Rayleigh Distribution Functions

Functions to compute the probability density function, cumulative distribution function, and quantile function for the Rayleigh distribution.

Usage

rayleigh_pdf(x, scale = 1)

rayleigh_lpdf(x, scale = 1)

rayleigh_cdf(x, scale = 1)

rayleigh_lcdf(x, scale = 1)

rayleigh_quantile(p, scale = 1)

Arguments

x

quantile

scale

scale parameter (default is 1)

p

probability (0 <= p <= 1)

Value

A single numeric value with the computed probability density, log-probability density, cumulative distribution, log-cumulative distribution, or quantile depending on the function called.

See also

Boost Documentation for more details on the mathematical background.

Examples

# Rayleigh distribution with scale = 1
rayleigh_pdf(1)
#> [1] 0.6065307
rayleigh_lpdf(1)
#> [1] -0.5
rayleigh_cdf(1)
#> [1] 0.3934693
rayleigh_lcdf(1)
#> [1] -0.9327521
rayleigh_quantile(0.5)
#> [1] 1.17741