This article is cited in 5 papers

A property of logarithmically concave sequences

O. P. Vinogradov

M. V. Lomonosov Moscow State University

Abstract: It is shown that the class of logarithmically concave sequences is closed relative to an operation which is a generalization of the convolution of two sequences. As a consequence, we give a new proof of the fact that in the discrete, as well as in the continuous case, the sum of independent random variables, having a growing distribution, also has a growing distribution.

UDC: 519.2

Received: 22.05.1974

 English version: Mathematical Notes, 1975, 18:3, 865–868

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