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January 1996 On the strong limiting behavior of local functionals of empirical processes based upon censored data
Paul Deheuvels, John H. J. Einmahl
Ann. Probab. 24(1): 504-525 (January 1996). DOI: 10.1214/aop/1042644729

Abstract

We prove functional laws of the iterated logarithm for empirical processes based upon censored data in the neighborhood of a fixed point. We apply these results to obtain strong laws for estimators of local functionals of the lifetime distribution. In particular, we describe the pointwise strong limiting behavior of the kernel density estimator based upon the Kaplan-Meier product-limit estimator.

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Paul Deheuvels. John H. J. Einmahl. "On the strong limiting behavior of local functionals of empirical processes based upon censored data." Ann. Probab. 24 (1) 504 - 525, January 1996. https://doi.org/10.1214/aop/1042644729

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Published: January 1996
First available in Project Euclid: 15 January 2003

zbMATH: 0858.62037
MathSciNet: MR1387648
Digital Object Identifier: 10.1214/aop/1042644729

Rights: Copyright © 1996 Institute of Mathematical Statistics

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Vol.24 • No. 1 • January 1996
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