Geodesic
Strassen's law of the iterated logarithm
Annales de l'Institut Fourier, Tome 24 (1974) no. 2, pp. 169-177.

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Strassen’s functional form of the law of the iterated logarithm is formulated for partial sums of random variables with values in a strict inductive limit of Frechet spaces of Hilbert space type. The proof depends on obtaining Berry-Essen estimates for Hilbert space valued random variables.

Il s’agit d’établir la forme fonctionnelle de Strassen de la loi du logarithme itéré pour les sommes partielles de variables aléatoires à valeurs dans la limite inductive stricte d’espaces de Fréchet, qui sont de type d’espace d’Hilbert. La démonstration dépend de l’obtention des estimations de Barry-Esssen pour les variables aléatoires à valeurs dans un espace d’Hilbert.

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Kuelbs, James D. Strassen's law of the iterated logarithm. Annales de l'Institut Fourier, Tome 24 (1974) no. 2, pp. 169-177. doi : 10.5802/aif.510. http://geodesic.mathdoc.fr/articles/10.5802/aif.510/

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