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A test procedure for uniformity on the Stiefel manifold based on projection

Article ID Journal Published Year Pages File Type
5129773 Statistics & Probability Letters 2017 8 Pages PDF
Abstract

This paper proposes a new procedure to test uniformity on the Stiefel manifold. The theoretical analysis of the test procedure, and numerical experiments are conducted to illustrate the usage and the efficiencies through the power under alternative hypotheses.

Keywords
62H1562H11Stiefel manifoldKolmogorov–Smirnov testprimarySpherical distributionUniform distributionsecondaryGoodness of fit test
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
A test procedure for uniformity on the Stiefel manifold based on projection
Authors
Toshiya Iwashita, Bernhard Klar, Moe Amagai, Hiroki Hashiguchi,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
Related Categories
62H15
62H11
Stiefel manifold
Kolmogorov–Smirnov test
primary
Spherical distribution
Uniform distribution
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Goodness of fit test
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