The Marcinkiewicz-Zygmund law of large numbers for exchangeable arrays

11/19/2021

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by   Laurent Davezies, et al.

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We show a Marcinkiewicz-Zygmund law of large numbers for jointly and dissociated exchangeable arrays. The result holds both in L^r (r∈ (0,2)) and almost surely. As a result, we obtain a law of iterated logarithm for such arrays under a weaker moment condition than the existing one.