Sankhya: The Indian Journal of Statistics

1998, Volume 60, Series A, Pt. 2, pp. 293-304

SOME NONPARAMETRIC ESTIMATORS AND THEIR PROPERTIES UNDER THE COMPETING RISKS CASE

By

PING CHEN, Southeast University, Nanjing

SUMMARY. A PL-type estimator of survival curves and its consistency and weak convergence under the competing risks case is discussed. In addition, we propose a simple estimator for the immune proportion in a population, which is shown to be consistent and the asymptotic normality of the estimator is also obtained.

AMS (1991) subject classification.Primary 62G05; secondary 62E20, 62N05.

Key words and phrases. Competing risks, consistency, weak convergence, asymptotic normality, PL-type estimator, immune proportion, martingale.

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