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.
Supported by an NSF grant and EPSRC Visiting Fellowship.
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© 2003 Springer-Verlag Berlin/Heidelberg
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Bobkov, S.G. (2003). Concentration of Distributions of the Weighted Sums with Bernoullian Coefficients. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1807. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36428-3_3
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DOI: https://doi.org/10.1007/978-3-540-36428-3_3
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