# 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.
```

*Documentation reproduced from package distr, version 2.3.1, License: LGPL-3*

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