Limit theorems for nonparametric conditional U-statistics smoothed by asymmetric kernels

$ U $-statistics represent a fundamental class of statistics used to model quantities derived from responses of multiple subjects. These statistics extend the concept of the empirical mean of a $ d $-variate random variable $ X $ by considering sums over all distinct $ m $-tuples of observations of...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Salim Bouzebda, Amel Nezzal, Issam Elhattab
Format:	Article
Language:	English
Published:	AIMS Press 2024-09-01
Subjects:	asymmetric kernels asymptotic normality beta kernel bernstein kernels boundary bias conditional $ u $-statistics dirichlet kernel nonparametric regression estimation rates of convergence strong convergence
Online Access:	https://aimspress.com/article/doi/10.3934/math.20241280?viewType=HTML