desn {ExtremalDep}

Univariate extended skew-normal distribution

Description

Density function, distribution function for the univariate extended skew-normal (ESN) distribution.

Usage

desn(x, location=0, scale=1, shape=0, extended=0)
pesn(x, location=0, scale=1, shape=0, extended=0)

Arguments

x

quantile.

location

location parameter. 0 is the default.

scale

scale parameter; must be positive. 1 is the default.

shape

skewness parameter. 0 is the default.

extended

extension parameter. 0 is the default.

Value

density (desn), probability (pesn) from the extended skew-normal distribution with given location, scale, shape and extended parameters or from the skew-normal if extended=0. If shape=0 and extended=0 then the normal distribution is recovered.

Author(s)

Simone Padoan, [e-mail], https://faculty.unibocconi.it/simonepadoan/; Boris Beranger, [e-mail] https://www.borisberanger.com;

References

Azzalini, A. (1985). A class of distributions which includes the normal ones. Scand. J. Statist. 12, 171-178.

Azzalini, A. with the collaboration of Capitanio, A. (2014). The Skew-Normal and Related Families. Cambridge University Press, IMS Monographs series.

Examples

dens1 <- desn(x=1, shape=3, extended=2)
dens2 <- desn(x=1, shape=3)
dens3 <- desn(x=1)
dens4 <- dnorm(x=1)
prob1 <- pesn(x=1, shape=3, extended=2)
prob2 <- pesn(x=1, shape=3)
prob3 <- pesn(x=1)
prob4 <- pnorm(q=1)