udbeta: UNU.RAN object for Beta distribution
In Runuran: R Interface to the UNU.RAN Random Variate Generators

Description Usage Arguments Details Value Author(s) References See Also Examples

View source: R/distributions.R

Create UNU.RAN object for a Beta distribution with with parameters shape1 and shape2.

[Distribution] – Beta.

1	udbeta(shape1, shape2, lb=0, ub=1)

`shape1,shape2`	positive shape parameters of the Beta distribution.
`lb`	lower bound of (truncated) distribution.
`ub`	upper bound of (truncated) distribution.

The Beta distribution with parameters shape1 = a and shape2 = b has density

f(x) = Gamma(a+b)/(Gamma(a)Gamma(b))x^(a-1)(1-x)^(b-1)

for a > 0, b > 0 and 0 <= x <= 1.

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

An object of class "unuran.cont".

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

N.L. Johnson, S. Kotz, and N. Balakrishnan (1995): Continuous Univariate Distributions, Volume 2. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 25, p. 210.

unuran.cont.

## Create distribution object for beta distribution
distr <- udbeta(shape1=3,shape2=7)
## Generate generator object; use method PINV (inversion)
gen <- pinvd.new(distr)
## Draw a sample of size 100
x <- ur(gen,100)