urpowerexp | R Documentation |
UNU.RAN random variate generator for the Powerexponential (Subbotin)
distribution with shape parameter shape
.
It also allows sampling from the truncated distribution.
[Special Generator] – Sampling Function: Powerexponential (Subbotin).
urpowerexp(n, shape, lb = -Inf, ub = Inf)
n |
size of required sample. |
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 generation algorithm uses fast numerical inversion. The parameters
lb
and ub
can be used to generate variates from
the Powerexponential distribution truncated to the interval (lb
,ub
).
This function is wrapper for the UNU.RAN class in R.
Josef Leydold and Wolfgang H\"ormann unuran@statmath.wu.ac.at.
W. H\"ormann, J. Leydold, and G. Derflinger (2004): Automatic Nonuniform Random Variate Generation. Springer-Verlag, Berlin Heidelberg
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.
runif
and .Random.seed
about random number
generation and unuran
for the UNU.RAN class.
## Create a sample of size 1000 x <- urpowerexp(n=1000, shape=4)
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