3 papers
math.PR2026
Functional central limit theorems for -statistics of beta-mixing data
Davide Giraudo
We investigate the convergence of partial sum processes based on a strictly stationary -mixing sequence of random variables. The convergence in the space of continuous function…
math.PR2024
An exponential inequality for Hilbert-valued U-statistics of i.i.d. data
Davide Giraudo
In this paper, we establish an exponential inequality for U-statistics of i.i.d. data, varying kernel and taking values in a separable Hilbert space. The bound are expressed as a s…
math.PR2024
Deviation and moment inequalities for Banach-valued -statistics
Davide Giraudo
We show a deviation inequality for U-statistics of independent data taking values in a separable Banach space which satisfies some smoothness assumptions. We then provide applicati…