M. B. Khripunova, A. A. Yudin, “Estimate of the Concentration Function for a Class of Additive Functions”, Mat. Zametki, 2007, Volume 82, Issue 4,Pages <nobr>598

This article is cited in 1 paper

Estimate of the Concentration Function for a Class of Additive Functions

M. B. Khripunova^a, A. A. Yudin^b

^a Russian Correspondence Financial - Economical Institute, Vladimir Branch
^b Vladimir State Pedagogical University

Abstract: We show how methods for estimating the concentration function of the sum of independent random variables can be used to obtain estimates of the concentration function for the values of additive functions under suitable conditions. Previously obtained estimates of the concentration function are consequences of the estimate obtained in the present paper for functions from of the class under consideration.

Keywords: arithmetic additive function, concentration function, Sylvester's criterion, characteristic function, measure, Euler gamma function, random variable.

UDC: 511

Received: 26.12.2005
Revised: 04.04.2007

DOI: 10.4213/mzm3857