Hyper-class
From distr v2.3.1
by Peter Ruckdeschel
Class "Hyper"
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
$$p(x) = \left. {m \choose x}{n \choose k-x} \right/ {m+n \choose k}$$
for $x = 0, \ldots, k$.
C.f. rhyper
- Keywords
- distribution
Objects from the Class
Objects can be created by calls of the form Hyper(m, n, k)
.
This object is a hypergeometric distribution.
Extends
Class "DiscreteDistribution"
, directly.
Class "UnivariateDistribution"
, by class "DiscreteDistribution"
.
Class "Distribution"
, by class "DiscreteDistribution"
.
concept
- discrete distribution
- lattice distribution
- Hypergeometric distribution
- S4 parameter class
- generating function
See Also
HyperParameter-class
DiscreteDistribution-class
Naturals-class
rhyper
Examples
H <- Hyper(m=3,n=3,k=3) # H is a hypergeometric distribution with m=3,n=3,k=3.
r(H)(1) # one random number generated from this distribution, e.g. 2
d(H)(1) # Density of this distribution is 0.45 for x=1.
p(H)(1) # Probability that x<1 is 0.5.
q(H)(.1) # x=1 is the smallest value x such that p(H)(x)>=0.1.
m(H) # m of this distribution is 3.
m(H) <- 2 # m of this distribution is now 2.
Community examples
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