Polar distribution

Polar distribution

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) = (rcosphi, , rsinphi) ,

where the radius r, equals the probability or probability density p(phi) , .

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 thefirst quadrant corresponds to the slant of handwriting (see: graphonomics).


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