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Multifold sumsets and fast decreasing of concentration functions

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  • Fainleib, A. S.

Abstract

The subject of this paper is a connection between the decreasing of concentration function of the sum of a growing number of independent random variables and the behaviour of the concentration function of the summands. The result is based on some metrical properties of k-fold sumsets for large k.

Suggested Citation

  • Fainleib, A. S., 2001. "Multifold sumsets and fast decreasing of concentration functions," Statistics & Probability Letters, Elsevier, vol. 51(4), pages 415-421, February.
    • Handle: RePEc:eee:stapro:v:51:y:2001:i:4:p:415-421
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