udlogarithmic | R Documentation |
Create UNU.RAN object for a Logarithmic distribution with
shape parameter shape
.
[Distribution] – Logarithmic.
udlogarithmic(shape, lb = 1, ub = Inf)
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 domain of the distribution can be truncated to the
interval (lb
,ub
).
An object of class "unuran.discr"
.
Josef Leydold and Wolfgang H\"ormann unuran@statmath.wu.ac.at.
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.
unuran.discr
.
## Create distribution object for Logarithmic distribution dist <- udlogarithmic(shape=0.3) ## Generate generator object; use method DARI gen <- darid.new(dist) ## Draw a sample of size 100 x <- ur(gen,100)
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