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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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Monotonic approach to central limits
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by Jonathan M. Kane PDF
Proc. Amer. Math. Soc. 129 (2001), 2127-2133 Request permission

Abstract:

The approach to limits guaranteed by the Central Limit Theorem appears to be monotonic in many cases. A variety of empirical examples are discussed. Proofs are given for some special cases of the binomial, gamma, and Poisson distributions.
References
  • J. Chover, Recall via Transient Neuronal Firing, Neural Networks, 7 (1994), 233–250.
  • J. Chover, Neural Correlation via Random Connections, Neural Computation 8 #8, (1996), 1711–1729.
  • Kumar Jogdeo and S. M. Samuels, Monotone Convergence of Binomial Probabilities and a Generalization of Ramanujan’s Equation, Ann. Math. Stat. 39 (1968), 1191–1195.
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Additional Information
  • Jonathan M. Kane
  • Affiliation: Department of Mathematical and Computer Sciences, University of Wisconsin, Whitewater, 800 West Main Street, Whitewater, Wisconsin 53190-1790
  • Email: kanej@mail.uww.edu
  • Received by editor(s): May 24, 1999
  • Received by editor(s) in revised form: November 15, 1999
  • Published electronically: November 22, 2000
  • Communicated by: Wei-Yin Loh
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2127-2133
  • MSC (2000): Primary 62E20, 62F12, 62F05
  • DOI: https://doi.org/10.1090/S0002-9939-00-05776-2
  • MathSciNet review: 1825926