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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Discrete approximation of integral operators


Author: Carsten Franz
Journal: Proc. Amer. Math. Soc. 134 (2006), 2437-2446
MSC (2000): Primary 62G20, 45C05
Published electronically: February 6, 2006
MathSciNet review: 2213718
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08324-9
PII: S 0002-9939(06)08324-9
Keywords: Linear operators, approximation of eigenvalues, asymptotic null distribution of degenerated U-statistics
Received by editor(s): March 9, 2005
Published electronically: February 6, 2006
Communicated by: Edward C. Waymire
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.