In this article we prove a central limit theorem for the $L_p$ distance $I_{n}(p)=\\int_{\\mathbb{R}} {|f_{n}(x)-f(x)|}^{p} d\\mu(x), 1\\leq p<\\infty,$ where

$\\mu$ is a weight function and $f_{n}$ is the ...

Kernel density estimators are the basic tools for density estimation in non-parametric statistics. The k-nearest neighbor kernel estimators represent a special form of kernel density estimators, in which the ...

This paper considers non-parametric density estimation in the context of multiplicativecensoring.Anewestimatorforthedensityfunctionisproposedandcon- sistency of the proposed estimator is investigated. Simulations are drawn ...