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F(x) = 1 - exp(-x^2/(2 sigma^2)), x >= 0. Density, distribution function, quantile and draws by inversion of the morie Philox uniforms (identical in the Python arm).

Usage

RayleighDist(x = NULL, sigma = 1, p = NULL, n = 0, seed = 0)

Arguments

x

Evaluation points.

sigma

Parameter.

p

Probabilities for the quantile function.

n

Number of random draws.

seed

Philox seed.

Value

list(pdf, logpdf, cdf, quantile, random).

References

Rayleigh, Lord (1880). On the resultant of a large number of vibrations. Phil. Mag. 10, 73-78.

Examples

RayleighDist(0.5)$cdf
#> [1] 0.1175031