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Some Comments on Deviation Inequalities for Infinitely Divisible Random Vectors
Authors:Paulauskas  V
Institution:(1) Vilnius University, Naugarduko 24, LT-2600 Vilnius;(2) Institute of Mathematics and Informatics, Akademijos 4, LT-2021 Vilnius, Lithuania
Abstract:In this paper, we consider deviation inequalities for infinitely divisible random vectors in R k and infinite-dimensional spaces l p, 1le ple infin We compare the results obtained using the covariance representation for infinitely divisible random vectors with the well-known Talagrand's result on measure concentration phenomenon.
Keywords:deviation inequalities  infinitely divisible random vectors  measure concentration
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