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Copula-graphic estimators for the marginal survival function with censoring indicators missing at random

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  • Liu, Yi
  • Wang, Qihua

Abstract

In this paper, we propose three copula-graphic estimators for the survival function with censoring indicators missing at random in the dependent censoring situation and develop their asymptotic properties. Simulations and data analysis are conducted to evaluate their performances.

Suggested Citation

  • Liu, Yi & Wang, Qihua, 2015. "Copula-graphic estimators for the marginal survival function with censoring indicators missing at random," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 101-110.
    • Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:101-110
    DOI: 10.1016/j.spl.2015.08.010
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Yi Li & Ram C. Tiwari & Subharup Guha, 2007. "Mixture cure survival models with dependent censoring," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 69(3), pages 285-306, June.
    4. D. Y. Lin & L. J. Wei & I. Yang & Z. Ying, 2000. "Semiparametric regression for the mean and rate functions of recurrent events," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(4), pages 711-730.
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