Uniform in number of neighbors consistency and weak convergence of kNN empirical conditional processes and kNN conditional U-processes involving functional mixing data

Uniform in number of neighbors consistency and weak convergence of kNN empirical conditional processes and kNN conditional U-processes involving functional mixing data

$ U $-statistics represent a fundamental class of statistics arising from modeling quantities of interest defined by multi-subject responses. $ U $-statistics generalize the empirical mean of a random variable $ X $ to sums over every $ m $-tuple of distinct observations of $ X $. Stute [182] int...

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Bibliographic Details
Main Authors: Salim Bouzebda, Amel Nezzal
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
conditional $ u $-statistic
functional data analysis
functional regression
kolmogorov's entropy
small ball probability
$ k $nn kernel-type estimators
empirical processes
$ u $-processes
weak convergence
vc-classes
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024218?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024218?viewType=HTML

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