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arxiv: 1701.01901 · v1 · pith:BCBB7TU4new · submitted 2017-01-08 · 🧮 math.FA

Relations between exponential tails, moments and moment generating functions for random variables and vectors

classification 🧮 math.FA
keywords exponentialfunctionsgeneratingmomentmomentsnormrandomvariables
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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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