PoweR (version 1.0.7)

law0003.Cauchy: The Cauchy Distribution

Description

Random generation for the Cauchy distribution with parameters location and scale.

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

Details

If location or scale are not specified, they assume the default values of 0 and 1 respectively.

The Cauchy distribution has density: $$ \frac{1}{\pi s(1+(\frac{x-l}{s})^2)} $$ where \(l\) is the location parameter and \(s\) is the scale parameter, for all \(x\).

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 function rcauchy from package stats. See Distributions for other standard distributions.

Examples

# NOT RUN {
res <- gensample(3,10000,law.pars=c(9,2))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)
# }