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

作者：Lwashita Toshiya^*; Klar Bernhard; Amagai Moe; Hashiguchi Hiroki

来源：Statistics & Probability Letters, 2017, 128: 89-96.

DOI：10.1016/j.spl.2017.04.027

• Anderson-Darling test
• Goodness of fit test
• Kolmogorov-Smirnov test
• Spherical distribution
• Stiefel manifold
• Uniform distribution

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.

• 出版日期2017-9