Functional central limit theorems for $U$-statistics of beta-mixing data

Fuente: arXiv
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Main Author: Giraudo, Davide
Format: Preprint
Published: 2026
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author Giraudo, Davide
author_facet Giraudo, Davide
contents We investigate the convergence of partial sum processes based on a strictly stationary $β$-mixing sequence of random variables. The convergence in the space of continuous function as well as in H{ö}lder spaces is considered. The conditions are close to optimality.
format Preprint
id arxiv_https___arxiv_org_abs_2605_30999
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Functional central limit theorems for $U$-statistics of beta-mixing data
Giraudo, Davide
Probability
Statistics Theory
We investigate the convergence of partial sum processes based on a strictly stationary $β$-mixing sequence of random variables. The convergence in the space of continuous function as well as in H{ö}lder spaces is considered. The conditions are close to optimality.
title Functional central limit theorems for $U$-statistics of beta-mixing data
topic Probability
Statistics Theory
url https://arxiv.org/abs/2605.30999