law0006.Beta {PoweR} | R Documentation |
The Beta Distribution
Description
Random generation for the Beta distribution with parameters shape1
and shape2
.
This generator is called by function gensample
to create random variables based on its parameters.
Details
If shape1
or shape2
are not specified they assume the default values of 1 and 1, respectively.
The Beta distribution with parameters shape1
= a
and shape2
= b
has density:
\frac{\Gamma(\alpha+\beta)}{\Gamma(\alpha)\Gamma(\beta)}x^{\alpha-1}(1-x)^{\beta-1}
for a > 0, b > 0
and 0 \le x \le 1
where the boundary values at x=0
or x=1
are defined as by continuity (as limits).
Author(s)
P. Lafaye de Micheaux, V. A. Tran
References
Pierre Lafaye de Micheaux, Viet Anh Tran (2016). PoweR: A Reproducible Research Tool to Ease Monte Carlo Power Simulation Studies for Studies for Goodness-of-fit Tests in R. Journal of Statistical Software, 69(3), 1–42. doi:10.18637/jss.v069.i03
See Also
See function rbeta
from package stats. See Distributions
for other standard distributions.
Examples
res <- gensample(6,10000,law.pars=c(9,2))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)