Skew Normal Distribution Functions

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

Usage

skew_normal_pdf(x, location = 0, scale = 1, shape = 0)

skew_normal_lpdf(x, location = 0, scale = 1, shape = 0)

skew_normal_cdf(x, location = 0, scale = 1, shape = 0)

skew_normal_lcdf(x, location = 0, scale = 1, shape = 0)

skew_normal_quantile(p, location = 0, scale = 1, shape = 0)

Arguments

x

quantile

location

location parameter (default is 0)

scale

scale parameter (default is 1)

shape

shape parameter (default is 0)

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

# Skew Normal distribution with location = 0, scale = 1, shape = 0
skew_normal_pdf(0)
#> [1] 0.3989423
skew_normal_lpdf(0)
#> [1] -0.9189385
skew_normal_cdf(0)
#> [1] 0.5
skew_normal_lcdf(0)
#> [1] -0.6931472
skew_normal_quantile(0.5)
#> [1] 0