urlogarithmic | R Documentation |
UNU.RAN random variate generator for the Logarithmic distribution with
shape parameter shape
.
It also allows sampling from the truncated distribution.
[Special Generator] – Sampling Function: Logarithmic.
urlogarithmic(n, shape, lb = 1, ub = Inf)
n |
size of required sample. |
shape |
shape parameter. Must be between 0 and 1. |
lb |
lower bound of (truncated) distribution. |
ub |
upper bound of (truncated) distribution. |
The Logarithmic distribution with parameters shape
= t has density
f(x) = -log(1-t) * t^x / x
for x = 1, 2, … and 0 < t < 1.
The generation algorithm uses guide table based inversion when the
tails are not too heavy and method ‘DARI’ otherwise.
The parameters lb
and ub
can be used to generate
variates from the Logarithmic distribution truncated to the interval
(lb
,ub
).
This function is a 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 A.W. Kemp (1992): Univariate Discrete Distributions, 2nd edition. John Wiley & Sons, Inc., New York. Chap.7, p.285.
runif
and .Random.seed
about random number
generation and unuran
for the UNU.RAN class.
## Create a sample of size 1000 x <- urlogarithmic(n=1000,shape=0.3)
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