Hyper-class: Class "Hyper"

Description Objects from the Class Slots Extends Methods Author(s) See Also Examples

Description

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. C.f. rhyper

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) >= 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

Author(s)

Thomas Stabla statho3@web.de,
Florian Camphausen fcampi@gmx.de,
Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de,
Matthias Kohl Matthias.Kohl@stamats.de

See Also

HyperParameter-class DiscreteDistribution-class Naturals-class rhyper

Examples

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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.

distr documentation built on May 31, 2017, 3:55 a.m.

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