Article ID Journal Published Year Pages File Type
1154509 Statistics & Probability Letters 2007 10 Pages PDF
Abstract

We show that the Watson and Cramér–von Mises statistics are related to Green's function of the Laplacian on a circle. A generalization leads to a new U-statistic whose kernel is the Green function of the Laplacian on the sphere.

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Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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UU-statistics based on the Green's function of the Laplacian on the circle and the sphere
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