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Discrete approximation of integral operators
Authors:Carsten Franz
Institution:Institut für Mathematische Stochastik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
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.

Keywords:Linear operators  approximation of eigenvalues  asymptotic null distribution of degenerated U-statistics
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