law0021.SkewNormal {PoweR} | R Documentation |
The Skew Normal Distribution
Description
Random generation for the Skew Normal distribution with parameters xi
, omega^2
and alpha
.
This generator is called by function gensample
to create random variables based on its parameters.
Details
If xi
, omega^2
and alpha
are not specified they assume the default values of 0, 1 and 0, respectively.
The Skew Normal distribution with parameters xi =
\xi
, omega^2 =
\omega^2
and alpha =
\alpha
has density:
\left(\frac{2}{\omega}\right)\phi\left(\frac{x-\xi}{\omega}\right)\Phi\left(\alpha\left(\frac{x-\xi}{\omega}\right)\right)
where \phi(x)
is the standard normal probability density function and \Phi(x)
is its cumulative distribution function.
Author(s)
P. Lafaye de Micheaux, V. A. Tran
References
Pierre Lafaye de Micheaux, Viet Anh Tran (2016). PoweR: A Reproducible Research Tool to Ease Monte Carlo Power Simulation Studies for Studies for Goodness-of-fit Tests in R. Journal of Statistical Software, 69(3), 1–42. doi:10.18637/jss.v069.i03
See Also
See law0002.Normal
for the Normal
distribution. See Distributions
for other standard distributions.
Examples
res <- gensample(21,10000,law.pars=c(8,6,2))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)