urcauchy | R Documentation |
UNU.RAN random variate generator for the Cauchy distribution with
location parameter location
and scale parameter scale
.
It also allows sampling from the truncated distribution.
[Special Generator] – Sampling Function: Cauchy.
urcauchy(n, location=0, scale=1, lb = -Inf, ub = Inf)
n |
size of required sample. |
location |
location parameter. |
scale |
(strictly positive) scale parameter. |
lb |
lower bound of (truncated) distribution. |
ub |
upper bound of (truncated) distribution. |
If location
or scale
are not specified, they assume
the default values of 0
and 1
respectively.
The Cauchy distribution with location l and scale s has density
f(x) = 1 / (pi s (1 + ((x-l)/s)^2))
for all x.
The generation algorithm uses fast numerical inversion. The parameters
lb
and ub
can be used to generate variates from
the Cauchy distribution truncated to the interval (lb
,ub
).
This function is wrapper for the UNU.RAN class in R.
Compared to rcauchy
, urcauchy
is faster, especially for
larger sample sizes.
However, in opposition to rcauchy
vector arguments are ignored,
i.e. only the first entry is used.
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, unuran
for the UNU.RAN class, and
rcauchy
for the R built-in generator.
## Create a sample of size 1000 x <- urcauchy(n=1000)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.