The Rayleigh distribution has the probability density function:

f(x) = x/b2 * e^ [-(x2/2b2 )]

0 <= x < ∞, b > 0

where

b |
is the scale parameter |

e |
is the base of the natural logarithm, sometimes called Euler's e (2.71...) |

See also, Process Analysis.

The graphic above shows the shape of the Rayleigh distribution when the scale parameter equals 1.

For a complete listing of all distribution functions, see Distributions and Their Functions.