Some notes on ergodic theorem for U-statistics of order m for stationary and not necessarily ergodic sequences

Davide Giraudo

Statistics & Probability Letters, 2024, vol. 210, issue C

Abstract: In this note, we give sufficient conditions for the almost sure and the convergence in Lp of a U-statistic of order m built on a strictly stationary but not necessarily ergodic sequence.

Keywords: U-statistics; Ergodic theorem; Stationary sequences (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110117

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