# Hyper-class

0th

Percentile

##### 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.

##### Slots

img

Object of class "Naturals": The space of the image of this distribution has got dimension 1 and the name "Natural Space".

param

Object of class "HyperParameter": the parameter of this distribution (m, n, k), declared at its instantiation

r

Object of class "function": generates random numbers (calls function rhyper)

d

Object of class "function": density function (calls function dhyper)

p

Object of class "function": cumulative function (calls function phyper)

q

Object of class "function": inverse of the cumulative function (calls function qhyper). The $\alpha$-quantile is defined as the smallest value $x$ such that $p(x) \ge \alpha]$, where $p$ is the cumulative function.

support:

Object of class "numeric": a (sorted) vector containing the support of the discrete density function

.withArith

logical: used internally to issue warnings as to interpretation of arithmetics

.withSim

logical: used internally to issue warnings as to accuracy

.logExact

logical: used internally to flag the case where there are explicit formulae for the log version of density, cdf, and quantile function

.lowerExact

logical: used internally to flag the case where there are explicit formulae for the lower tail version of cdf and quantile function

Symmetry

object of class "DistributionSymmetry"; used internally to avoid unnecessary calculations.

##### Extends

Class "DiscreteDistribution", directly. Class "UnivariateDistribution", by class "DiscreteDistribution". Class "Distribution", by class "DiscreteDistribution".

##### Methods

initialize

signature(.Object = "Hyper"): initialize method

m

signature(object = "Hyper"): returns the slot m of the parameter of the distribution

m<-

signature(object = "Hyper"): modifies the slot m of the parameter of the distribution

n

signature(object = "Hyper"): returns the slot n of the parameter of the distribution

n<-

signature(object = "Hyper"): modifies the slot n of the parameter of the distribution

k

signature(object = "Hyper"): returns the slot k of the parameter of the distribution

k<-

signature(object = "Hyper"): modifies the slot k of the parameter of the distribution

##### Aliases
• Hyper-class
• Hyper
• initialize,Hyper-method
##### Examples
# NOT RUN {
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.
## in RStudio or Jupyter IRKernel, use q.l(.)(.) instead of q(.)(.)
m(H) # m of this distribution is 3.
m(H) <- 2 # m of this distribution is now 2.
# }
Documentation reproduced from package distr, version 2.8.0, License: LGPL-3

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