On Bounds for the Concentration Function II

Jean-Marc Deshouillers, Gregory A. Freiman and Alexander A. Yudin
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Jean-Marc Deshouillers: Université Victor Segalen Bordeaux 2
Gregory A. Freiman: Tel Aviv University
Alexander A. Yudin: Vladimir Pedagogical University

Journal of Theoretical Probability, 2001, vol. 14, issue 3, 813-820

Abstract: Abstract We derive an upper bound for the concentration of the sum of i.i.d. random variables with values in $$\mathbb{Z}^d$$ by appealing to functions of positive type and the structure theory of set addition.

Keywords: random variables; concentration function; characteristic functions (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017501308452

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