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

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  • Giraudo, Davide

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.

Suggested Citation

  • Giraudo, Davide, 2024. "Some notes on ergodic theorem for U-statistics of order m for stationary and not necessarily ergodic sequences," Statistics & Probability Letters, Elsevier, vol. 210(C).
    • Handle: RePEc:eee:stapro:v:210:y:2024:i:c:s0167715224000865
    DOI: 10.1016/j.spl.2024.110117
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