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Von Mises distribution

From Encyclopedia of Mathematics
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circular normal distribution

A unimodal probability distribution on the circle with probability density $$ p(\theta) = \frac{1}{2\pi I_0(\kappa)} \exp(\kappa \cos(\phi-\theta_1)) $$ with two parameters, $\kappa$ and $\theta_1$. This function takes its maximum value at $\phi = \theta_1$, so that $\theta_1$ is the mode; $\kappa$ is a concentration parameter.

The von Mises distribution is commonly used in the statistical analysis of directions.

How to Cite This Entry:
Von Mises distribution. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Von_Mises_distribution&oldid=11488
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article