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Abstract Details

Activity Number: 98
Type: Invited
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: Journal of Nonparmametric Statistics
Abstract - #303809
Title: Position-Based Kernel Smoothing
Author(s): Winfried Stute*+
Companies: University of Giessen
Address: Mathematical Institute, Giessen, D-35392, Germany
Keywords: Kernel smoothing ; Density ; Regression ; Adaptive choice ; Hazard
Abstract:

Usually kernel smoothing methods are based on a given kernel $K$. In this talk we present a discussion of techniques in density, regression and hazard function estimation when $K$ is adapted to the data and is therefore random. Proper choices, for example, lead to estimators of an unknown function $f(x)$, say, in which the location within the sample plays some role and not only the data in the neighborhood of $x$. The adaptive choice of smoothing parameters does not rely, as often in nonparametric smoothing, on asymptotic expansions of bias and variance.


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