udbeta function

UNU.RAN object for Beta distribution

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

[Distribution] -- Beta.

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

Arguments

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

Details

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

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

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

Returns

An object of class "unuran.cont".

See Also

unuran.cont.

References

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.

Author(s)

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

Examples

## 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)