Polar distribution

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In probability theory, the polar distribution is the probability distribution of angles occurring in a set of two-dimensional vectors, denoted by

p(\phi).\,

It is usually graphically represented as a closed curve

(x,y) = (r\cos\phi, \, r\sin\phi) ,

where the radius r equals the probability p.

[edit] Example

By computing the probability distribution of angles along a handwritten ink trace, a lobe-shaped polar distribution emerges. The main direction of the lobe in the first quadrant corresponds to the slant of handwriting (see: graphonomics).

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