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Strassen's law of the iterated logarithm

James D. Kuelbs — 1974

Annales de l'institut Fourier

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.

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