law0021.SkewNormal: The Skew Normal Distribution

In PoweR: Computation of Power and Level Tables for Hypothesis Tests

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 = ξ, omega^2 = ω^2 and alpha = α has density:

f(x) = 2/ω φ((x-ξ)/ω) Φ(α((x-ξ)/ω))

where φ(x) is the standard normal probability density function and Φ(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)

PoweR documentation built on May 2, 2019, 2:09 p.m.