Test for rotational symmetry of data from the Watson distribution defined on the hypersphere

• Type: Article in International Scientific Journal
• Date: 2004

Authors

Adelaide Figueiredo (Author) FEP

Journal

Title: Communications in Statistics Part B: Simulation and Computation

Vol. 33 No. 4

Pages: 937-943

ISSN: 0361-0918

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Natural sciences

Other information

Authenticus ID: P-000-CFB

DOI: 10.1081/sac-200040307

Abstract (EN): The Watson distribution defined on the hypersphere is much used for modeling axial data. This distribution is rotationally symmetric about the modal axis. Then, in practice, before using the Watson distribution for modeling our data, it is better to test the hypothesis of rotational symmetry. For this purpose, we consider the test given by Prentice. In this paper, we determine the empirical power of this test, when data come from a Watson distribution vs. the alternative, where data come from a mixture of two Watson distributions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7