Geodesic Normal distribution on the circle

Details Geodesic Normal distribution on the circle Geodesic Normal distribution on the circle

2010-12-20

arxiv.org/abs/1012.4361v2

Metrika (2012) \`a para\^itre. version online 2011

Mathematics

Statistics Theory

Scientific paper

10.1007/s00184-011-0363-7

This paper is concerned with the study of a circular random distribution called geodesic Normal distribution recently proposed for general manifolds. This distribution, parameterized by two real numbers associated to some specific location and dispersion concepts, looks like a standard Gaussian on the real line except that the support of this variable is $[0,2\pi)$ and that the Euclidean distance is replaced by the geodesic distance on the circle. Some properties are studied and comparisons with the von Mises distribution in terms of intrinsic and extrinsic means and variances are provided. Finally, the problem of estimating the parameters through the maximum likelihood method is investigated and illustrated with some simulations.

Affiliated with

Also associated with

No associations

Rating

Geodesic Normal distribution on the circle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geodesic Normal distribution on the circle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geodesic Normal distribution on the circle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454402