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Relations between exponential tails, moments and moment generating functions for random variables and vectors (1701.01901v1)

Published 8 Jan 2017 in math.FA

Abstract: We offer in this paper the non-asymptotical pairwise bilateral exact up to multiplicative constants interrelations between exponential decreasing tail behavior, moments (Grand Lebesgue Spaces) norm and moment generating functions norm for random variables and vectors (r.v.).

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