The Wrapped t Family Of Circular Distributions

The Wrapped t Family Of Circular Distributions

0.00 Avg rating0 Votes
Article ID: iaor201113255
Volume: 49
Issue: 1
Start Page Number: 79
End Page Number: 91
Publication Date: Mar 2007
Journal: Australian & New Zealand Journal of Statistics
Authors: , ,
Keywords: distribution fitting
Abstract:

This paper considers the three-parameter family of symmetric unimodal distributions obtained by wrapping the location-scale extension of Student's t distribution onto the unit circle. The family contains the wrapped normal and wrapped Cauchy distributions as special cases, and can be used to closely approximate the von Mises distribution. In general, the density of the family can only be represented in terms of an infinite summation, but its trigonometric moments are relatively simple expressions involving modified Bessel functions. Point estimation of the parameters is considered, and likelihood-based methods are used to fit the family of distributions in an illustrative analysis of cross-bed measurements. The use of the family as a means of approximating the von Mises distribution is investigated in detail, and new efficient algorithms are proposed for the generation of approximate pseudo-random von Mises variates.

Reviews

Required fields are marked *. Your email address will not be published.