udlogarithmic function

UNU.RAN object for Logarithmic distribution

Create UNU.RAN object for a Logarithmic distribution with shape parameter shape.

[Distribution] -- Logarithmic.

udlogarithmic(shape, lb = 1, ub = Inf)

Arguments

• shape: shape parameter. Must be between 0 and 1.
• lb: lower bound of (truncated) distribution.
• ub: upper bound of (truncated) distribution.

Details

The Logarithmic distribution with parameters shape

$= t$ has density

for $x = 1, 2, \ldots$ and $0 < t < 1$.

The domain of the distribution can be truncated to the interval (lb,ub).

Returns

An object of class "unuran.discr".

See Also

unuran.discr.

References

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.

Author(s)

Josef Leydold and Wolfgang H"ormann unuran@statmath.wu.ac.at .

Examples

## 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)