urplanck | R Documentation |
UNU.RAN random variate generator for the Planck distribution with
shape parameter a
.
It also allows sampling from the truncated distribution.
[Special Generator] – Sampling Function: Planck.
urplanck(n, a, lb = 1.e-12, ub = Inf)
n |
size of required sample. |
a |
(strictly positive) shape parameter. |
lb |
lower bound of (truncated) distribution. |
ub |
upper bound of (truncated) distribution. |
The Planck distribution with parameter a
has density proportional to
f(x) ~ (x^a)/(exp(x)-1)
for x ≥ 0 and a >= 1.
The generation algorithm uses transformed density rejection
‘TDR’. The parameters lb
and ub
can be used to
generate variates from the Planck 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
runif
and .Random.seed
about random number
generation and unuran
for the UNU.RAN class.
## Create a sample of size 1000 x <- urplanck(n=1000,a=2)
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