Power of tests of uniformity defined on the hypersphere

• Type: Article in International Scientific Journal
• Date: 2003

Authors

Adelaide Figueiredo (Author) FEP; Paulo Gomes (Author) Other

Journal

Title: Communications in Statistics Part B: Simulation and Computation

Vol. 32

Pages: 87-94

ISSN: 0361-0918

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 6 Citations

Scientific classification

CORDIS: Technological sciences

Other information

Authenticus ID: P-000-JBP

DOI: 10.1081/sac-120013113

Abstract (EN): In multivariate data with n individuals described by p variables it is usual to assume that the variables are fixed and the individuals are randomly selected; in the present study we assume that the individuals are fixed and the previously normalised variables are randomly selected from a population of variables. When we want to associate to the sample of variables a distribution, like the Bingham distribution, it is important to use beforehand a test of uniformity. In this article, we compare the power of Bingham and Gine tests of uniformity for some dimensions of the sphere, vs. a Bingham population or a mixture of Bingham populations.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8