# Dictionary:Rayleigh distribution

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(rā’ lē) A 2D probability distribution that has the same variance in both directions.

${\displaystyle f(x)=(x/{\alpha })e^{-x^{2}/\alpha },x\geq 0,\alpha >0,}$

where ${\displaystyle \alpha }$ is the shape parameter. It is the 2D equivalent of a Gaussian distribution. Compare rms positional error. See Miller et al. (1958).