Uniform in bandwidth consistency of kernel-type function estimators

Details Uniform in bandwidth consistency of kernel-type function estimators Uniform in bandwidth consistency of kernel-type function estimators

2005-07-21

arxiv.org/abs/math/0507431v1

Annals of Statistics 2005, Vol. 33, No. 3, 1380-1403

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/009053605000000129 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053605000000129

We introduce a general method to prove uniform in bandwidth consistency of
kernel-type function estimators. Examples include the kernel density estimator,
the Nadaraya-Watson regression estimator and the conditional empirical process.
Our results may be useful to establish uniform consistency of data-driven
bandwidth kernel-type function estimators.

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