udweibull {Runuran} | R Documentation |
UNU.RAN object for Weibull distribution
Description
Create UNU.RAN object for a Weibull (Extreme value type III)
distribution with with parameters shape
and scale
.
[Distribution] – Weibull (Extreme value type III).
Usage
udweibull(shape, scale=1, lb=0, ub=Inf)
Arguments
shape |
(strictly positive) shape parameter. |
scale |
(strictly positive) scale parameter. |
lb |
lower bound of (truncated) distribution. |
ub |
upper bound of (truncated) distribution. |
Details
The Weibull distribution with shape
parameter a
and
scale
parameter \sigma
has density given by
f(x) = (a/\sigma) {(x/\sigma)}^{a-1} \exp (-{(x/\sigma)}^{a})
for x \ge 0
.
The domain of the distribution can be truncated to the
interval (lb
,ub
).
Value
An object of class "unuran.cont"
.
Author(s)
Josef Leydold and Wolfgang H\"ormann unuran@statmath.wu.ac.at.
References
N.L. Johnson, S. Kotz, and N. Balakrishnan (1994): Continuous Univariate Distributions, Volume 1. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 21, p. 628.
See Also
Examples
## Create distribution object for Weibull distribution
distr <- udweibull(shape=3)
## Generate generator object; use method PINV (inversion)
gen <- pinvd.new(distr)
## Draw a sample of size 100
x <- ur(gen,100)