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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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Discrete approximation of integral operators
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by Carsten Franz PDF
Proc. Amer. Math. Soc. 134 (2006), 2437-2446 Request permission

Abstract:

A method to approximate the eigenvalues of linear operators depending on an unknown distribution is introduced and applied to weighted sums of squared normally distributed random variables. This area of application includes the approximation of the asymptotic null distribution of certain degenerated U- and V-statistics.
References
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Additional Information
  • Carsten Franz
  • Affiliation: Institut für Mathematische Stochastik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
  • Email: carsten.franz@gmail.com
  • Received by editor(s): March 9, 2005
  • Published electronically: February 6, 2006
  • Communicated by: Edward C. Waymire
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 2437-2446
  • MSC (2000): Primary 62G20, 45C05
  • DOI: https://doi.org/10.1090/S0002-9939-06-08324-9
  • MathSciNet review: 2213718