Louis-Paul Rivest

Université du Québec, Quebec City, Quebec, Canada

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Publications (1)0.93 Total impact

  • Source
    Louis-Paul Rivest · Martin T. Wells
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    ABSTRACT: The product limit estimator is arguably the most popular method of estimating survival probabilities in homogeneous samples. When the survival time and the censoring time are dependent, the product-limit estimator is an inconsistent estimator of the marginal survival function. Recently M. Zheng and J. P. Klein (1995, Biometrika82, 127–138) proposed a copula-graphic estimator that models the dependency between censoring and survival using a copula function. This work investigates their proposal. First it derives a closed form expression for the copula-graphic estimator when the joint survival function is modeled with an Archimedean copula. The copula-graphic estimator is then shown to be uniformly consistent and asymptotically normal. It is also equivalent to the usual product-limit estimator when the survival and censoring times are assumed to be independent. A sensitivity analysis of the specification of the copula model for the dependency is also presented.
    Full-text · Article · Oct 2001 · Journal of Multivariate Analysis

Publication Stats

49 Citations
0.93 Total Impact Points

Institutions

  • 2001
    • Université du Québec
      Quebec City, Quebec, Canada