# Geom-class

##### 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

##### See Also

`Nbinom-class`

`GeomParameter-class`

`DiscreteDistribution-class`

`Naturals-class`

`rgeom`

##### 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 2.2.3, License: LGPL-3*