Class "Geom"

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Description

The geometric distribution with prob = p has density

p(x) = p (1-p)^x

for x = 0, 1, 2, ...

C.f. rgeom

Objects from the Class

Objects can be created by calls of the form Geom(prob). This object is a geometric 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 "NbinomParameter": the parameter of this distribution (prob), declared at its instantiation (size=1)

r

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

d

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

p

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

q

Object of class "function": inverse of the cumulative function (calls function qgeom). The quantile is defined as the smallest value x such that F(x) ≥ p, where F is the distribution 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 "Nbinom", directly.
Class "UnivariateDistribution", by class "DiscreteDistribution".
Class "Distribution", by class "DiscreteDistribution".

Contains-Relations

By means of a contains argument in the class declaration, R “knows” that a distribution object obj of class "Geom" also is a negative Binomial distribution with parameters size = 1, prob = prob(obj)

Methods

initialize

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

prob

signature(object = "Geom"): returns the slot prob of the parameter of the distribution

prob<-

signature(object = "Geom"): modifies the slot prob of the parameter of the distribution

Note

Working with a computer, we use a finite interval as support which carries at least mass 1-getdistrOption("TruncQuantile").

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

Nbinom-class GeomParameter-class DiscreteDistribution-class Naturals-class rgeom

Examples

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G <- Geom(prob = 0.5) # G is a geometric distribution with prob = 0.5.
r(G)(1) # one random number generated from this distribution, e.g. 0
d(G)(1) # Density of this distribution is 0.25 for x = 1.
p(G)(1) # Probability that x<1 is 0.75.
q(G)(.1) # x = 0 is the smallest value x such that p(G)(x) >= 0.1.
prob(G) # prob of this distribution is 0.5.
prob(G) <- 0.6 # prob of this distribution is now 0.6.
as(G,"Nbinom")
G+G+G

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