Discriminant Analysis for the von Mises-Fisher Distribution

• Type: Article in International Scientific Journal
• Date: 2009

Authors

Adelaide Figueiredo (Author) FEP

Journal

Title: Communications in Statistics Part B: Simulation and Computation

Vol. 38

Pages: 1991-2003

ISSN: 0361-0918

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 9 Citations

ISI Web of Science

Scopus - 10 Citations

Scientific classification

FOS: Natural sciences

Other information

Authenticus ID: P-003-PFD

DOI: 10.1080/03610910903200281

Abstract (EN): The von Mises-Fisher distribution is widely used for modeling directional data. In this article, we derive the discriminant rules based on this distribution to assign objects into pre-existing classes. We determine a distance between two von Mises-Fisher populations and we calculate estimates of the misclassification probabilities. We also analyze the behavior of the distance between two von Mises-Fisher populations and of the estimates of the misclassification probabilities when we modify the parameters of the populations or the samples size or the dimension of the sphere. Finally, we present an example with real spherical data available in the literature.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13