, vol. 64(4), pages 1090-1099, December.
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