S. G. Bobkov, G. P. Chistyakov, “Bounds on the maximum of the density for sums of independent random variables”, Zap. Nauchn. Sem. POMI, 2012, Volume 408,Pages <nobr>62

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Bounds on the maximum of the density for sums of independent random variables

S. G. Bobkov^a, G. P. Chistyakov^b

^a School of Mathematics, University of Minnesota, Minneapolis, MN, USA
^b Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Deutschland

Abstract: Sublinear bounds on the maximum of the density for sums of independent random variables are given in terms of the maxima of the densities of the summands.

Key words and phrases: sums of independent random variables, maximum of the density.

UDC: 519.2

Received: 15.10.2012