Implementation of Kent (1982) and Bingham-Mardia (1978) distributions on a sphere
Project description
sphere
Implments the FB8 distribution on a sphere, which is a generalization of the FB6, FB5 (Kent), and FB4 (Bingham-Mardia) distributions described below.
Implements the FB6 distribution that is first introduced in Rivest (1984).
Implements calculation of the density and fitting (using maximum likelihood estimate) of the Kent distribution based on Kent (1982). A unittest is performed if distribution.py is called from the command line.
Implements the Bingham-Mardia distribution whose mode is a small-circle on the sphere based on Bingham, Mardia (1978).
Also calculates directional, percentile contours which can be used to indicate the N% highest-posterior-density regions in the sky.
Additional references
Kent, Hussein, Jah, Directional distributions in tracking of space debris
Terdik, Jammalamadaka, Wainwright, Simulation and visualization of spherical distributions
Mardia, Jupp, Directional statistics
Contributors
This project was originally developed for the FB5 (Kent) distribution here.
Tianlu Yuan
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