Properties and applications of Fisher distribution on the rotation group

Details Properties and applications of Fisher distribution on the rotation group Properties and applications of Fisher distribution on the rotation group

2011-10-04

arxiv.org/abs/1110.0721v1

Statistics

Methodology

22 pages, 4 figures

Scientific paper

We study properties of Fisher distribution (von Mises-Fisher distribution, matrix Langevin distribution) on the rotation group SO(3). In particular we apply the holonomic gradient descent, introduced by Nakayama et al. (2011), and a method of series expansion for evaluating the normalizing constant of the distribution and for computing the maximum likelihood estimate. The rotation group can be identified with the Stiefel manifold of two orthonormal vectors. Therefore from the viewpoint of statistical modeling, it is of interest to compare Fisher distributions on these manifolds. We illustrate the difference with an example of near-earth objects data.

Affiliated with

Also associated with

No associations

Rating

Properties and applications of Fisher distribution on the rotation group 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 Properties and applications of Fisher distribution on the rotation group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Properties and applications of Fisher distribution on the rotation group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-268707