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