Italian Journal of Pure and Applied Mathematics, No (23), Year (2008-6) , Pages (221-228)

Title : WAVELET LINEAR DENSITY ESTIMATION FOR NEGATIVELY DEPENDENT RANDOM VARIABLES ( Nonparametric Estimation of the Derivative of Density by the Metod of Wavelets with Negatively Dependent Sequences )

Authors: Hassan Doosti ,
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Abstract

We propose a method of estimation of the derivatives of probability density based wavelets methods for a sequence of negatively dependent random variables with a common one-dimensional probability density function and obtain an upper bound on Lp-losses for the such estimators.

Keywords

, Negative dependence; Multiresolution analysis, Besov space, wavelets, nonparametric estimation of derivative of density.