law0003.Cauchy {PoweR} | R Documentation |
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
.
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 function rcauchy
from package stats. See Distributions
for other standard distributions.
Examples
res <- gensample(3,10000,law.pars=c(9,2))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)