Discriminant analysis based on the Watson distribution defined on the hypersphere

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Adelaide Figueiredo (Author) FEP; Gomes, P (Author) Other

Journal

Title: Statistics

Vol. 40 No. 5

Pages: 435-445

ISSN: 0233-1888

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 8 Citations

Scopus - 8 Citations

Scientific classification

CORDIS: Technological sciences

Other information

Authenticus ID: P-004-H3E

DOI: 10.1080/02331880600766662

Abstract (EN): The Watson distribution defined on the hypersphere is one of the most used distributions for modelling axial data. In this paper, we consider the discriminant analysis for axial data assumed to come from a mixture of Watson distributions defined on the hypersphere. We develop an optimal classification rule, which enables us to assign a new observation into one of several Watson subpopulations defined on the hypersphere. As the probabilities of misclassification cannot be calculated in closed form, we report on a simulation study to estimate, in some cases, the probabilities of misclassification and a distance between the two Watson subpopulations defined on the hypersphere. An illustration of our approach is provided using data defined on the sphere given in the literature.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11