A Cram��r-von Mises test of uniformity on the hypersphere

Autor:	Garc��a-Portugu��s, Eduardo, Navarro-Esteban, Paula, Cuesta-Albertos, Juan A.
Rok vydání:	2020
Předmět:	Methodology (stat.ME) FOS: Computer and information sciences 62H11 62H15
DOI:	10.48550/arxiv.2008.10767
Popis:	Testing uniformity of a sample supported on the hypersphere is one of the first steps when analysing multivariate data for which only the directions (and not the magnitudes) are of interest. In this work, a projection-based Cram��r-von Mises test of uniformity on the hypersphere is introduced. This test can be regarded as an extension of the well-known Watson test of circular uniformity to the hypersphere. The null asymptotic distribution of the test statistic is obtained and, via numerical experiments, shown to be tractable and practical. A novel study on the uniformity of the distribution of craters on Venus illustrates the usage of the test. 8 pages, 2 figures, 1 table
Databáze:	OpenAIRE
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