3 papers
math.DS2024
What can be the limit in the CLT for a field of martingale differences?
Davide Giraudo, Emmanuel Lesigne, Dalibor Volny
The now classical convergence in distribution theorem for well normalized sums ofstationary martingale increments has been extended to multi-indexed martingaleincrements (see Volný…
math.PR2024
Weak and strong law of large numbers for strictly stationary Banach-valued random fields
Davide Giraudo
In this paper, we investigate the law of large numbers for strictly stationary random fields, that is, we provide sufficient conditions on the moments and the dependence of the ran…
math.PR2023
Functional central limit theorem and Marcinkiewicz strong law of large numbers for Hilbert-valued U-statistics of absolutely regular data
Davide Giraudo
In this paper, we investigate the functional central limit theorem and the Marcinkiewicz strong law of large numbers for U-statistics having absolutely regular data and taking valu…