law0003.Cauchy {PoweR} | R Documentation |
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.
If location
or scale
are not specified, they assume the default values of 0 and 1 respectively.
The Cauchy distribution has density:
f(x) = 1 / (π s (1 + ((x-l)/s)^2))
where l is the location parameter and s is the scale parameter, for all x.
P. Lafaye de Micheaux, V. A. Tran
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 function rcauchy
from package stats. See Distributions
for other standard distributions.
res <- gensample(3,10000,law.pars=c(9,2)) res$law res$law.pars mean(res$sample) sd(res$sample)