Landau Distribution Functions

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

Usage

landau_pdf(x, location = 0, scale = 1)

landau_lpdf(x, location = 0, scale = 1)

landau_cdf(x, location = 0, scale = 1)

landau_lcdf(x, location = 0, scale = 1)

landau_quantile(p, location = 0, scale = 1)

Arguments

x

quantile

location

location parameter (default is 0)

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

# Landau distribution with location 0 and scale 1
landau_pdf(3)
#> [1] 0.05863949
landau_lpdf(3)
#> [1] -2.836347
landau_cdf(3)
#> [1] 0.7792967
landau_lcdf(3)
#> [1] -0.2493635
landau_quantile(0.5)
#> [1] 0.5756301