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Directional statistics (also called circular or spherical statistics) is the discipline of statistics that deals with directions (unit vectors in $\mathbb{R}^n$), axes (lines through the origin in $\mathbb{R}^n$) or rotations in $\mathbb{R}^n$.
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Can one uniformly generate complex numbers of absolute value less than a given constant $R \...
The MathWorld entry DiskPointPicking asserts (without an explicit proof) that to generate uniformly distributed points ($x,y)$ in the unit disk, one should employ
\begin{equation}
x=\sqrt{r} \cos{\th …
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Can one uniformly generate complex numbers of absolute value less than a given constant $R \... [duplicate]
Can one uniformly generate complex numbers of absolute value less than a given constant R?
This would appear to be equivalent to picking points $(x,y)$ uniformly in a disk of radius R, where $x$ is th …