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Distributions on the circle and sphere

Published online by Cambridge University Press:  14 July 2016

Geoffrey S. Watson
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Abstract

A survey is made of the mathematical properties of, and the arithmetic relationships between, various distributions on the circle and the sphere. The Brownian motion and angular Gaussian distributions are shown in computer-drawn graphs to bracket the von Mises–Fisher distributions.

Keywords

CIRCULAR DISTRIBUTIONSPHERICAL DISTRIBUTIONFISHER DISTRIBUTIONVON MISES DISTRIBUTIONLACK DISTRIBUTIONBROWNIAN MOTIONANGULAR GAUSSIAN DISTRIBUTIONARITHMETIC AND GRAPHICAL COMPARISONS
Type
Part 5 — Statistical Theory
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 265 - 280
Copyright
Copyright © 1982 Applied Probability Trust 

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