In probability theory and directional statistics, the von Mises distribution (also known as the circular normal distribution or Tikhonov distribution) is a continuous probability distribution on the circle. It is a close approximation to the wrapped normal distribution, which is the circular analogue of the normal distribution. A freely diffusing angle on a circle is a wrapped normally distributed random variable with an unwrapped variance that grows linearly in time. On the other hand, the von Mises distribution is the stationary distribution of a drift and diffusion process on the circle in a harmonic potential, i.e. with a preferred orientation. The von Mises distribution is the maximum entropy distribution for a given expectation value of . The von Mises distribution is a special case of the von Mises–Fisher distribution on the N-dimensional sphere.
Read more about Von Mises Distribution: Definition, Moments, Limiting Behavior, Estimation of Parameters, Distribution of The Mean, Entropy
Famous quotes containing the words von and/or distribution:
“For usually people resist as long as they can to dismiss the fool they harbor in their bosom, they resist to confess a major mistake or to admit a truth that makes them despair.”
—Johann Wolfgang Von Goethe (1749–1832)
“In this distribution of functions, the scholar is the delegated intellect. In the right state, he is, Man Thinking. In the degenerate state, when the victim of society, he tends to become a mere thinker, or, still worse, the parrot of other men’s thinking.”
—Ralph Waldo Emerson (1803–1882)