# Geom-class

0th

Percentile

##### Class "Geom"

The geometric distribution with prob $= p$ has density $$p(x) = p {(1-p)}^{x}$$ for $x = 0, 1, 2, \ldots$ C.f. rgeom

Keywords
distribution
##### Note

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

##### Objects from the Class

Objects can be created by calls of the form Geom(prob). This object is a geometric distribution.

##### 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)

##### concept

• discrete distribution
• lattice distribution
• Geometric distribution
• Negative Binomial distribution
• S4 parameter class
• generating function

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

##### Aliases
• Geom-class
• Geom
• initialize,Geom-method
##### Examples
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
Documentation reproduced from package distr, version 2.0.6, License: LGPL-3

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