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

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.

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Podrobná bibliografie
Vydáno v:	Statistics & probability letters Ročník 128; s. 89 - 96
Hlavní autoři:	Iwashita, Toshiya, Klar, Bernhard, Amagai, Moe, Hashiguchi, Hiroki
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier B.V 01.09.2017
Témata:	Anderson–Darling test Goodness of fit test Kolmogorov–Smirnov test Spherical distribution Stiefel manifold Uniform distribution secondary Spherical distribution Uniform distribution Goodness of fit test Stiefel manifold Kolmogorov–Smirnov test Anderson–Darling test primary
ISSN:	0167-7152, 1879-2103
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
ISSN:	0167-7152 1879-2103
DOI:	10.1016/j.spl.2017.04.027