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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Order of magnitude of the concentration function
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by Peter Hall PDF
Proc. Amer. Math. Soc. 89 (1983), 141-144 Request permission

Abstract:

Suppose a sum of independent random variables, when scaled in a suitable way, is stochastically compact. It is proved that the precise order of magnitude of the concentration function of the sum equals the inverse of the scale factor.
References
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 141-144
  • MSC: Primary 60F99; Secondary 60E99, 60G50
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0706528-9
  • MathSciNet review: 706528