N-distance tests of uniformity on the hypersphere

Abstract

In this paper we propose an application of N-distance theory for testing the hypothesis of uniformity on hypersphere S p − 1. The work is a continuation of our research started in [1, 2]. Particular attention is devoted to p = 2, 3 cases. A brief comparative Monte Carlo power study for proposed criteria is provided.

Keywords

• tests of uniformity
• N-distances