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Concentration of Distributions of the Weighted Sums with Bernoullian Coefficients

  • S. G. BobkovEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1807)

Abstract

For non-correlated random variables, we study a concentration property of the distributions of the weighted sums with Bernoullian coefficients. The obtained result is used to derive an “almost surely version” of the central limit theorem.

Mathematics Subject Classification (2000):

46-06 46B07 52-06 60-06 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA

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