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Matematicheskie Zametki, 2007, Volume 82, Issue 4, Pages 598–605
DOI: https://doi.org/10.4213/mzm3857 (Mi mzm3857) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Estimate of the Concentration Function for a Class of Additive Functions

M. B. Khripunovaa, A. A. Yudinb

a Russian Correspondence Financial - Economical Institute, Vladimir Branch
b Vladimir State Pedagogical University
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DOI: https://doi.org/10.4213/mzm3857
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.
Received: 26.12.2005
Revised: 04.04.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 4, Pages 535–541
DOI: https://doi.org/10.1134/S0001434607090301
Bibliographic databases:
UDC: 511
Language: Russian
Citation: M. B. Khripunova, A. A. Yudin, “Estimate of the Concentration Function for a Class of Additive Functions”, Mat. Zametki, 82:4 (2007), 598–605; Math. Notes, 82:4 (2007), 535–541
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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