LaMa (version 2.1.2)

skewnorm: Skew normal distribution

Description

Density, distribution function, quantile function and random generation for the skew normal distribution.

Usage

dskewnorm(x, xi = 0, omega = 1, alpha = 0, log = FALSE)
pskewnorm(q, xi = 0, omega = 1, alpha = 0, lower.tail = TRUE, log.p = FALSE)
qskewnorm(p, xi = 0, omega = 1, alpha = 0, lower.tail = TRUE, log.p = FALSE)
rskewnorm(n, xi = 0, omega = 1, alpha = 0)

Value

dskewnorm gives the density, pskewnorm gives the distribution function, qskewnorm gives the quantile function, and rskewnorm generates random deviates.

Arguments

x, q

vector of quantiles

xi

location parameter

omega

scale parameter, must be positive.

alpha

skewness parameter, +/- Inf is allowed.

log, log.p

logical; if TRUE, probabilities/ densities \(p\) are returned as \(\log(p)\).

lower.tail

logical; if TRUE (default), probabilities are \(P[X \le x]\), otherwise \(P[X > x]\).

p

vector of probabilities

n

number of observations. If length(n) > 1, the length is taken to be the number required.

Details

This implementation of dskewnorm allows for automatic differentiation with RTMB while the other functions are imported from the sn package.

Examples

x = rskewnorm(1)
d = dskewnorm(x)
p = pskewnorm(x)
q = qskewnorm(p)