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On the nonidentifiability property of Archimedean copula models under dependent censoring

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  • Wang, Antai

Abstract

In this paper, we prove a peculiar property shared by the Archimedean copula models, that is, different Archimedean copula models with distinct dependent levels can have the same crude survival functions for dependent censored data. This property directly shows the nonidentifiability property of the Archimedean copula models. The proposed procedure is then demonstrated by two examples.

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  • Wang, Antai, 2012. "On the nonidentifiability property of Archimedean copula models under dependent censoring," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 621-625.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:3:p:621-625
    DOI: 10.1016/j.spl.2011.11.005
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    References listed on IDEAS

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    1. 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.
    2. Xuelin Huang & Robert A. Wolfe, 2002. "A Frailty Model for Informative Censoring," Biometrics, The International Biometric Society, vol. 58(3), pages 510-520, September.
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    Cited by:

    1. Geert Zittersteyn & Jennifer Alonso-García, 2021. "Common Factor Cause-Specific Mortality Model," Risks, MDPI, vol. 9(12), pages 1-30, December.
    2. 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.
    3. Antai Wang & Krishnendu Chandra & Ruihua Xu & Junfeng Sun, 2015. "The Identifiability of Dependent Competing Risks Models Induced by Bivariate Frailty Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 42(2), pages 427-437, June.
    4. Sujica, Aleksandar & Van Keilegom, Ingrid, 2013. "Estimation of location and scale functionals in nonparametric regression under copula dependent censoring," LIDAM Discussion Papers ISBA 2013024, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    5. Schwarz, Maik & Jongbloed, Geurt & Van Keilegom, Ingrid, 2012. "On the identifiability of copulas in bivariate competing risks models," LIDAM Discussion Papers ISBA 2012032, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

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