Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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INDEPENDENCE TEST FOR BIVARIATE CENSORED DATA UNDER UNIVARIATE CENSORSHIP

  • Kim, Jin-Heum (Department of Applied Statistics, University of Suwon) ;
  • Cai, Jian-Wen (Department of Biostatistics, University of North Carolina at Chapel Hill)
  • Published : 2003.06.01
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Abstract

We propose a test for independence of bivariate censored data under univariate censorship. To do this, we first introduce a process defined by the difference between bivariate survival function estimator proposed by Lin and Ying (1993) and the product of the product-limit estimators (Kaplan and Meier, 1958) for the marginal survival functions, and derive its asymptotic properties under the null hypothesis of independence. We propose a Cramer-von Mises-type test procedure based on the process . We conduct simulation studies to investigate the finite-sample performance of the proposed test and illustrate the proposed test with a real example.

Keywords

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