On the almost sure behavior of sums of iid random variables in Hilbert space (Q1176368)

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scientific article; zbMATH DE number 14068
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On the almost sure behavior of sums of iid random variables in Hilbert space
scientific article; zbMATH DE number 14068

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    On the almost sure behavior of sums of iid random variables in Hilbert space (English)
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    25 June 1992
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    The author studies the upper and lower functions for the norm of sums of i.i.d. r.v.s taking values in a separable Hilbert space. The functions depend on the behaviour of the second moment of norm of the truncated summand, and on a structure of the covariance operator.
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    law of the iterated logarithm
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    lower and upper classes
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    Gaussian random variables in Hilbert space
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