Runuran (version 0.21.0)

udlogis: UNU.RAN object for Logistic distribution

Description

Create UNU.RAN object for a Logistic distribution with parameters location and scale. [Distribution] -- Logistic.

Usage

udlogis(location=0, scale=1, lb=-Inf, ub=Inf)

Arguments

location

location parameter.

scale

(strictly positive) scale parameter.

lb

lower bound of (truncated) distribution.

ub

upper bound of (truncated) distribution.

Value

• An object of class "unuran.cont".

Details

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 domain of the distribution can be truncated to the interval (lb,ub).

References

N.L. Johnson, S. Kotz, and N. Balakrishnan (1995): Continuous Univariate Distributions, Volume 2. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 23, p. 115.

See Also

unuran.cont.

Examples

## Create distribution object for standard logistic distribution
distr <- udlogis()
## Generate generator object; use method PINV (inversion)
gen <- pinvd.new(distr)
## Draw a sample of size 100
x <- ur(gen,100)