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Mesures majorantes et loi du logarithme itéré pour les variables aléatoires sous-gaussiennes

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Abstract

It is shown that for the elements X of a large class of subgaussian random variables with values in (C(S), ·[infinity]) the existence of a probability measure [lambda] on S such that: (where [psi] denotes the inverse function of x --> exp x2L2x) is sufficient to imply that X satisfies the law of the iterated logarithm.

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