udslash: UNU.RAN object for Slash distribution

In Runuran: R Interface to the 'UNU.RAN' Random Variate Generators

UNU.RAN object for Slash distribution

Description

Create UNU.RAN object for a Slash distribution.

[Distribution] – Slash.

Usage

udslash(lb=-Inf, ub=Inf)

Arguments

lb	lower bound of (truncated) distribution.
ub	upper bound of (truncated) distribution.

Details

The slash distribution has density

f(x) = \frac{1}{\sqrt{2 \pi}} (1 - exp(-x^2/2)) / x^2

for x\not= 0 and \frac{1}{\sqrt{2 \pi}} otherwise. It is the distribution of the ratio of a unit normal variable to an independent standard uniform (0,1) variable.

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

Value

An object of class "unuran.cont".

Author(s)

Josef Leydold and Wolfgang H\"ormann [e-mail].

References

N.L. Johnson, S. Kotz, and N. Balakrishnan (1994): Continuous Univariate Distributions, Volume 1. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 12, p. 63.

See Also

unuran.cont.

Examples

## Create distribution object for a slash distribution
distr <- udslash()
## Generate generator object; use method PINV (inversion)
gen <- pinvd.new(distr)
## Draw a sample of size 100
x <- ur(gen,100)

Runuran documentation built on April 12, 2025, 1:35 a.m.