urlnorm | R Documentation |
UNU.RAN random variate generator for the Log-Normal distribution
whose logarithm has mean equal to meanlog
and standard
deviation equal to sdlog
.
It also allows sampling from the truncated distribution.
[Special Generator] – Sampling Function: Log-Normal.
urlnorm(n, meanlog=0, sdlog=1, lb=0, ub=Inf)
n |
size of required sample. |
meanlog, sdlog |
mean and standard deviation of the distribution
on the log scale. If not not specified they assume the default
values of |
lb |
lower bound of (truncated) distribution. |
ub |
upper bound of (truncated) distribution. |
The Log-Normal distribution has density
f(x) = 1/(sqrt(2 pi) sigma x) e^-((log x - mu)^2 / (2 sigma^2))
where μ and σ are the mean and standard deviation of the logarithm.
The generation algorithm uses fast numerical inversion. The parameters
lb
and ub
can be used to generate variates from
the Log-Normal distribution truncated to the interval (lb
,ub
).
This function is wrapper for the UNU.RAN class in R.
Compared to rlnorm
, urlnorm
is faster, especially for
larger sample sizes.
However, in opposition to rlnorm
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
rlnorm
for the R built-in generator.
## Create a sample of size 1000 x <- urlnorm(n=1000)
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