PoweR (version 1.0.7)

law0020.JohnsonSB: The Johnson SB Distribution

Description

Random generation for the Johnson SB distribution with parameters g and d.

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

Details

If g and d are not specified they assume the default values of 0 and 1, respectively.

The Johnson SB distribution has density: $$ \frac{d}{\sqrt{2\pi}}\frac{1}{x(1-x)}e^{-\frac{1}{2}\left(g+d\ln\frac{x}{1-x} \right)^2} $$ where \(d > 0\).

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(20,10000,law.pars=c(8,6))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)
# }