Geom-class: Class "Geom" In distr: Object Oriented Implementation of Distributions

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 [email protected],
Florian Camphausen [email protected],
Peter Ruckdeschel [email protected],
Matthias Kohl [email protected]

`Nbinom-class` `GeomParameter-class` `DiscreteDistribution-class` `Naturals-class` `rgeom`
 ``` 1 2 3 4 5 6 7 8 9 10``` ```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. ## in RStudio or Jupyter IRKernel, use q.l(.)(.) instead of q(.)(.) 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 ```