3 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…
Some notes on ergodic theorem for -statistics of order for stationary and not necessarily ergodic sequences
Davide Giraudo
In this note, we give sufficient conditions for the almost sure and the convergence in of a -statistic of order built on a strictly stationary but not necessa…
A counter example to central limit theorem in Hilbert spaces under a strong mixing condition
Davide Giraudo, Dalibor Volný
We show that in a separable infinite dimensional Hilbert space, uniform integrability of the square of the norm of normalized partial sums of a strictly stationary sequence, togeth…