law0004.Logistic {PoweR} | R Documentation |
The Logistic Distribution
Description
Random generation for the Logistic 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 omitted, they assume the default values of 0 and 1 respectively.
The Logistic distribution with location =
\mu
and scale = s
has distribution function
\frac{1}{1 + exp^{-\frac{(x-\mu)}{s}}}
and density
\frac{exp^{-\frac{(x-\mu)}{s}}}{s(1+exp^{-\frac{(x-\mu)}{s}})^2}
It is a long-tailed distribution with mean \mu
and variance (\pi^2)/3 s^2
.
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 rlogis
from package stats. See Distributions
for other standard distributions.
Examples
res <- gensample(4,10000,law.pars=c(9,2))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)