udhyper | R Documentation |
Create UNU.RAN object for a Hypergeometric distribution with
parameters m
, n
, and k
.
[Distribution] – Hypergeometric.
udhyper(m, n, k, lb=max(0,k-n), ub=min(k,m))
m |
the number of white balls in the urn. |
n |
the number of black balls in the urn. |
k |
the number of balls drawn from the urn. |
lb |
lower bound of (truncated) distribution. |
ub |
upper bound of (truncated) distribution. |
The Hypergeometric distribution is used for sampling without
replacement. The density of this distribution with parameters
m
, n
and k
(named Np, N-Np, and
n, respectively in the reference below) is given by
p(x) = choose(m, x) choose(n, k-x) / choose(m+n, k)
for x = 0, …, k.
The domain of the distribution can be truncated to the
interval (lb
,ub
).
An object of class "unuran.discr"
.
Josef Leydold and Wolfgang H\"ormann unuran@statmath.wu.ac.at.
N.L. Johnson, S. Kotz, and A.W. Kemp (1992): Univariate Discrete Distributions. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 6, p. 237.
## Create distribution object for Hypergeometric distribution dist <- udhyper(m=15,n=5,k=7) ## Generate generator object; use method DGT (inversion) gen <- dgtd.new(dist) ## Draw a sample of size 100 x <- ur(gen,100)
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