Recent advances in functional data analysis and high-dimensional statistics - ScienceDirect
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Nonparametric functional data analysis is a field whose development started some 15 years
ago and there is a very extensive literature on the topic (hundreds of papers published now) …

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 …

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 …

In recent years, the direction has turned to non-stationary time series. Here the situation is
more complicated: it is often unclear how to set down a meaningful asymptotic for non …

This paper aims to present the various contributions to the Special Issue of the Journal of
Multivariate Analysis on Functional Data Analysis and some related topics including High …

Kernel nearest-neighbor (k NN) estimators are introduced for the nonparametric analysis of
statistical samples involving functional data. Asymptotic theory is provided for several …

Stute presented the so-called conditional U-statistics generalizing the Nadaraya–Watson
estimates of the regression function. Stute demonstrated their pointwise consistency and the …

ABSTRACT W. Stute [(1991), Annals of Probability, 19, 812–825] introduced a class of so-
called conditional U-statistics, which may be viewed as a generalisation of the Nadaraya …

U-statistics are a fundamental class of statistics derived from modeling quantities of interest
characterized by responses from multiple subjects. U-statistics make generalizations the …