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20052022
most citedThe entropy per coordinate of a random vector is highly constrained under convexity conditions

84 citations · 508 across the 36 of their papers we have counts for

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Showing 2017 · math.PRShow all

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math.PR2017

Berry-Esseen Bounds for typical weighted sums

Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze

Under correlation-type conditions, we derive upper bounds of order for the Kolmogorov distance between the distributions of weighted sums of dependent summands…

math.PR2017★ 11 cited

Higher Order Concentration of Measure

Sergey G. Bobkov, Friedrich Götze, Holger Sambale

We study sharpened forms of the concentration of measure phenomenon typically centered at stochastic expansions of order for any . The bounds are based on $…

math.PR2017

Central limit theorem and Diophantine approximations

Sergey G. Bobkov

Let denote the distribution function of the normalized sum of i.i.d. random variables with finite fourth absolute moment. In this paper,…