udpowerexp | R Documentation |
Create UNU.RAN object for a Powerexponential (Subbotin)
distribution with shape parameter shape
.
[Distribution] – Powerexponential (Subbotin).
udpowerexp(shape, lb=-Inf, ub=Inf)
shape |
(strictly positive) shape parameter. |
lb |
lower bound of (truncated) distribution. |
ub |
upper bound of (truncated) distribution. |
The Powerexponential distribution with parameter shape
= t has density
f(x) = 1/(2 * Gamma(1+1/t)) * exp(-|x|^t )
for all x and t > 0.
(Here Gamma(a) is the function implemented by R's
gamma()
and defined in its help.)
The domain of the distribution can be truncated to the
interval (lb
,ub
).
An object of class "unuran.cont"
.
This function is wrapper for the UNU.RAN class in R.
Josef Leydold and Wolfgang H\"ormann unuran@statmath.wu.ac.at.
N.L. Johnson, S. Kotz, and N. Balakrishnan (1995): Continuous Univariate Distributions, Volume 2. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 24, p. 195.
unuran.cont
.
## Create distribution object for powerexponential distribution distr <- udpowerexp(shape=4) ## Generate generator object; use method PINV (inversion) gen <- pinvd.new(distr) ## Draw a sample of size 100 x <- ur(gen,100)
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