Cover Image

Asymptotic Normality of $U$-Statistics is Equivalent to Convergence in the Wasserstein Distance

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kroll, Marius
Format:	Preprint
Published:	2024
Subjects:	Statistics Theory Primary: 60F05, 60F25. Secondary: 60G50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Asymptotically optimal Wasserstein couplings for the small-time stable domain of attraction
by: Cázares, Jorge González, et al.
Published: (2024)

Classical and Almost Sure Local Limit Theorems
by: Szewczak, Zbigniew, et al.
Published: (2022)

A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables
by: Weber, Michel J. G.
Published: (2022)

On Rozanov's Theorem and strenghtened asymptotic uniform distribution
by: Weber, Michel J. G.
Published: (2022)

Right-Most Position of a Last Progeny Modified Branching Random Walk
by: Bandyopadhyay, Antar, et al.
Published: (2021)

On Mukhin's necessary and sufficient condition for the validity of the local limit theorem
by: Weber, Michel J. G.
Published: (2022)

Gaussian heat kernel asymptotics for conditioned random walks
by: Grama, Ion, et al.
Published: (2024)

Superdiffusive planar random walks with polynomial space-time drifts
by: da Costa, Conrado, et al.
Published: (2024)

A Bootstrap Test for Independence of Time Series Based on the Distance Covariance
by: Betken, Annika, et al.
Published: (2021)

Box-Covariances of Hyperuniform Point Processes
by: Jalowy, Jonas, et al.
Published: (2025)

Some results on probabilities of moderate deviations
by: Li, Deli, et al.
Published: (2022)

Branching Processes in Random Environments with Thresholds
by: Francisci, Giacomo, et al.
Published: (2022)

Nonlinear semigroups and limit theorems for convex expectations
by: Blessing, Jonas, et al.
Published: (2022)

Asymptotic Properties of Generalized Elephant Random Walks
by: Maulik, Krishanu, et al.
Published: (2024)

Maximum interpoint distance of high-dimensional random vectors
by: Heiny, Johannes, et al.
Published: (2023)

On the asymptotic normality of persistent Betti numbers
by: Krebs, Johannes, et al.
Published: (2019)

Empirical Convergence of Even-Order Gromov-Wasserstein Functionals
by: Paliy, Vasyl
Published: (2026)

Ties, Tails and Spectra: On Rank-Based Dependency Measures in High Dimensions
by: Dörnemann, Nina, et al.
Published: (2025)

Supremum penalizations for Lévy processes
by: Takeda, Shosei
Published: (2025)

Characterizing the asymptotic and catalytic stochastic orders on topological abelian groups
by: Fritz, Tobias
Published: (2020)

On the multidimensional elephant random walk with stops
by: Bercu, Bernard
Published: (2025)

Convergence rate of the occupation measure of classes of ergodic processes toward their invariant distribution in mean Wasserstein distance
by: Pagès, Gilles, et al.
Published: (2026)

Functional limit laws for the intensity measure of point processes and applications
by: Francisci, Giacomo, et al.
Published: (2024)

Stable central limit theorems for discrete-time lag martingale difference arrays
by: Dempsey, Walter, et al.
Published: (2025)

A law of large numbers for predicting several steps ahead
by: Vovk, Vladimir
Published: (2025)

Sample path behaviors of Lévy processes conditioned to avoid zero
by: Takeda, Shosei
Published: (2022)

Layered Hill estimator for extreme data in clusters
by: Kang, Taegyu, et al.
Published: (2024)

Rates of convergence for multivariate SDEs driven by Lévy processes in the small-time stable domain of attraction
by: Cázares, Jorge González, et al.
Published: (2025)

A Dimension-Independent Bound on the Wasserstein Contraction Rate of a Geodesic Random Walk on the Sphere
by: Schär, Philip, et al.
Published: (2023)

A Framework for Blockchain Architecture Design
by: Dey, Partha S., et al.
Published: (2022)

Phase Transitions for Elephant Random Walks with Two memory Channels
by: Maulik, Krishanu, et al.
Published: (2025)

Precise asymptotics for the norm of large random rectangular Toeplitz matrices
by: Onatski, Alexei
Published: (2025)

On the Golomb-Dickman constant under Ewens sampling
by: Mendonça, José Ricardo G., et al.
Published: (2026)

Orderly divergence of Levy Gamma integrals
by: Szulga, Jerzy
Published: (2024)

On the large-time behaviour of affine Volterra processes
by: Jacquier, Antoine, et al.
Published: (2022)

On the probability of n equidistant points in high-dimensional lattices
by: Gerdjikov, Stefan, et al.
Published: (2025)

Large deviation probabilities for sums of censored random variables with regularly varying distribution tails
by: Chong, Aaron, et al.
Published: (2025)

Expansions for random walks conditioned to stay positive
by: Denisov, Denis, et al.
Published: (2024)

Berry-Esseen inequality for random walks conditioned to stay positive
by: Denisov, Denis, et al.
Published: (2024)

Limit theorems and lack thereof for a multilayer random walk mimicking human mobility
by: Bianchi, Alessandra, et al.
Published: (2025)