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- ISIDORE Id: 10670/1.9d40b8...
- hal: hal-04430986
- ARXIV: 2111.10317
- doi: 10.1016/j.spl.2022.109536
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info:eu-repo/semantics/altIdentifier/arxiv/2111.10317
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info:eu-repo/semantics/altIdentifier/doi/10.1016/j.spl.2022.109536
info:eu-repo/semantics/OpenAccess
Mots-clés
exchangeable arrays Marcinkiewicz-Zygmund law of large numbers law of iterated logarithm exchangeable arrays Marcinkiewicz-Zygmund law of large numbers law of iterated logarithmSujets proches
Numbers, Large Large numbers, Law ofCiter ce document
Laurent Davezies et al., « The Marcinkiewicz–Zygmund law of large numbers for exchangeable arrays », HAL SHS (Sciences de l’Homme et de la Société), ID : 10.1016/j.spl.2022.109536
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Résumé
We show a Marcinkiewicz-Zygmund law of large numbers for jointly, dissociated exchangeable arrays, in L r (r ∈ (0, 2)) and almost surely. Then, we obtain a law of iterated logarithm for such arrays under a weaker moment condition than the existing one.
