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Weak-convergence of empirical conditional processes and conditional U-processes involving functional mixing data
S Bouzebda, B Nemouchi - Statistical Inference for Stochastic Processes, 2023 - Springer
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 …
interest defined by multi-subject responses. U-statistics generalize the empirical mean of a …
Weak convergence of the conditional U-statistics for locally stationary functional time series
I Soukarieh, S Bouzebda - Statistical Inference for Stochastic Processes, 2024 - Springer
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 …
more complicated: it is often unclear how to set down a meaningful asymptotic for non …
Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional U-statistics involving functional data
S Bouzebda, A Nezzal - Japanese Journal of Statistics and Data Science, 2022 - Springer
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 …
interest defined by multi-subject responses. U-statistics generalize the empirical mean of a …
On the variable bandwidth kernel estimation of conditional U-statistics at optimal rates in sup-norm
S Bouzebda, N Taachouche - Physica A: Statistical Mechanics and its …, 2023 - Elsevier
U-statistics represent a fundamental class of statistics from modeling quantities of interest
defined by multi-subject responses. U-statistics generalize the empirical mean of a random …
defined by multi-subject responses. U-statistics generalize the empirical mean of a random …
[HTML][HTML] Uniform in number of neighbors consistency and weak convergence of NN empirical conditional processes and NN conditional -processes involving …
S Bouzebda, A Nezzal - AIMS Mathematics, 2024 - aimspress.com
$ 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 …
interest defined by multi-subject responses. $ U $-statistics generalize the empirical mean of …
Uniform consistency and uniform in bandwidth consistency for nonparametric regression estimates and conditional U-statistics involving functional data
S Bouzebda, B Nemouchi - Journal of Nonparametric Statistics, 2020 - Taylor & Francis
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 …
called conditional U-statistics, which may be viewed as a generalisation of the Nadaraya …
[PDF][PDF] On the weak convergence and the uniform-in-bandwidth consistency of the general conditional U-processes based on the copula representation: multivariate …
S Bouzebda - Hacettepe Journal of Mathematics and Statistics, 2023 - dergipark.org.tr
U-statistics represent a fundamental class of statistics from modeling quantities of interest
defined by multi-subject responses. U-statistics generalise the empirical mean of a random …
defined by multi-subject responses. U-statistics generalise the empirical mean of a random …
Non-Parametric Conditional U-Processes for Locally Stationary Functional Random Fields under Stochastic Sampling Design
S Bouzebda, I Soukarieh - Mathematics, 2022 - mdpi.com
Stute presented the so-called conditional U-statistics generalizing the Nadaraya–Watson
estimates of the regression function. Stute demonstrated their pointwise consistency and the …
estimates of the regression function. Stute demonstrated their pointwise consistency and the …
Rates of the Strong Uniform Consistency with Rates for Conditional U-Statistics Estimators with General Kernels on Manifolds
S Bouzebda, N Taachouche - Mathematical Methods of Statistics, 2024 - Springer
statistics represent a fundamental class of statistics from modeling quantities of interest
defined by multi-subject responses.-statistics generalize the empirical mean of a random …
defined by multi-subject responses.-statistics generalize the empirical mean of a random …
Limit Theorems in the Nonparametric Conditional Single-Index U-Processes for Locally Stationary Functional Random Fields under Stochastic Sampling Design
S Bouzebda - Mathematics, 2024 - mdpi.com
In his work published in (Ann. Probab. 19, No. 2 (1991), 812–825), W. Stute introduced the
notion of conditional U-statistics, expanding upon the Nadaraya–Watson estimates used for …
notion of conditional U-statistics, expanding upon the Nadaraya–Watson estimates used for …