PoweR (version 1.0.7)

law0029.GeneralizedArcsine: The Generalized Arcsine Distribution

Description

Random generation for the Generalized Arcsine distribution with parameters alpha.

This generator is called by function gensample to create random variables based on its parameter.

Details

If alpha is not specified it assumes the default value of 0.5.

The Generalized Arcsine distribution with parameter alpha = \(\alpha\) has density: $$ \frac{\sin(\pi\alpha)}{\pi}x^{-\alpha}(1-x)^{\alpha-1} $$ for \(0 < \alpha < 1\).

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 Distributions for other standard distributions.

Examples

# NOT RUN {
res <- gensample(29,10000,law.pars=0.8)
res$law
res$law.pars
mean(res$sample)
sd(res$sample)
# }