udchi function

UNU.RAN object for Chi distribution

Create UNU.RAN object for a Chi distribution with df degrees of freedom.

[Distribution] -- Chi.

udchi(df, lb=0, ub=Inf)

Arguments

• df: degrees of freedom (strictly positive). Non-integer values allowed.
• lb: lower bound of (truncated) distribution.
• ub: upper bound of (truncated) distribution.

Details

The Chi distribution with df$= n > 0$ degrees of freedom has density

for $x > 0$.

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 (1994): Continuous Univariate Distributions, Volume 1. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 18, p. 417.

Author(s)

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

Examples

## Create distribution object for chi-squared distribution
distr <- udchi(df=5)
## Generate generator object; use method PINV (inversion)
gen <- pinvd.new(distr)
## Draw a sample of size 100
x <- ur(gen,100)