A general approach to the study of L1 asymptotic unbiasedness of kernel density estimators in Rd
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Date
2013-08-26
Authors
Stinner, Mark
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Abstract
A technique for establishing L1 asymptotic unbiasedness of a kernel density
estimator in Rd that does not depend on the form of the kernel function will be
demonstrated. We will introduce the concept of a region sequence of a sequence
of kernel functions and show how this can be used to give necessary and sufficient
conditions for L1 asymptotic unbiasedness. These results are then applied to kernel
density estimators whose form is given and a number of known and novel results
are obtained.
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Keywords
asymptotic, unbiasedness, kernel, density, estimator