A bivariate cure-mixture approach for modeling familial association in diseases

Nilanjan Chatterjee, Joanna Shih

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


For modeling correlation in familial diseases with variable ages at onset, we propose a bivariate model that incorporates two types of pairwise association, one between the lifetime risk or the overall susceptibility of two individuals and one between the ages at onset between two susceptible individuals. For estimation, we consider a two-stage estimation procedure similar to that of Shih (1998, Biometrics 54, 1115-1128). We evaluate the properties of the estimators through simulations and compare the performance with that from a bivariate survival model that allows correlation between ages at onset only. We apply the methodology to breast cancer using the kinship data from the Washington Ashkenazi Study. We also discuss potential applications of the proposed method in the area of cure modeling.

Original languageEnglish (US)
Pages (from-to)779-786
Number of pages8
Issue number3
StatePublished - 2001
Externally publishedYes


  • Copula models
  • Correlated failure times
  • Cure models
  • Mixture models
  • Semiparametric models

ASJC Scopus subject areas

  • Statistics and Probability
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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