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

Davide Giraudo

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arXiv · 2605.30999

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

Davide Giraudo

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Abstract

We investigate the convergence of partial sum processes based on a strictly stationary $\beta$-mixing sequence of random variables. The convergence in the space of continuous function as well as in H{\"o}lder spaces is considered. The conditions are close to optimality.

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Davide Giraudo. 2026-05-29. Functional central limit theorems for $U$-statistics of beta-mixing data. https://arxiv.org/abs/2605.30999

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