Abstract
In this paper the limit points of the Kaplan-Meier estimator is discussed. We use the method of strong approximation to get the unit ball of the reproducing kernel Hilbert space.
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References
Kaplan, E. L. and Meier, P., Nonparametric estimation from incomplete observations,JASA,53 (1958), 457–481.
Földes, A. and Rejtő, L., A LIL type result for the product limit estimator,ZW,56 (1981), 75–86.
Zheng Zukang, A note on the LIL type result for the product limit estimator,Acta Mathematica Sinica, New Series,2 (1986), 144–151.
Burke, M. D., Csörgő, S. and Horváth, L., Strong approximations of some biometric estimates under random censorship,ZW,56 (1981), 87–112.
Lai, T. L., Reproducing kernel Hilbert spaces and the law of the iterated logarithm for Gaussian processes.ZW,29 (1974), 7–19.
Breslow, N. and Crowley, J., A large sample study of the life table and product limit estimates under random censorship,Ann. Statist.,2 (1974), 437–453.
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Zukang, Z. On the limit points of the Kaplan-Meier estimator. Acta Mathematica Sinica 6, 65–71 (1990). https://doi.org/10.1007/BF02108865
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DOI: https://doi.org/10.1007/BF02108865