Directional statistics | Types of probability distributions
In probability theory and directional statistics, a wrapped probability distribution is a continuous probability distribution that describes data points that lie on a unit n-sphere. In one dimension, a wrapped distribution consists of points on the unit circle. If is a random variate in the interval with probability density function (PDF) , then is a circular variable distributed according to the wrapped distribution and is an angular variable in the interval distributed according to the wrapped distribution . Any probability density function on the line can be "wrapped" around the circumference of a circle of unit radius. That is, the PDF of the wrapped variable in some interval of length is which is a periodic sum of period . The preferred interval is generally for which . (Wikipedia).
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