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Circular uniform distribution : ウィキペディア英語版
Circular uniform distribution

In probability theory and directional statistics, a circular uniform distribution is a probability distribution on the unit circle whose density is uniform for all angles.
== Description ==
The probability density function (pdf) of the circular uniform distribution is:
:
f_(\theta)=\frac.

In terms of the circular variable z=e^ the circular moments of the circular uniform distribution all zero, except for m_0:
:\langle z^n\rangle=\delta_n
where \delta_n is the Kronecker delta symbol.
The mean angle is undefined, and the length of the mean resultant is zero.

:
R=|\langle z^n\rangle|=0\,


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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