UNU.RAN random variate generator for the Logistic distribution with
parameters location and scale.
It also allows sampling from the truncated distribution.
[Special Generator] -- Sampling Function: Logistic.
urlogis(n, location=0, scale=1, lb=-Inf, ub=Inf)
size of required sample.
location parameter.
(strictly positive) scale parameter.
lower bound of (truncated) distribution.
upper bound of (truncated) distribution.
Josef Leydold and Wolfgang H\"ormann unuran@statmath.wu.ac.at.
If location or scale are omitted, they assume the
default values of 0 and 1 respectively.
The Logistic distribution with location \(= \mu\) and
scale \(= \sigma\) has distribution function
$$
F(x) = \frac{1}{1 + e^{-(x-\mu)/\sigma}}%
$$
and density
$$
f(x)= \frac{1}{\sigma}\frac{e^{(x-\mu)/\sigma}}{(1 + e^{(x-\mu)/\sigma})^2}%
$$
The generation algorithm uses inversion. The parameters
lb and ub can be used to generate variates from
the Logistic distribution truncated to the interval (lb,ub).
W. H\"ormann, J. Leydold, and G. Derflinger (2004): Automatic Nonuniform Random Variate Generation. Springer-Verlag, Berlin Heidelberg
runif and .Random.seed about random number
generation, unuran for the UNU.RAN class, and
rlogis for the R built-in generator.
## Create a sample of size 1000
x <- urlogis(n=1000)
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