Bounds on the Maximum of the Density for Sums of Independent Random Variables

S. G. Bobkov; G. P. Chistyakov

doi:10.1007/s10958-014-1836-9

Bounds on the Maximum of the Density for Sums of Independent Random Variables

S. G. Bobkov, G. P. Chistyakov

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 summands.

Original language	English (US)
Pages (from-to)	100-106
Number of pages	7
Journal	Journal of Mathematical Sciences (United States)
Volume	199
Issue number	2
DOIs	https://doi.org/10.1007/s10958-014-1836-9
State	Published - Jun 2014

Bibliographical note

Funding Information:
The first author’s work is supported by the NSF and Simons Foundation. The second author’s work is supported by SFB-701 of the Bielefeld University.

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Bounds on the Maximum of the Density for Sums of Independent Random Variables

Abstract

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