R: Class "CompoundDistribution"

CompoundDistribution-class {distr} | R Documentation

## Class "CompoundDistribution"

### Description

`CompoundDistribution`-class is a class to formalize compound distributions; it is a subclass to class `UnivarMixingDistribution`.

### Objects from the Class

Objects can be created by calls of the form `new("CompoundDistribution", ...)`. More frequently they are created via the generating function `CompoundDistribution`.

### Slots

`NumbOfSummandsDistr`

  Object of class `"DiscreteDistribution"`, the frequency distribution.

`SummandsDistr`

  Object of class `"UnivDistrListOrDistribution"`, that is, either of class `"UnivarDistrList"` (non i.i.d. case) or of class `"UnivariateDistribution"` (i.i.d. case); the summand distribution(s).

`mixCoeff`

  Object of class `"numeric"`: a vector of probabilities for the mixing components.

`mixDistr`

  Object of class `"UnivarDistrList"`: a list of univariate distributions containing the mixing components; must be of same length as `mixCoeff`.

`img`

  Object of class `"Reals"`: the space of the image of this distribution which has dimension 1 and the name "Real Space"

`param`

  Object of class `"Parameter"`: the parameter of this distribution, having only the slot name "Parameter of a discrete distribution"

`r`

  Object of class `"function"`: generates random numbers

`d`

  fixed to `NULL`

`p`

  Object of class `"function"`: cumulative distribution function

`q`

  Object of class `"function"`: quantile 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 `"UnivarMixingDistribution"` class `"UnivarDistribution"` by class `"UnivarMixingDistribution"`, class `"Distribution"` by class `"UnivariateDistribution"`.

### Methods

show

  `signature(object = "CompoundDistribution")` prints the object

SummandsDistr

  `signature(object = "CompoundDistribution")` returns the corresponding slot

NumbOfSummandsDistr

  `signature(object = "CompoundDistribution")` returns the corresponding slot

### setAs relations

There is a coerce method to coerce objects of class `"CompoundDistribution"` to class `UnivarLebDecDistribution`; this is done by a simple call to `simplifyD`.

### Author(s)

Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de

### See Also

`Parameter-class`, `UnivariateDistribution-class`, `LatticeDistribution-class`, `AbscontDistribution-class`, `simplifyD`, `flat.mix`

### Examples

    CP <- CompoundDistribution(Pois(),Norm())
    CP
    p(CP)(0.3)
    plot(CP)

[Package distr version 2.8.0 Index]