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Lp Distance for kernel density estimator in length-biased data
Year: 2016
Abstract:
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 ...
Asymptotic behaviors of nearest neighbor kernel density estimator in left-truncated data
Year: 2014
Abstract:
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 ...
On estimation of a density function in multiplicative censoring
Year: 2014
Abstract:
This paper considers non-parametric density estimation in the context of multiplicativecensoring.Anewestimatorforthedensityfunctionisproposedandcon- sistency of the proposed estimator is investigated. Simulations are drawn ...