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Association estimation for clustered failure time data with a cure fraction


  • Chen, Chyong-Mei
  • Lu, Tai-Fang C.
  • Hsu, Chao-Min


Substantial research has been devoted to developing methodology for inferring the association of clustered failure time data. However, in the study of familial disease, there may be a proportion of patients cured or nonsusceptible to the disease. Thus, it is necessary to simultaneously consider two types of association, i.e., the association of the susceptibility of the individuals, and that of the ages at onset between the susceptible individuals. In this paper, we consider the pairwise association in both types of association to reduce the mathematical intractability and the difficulty in specifying the full correlation structure. The former association is measured by the pairwise odds ratio of the binary cure statuses, and the latter by the bivariate Clayton copula with a semiparametric marginal regression model for any pair of correlated failure times. For the marginal model, it is formulated as a fairly general semiparametric regression cure model. A two-stage estimation procedure is adopted for the association estimation. We establish the consistency and asymptotic normality of the estimators for these two types of association. Simulation studies are conducted to assess finite sample properties, and the proposed method is illustrated by a subset of the data in the Australian Twins Study.

Suggested Citation

  • Chen, Chyong-Mei & Lu, Tai-Fang C. & Hsu, Chao-Min, 2013. "Association estimation for clustered failure time data with a cure fraction," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 210-222.
  • Handle: RePEc:eee:csdana:v:57:y:2013:i:1:p:210-222 DOI: 10.1016/j.csda.2012.06.016

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    References listed on IDEAS

    1. Wenbin Lu, 2004. "On semiparametric transformation cure models," Biometrika, Biometrika Trust, vol. 91(2), pages 331-343, June.
    2. Chen, Chyong-Mei & Lu, Tai-Fang C., 2012. "Marginal analysis of multivariate failure time data with a surviving fraction based on semiparametric transformation cure models," Computational Statistics & Data Analysis, Elsevier, vol. 56(3), pages 645-655.
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    Cited by:

    1. repec:spr:lifeda:v:23:y:2017:i:4:d:10.1007_s10985-016-9371-2 is not listed on IDEAS
    2. Lajmi Lakhal-Chaieb & Thierry Duchesne, 0. "Association measures for bivariate failure times in the presence of a cure fraction," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 0, pages 1-16.


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