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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…
math.PR2023★ 1 cited
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…