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

Toshiya Iwashita, Bernhard Klar, Moe Amagai and Hiroki Hashiguchi

Statistics & Probability Letters, 2017, vol. 128, issue C, 89-96

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: Anderson–Darling test; Goodness of fit test; Kolmogorov–Smirnov test; Spherical distribution; Stiefel manifold; Uniform distribution (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.04.027

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