CompoundDistribution-class

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Class "CompoundDistribution"

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

Keywords
distribution
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.

See Also

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

Aliases
  • CompoundDistribution-class
  • NumbOfSummandsDistr
  • SummandsDistr
  • NumbOfSummandsDistr-methods
  • SummandsDistr-methods
  • NumbOfSummandsDistr,CompoundDistribution-method
  • SummandsDistr,CompoundDistribution-method
  • coerce,CompoundDistribution,UnivarLebDecDistribution-method
  • UnivDistrListOrDistribution-class
Examples
CP <- CompoundDistribution(Pois(),Norm())
CP
p(CP)(0.3)          
plot(CP)
Documentation reproduced from package distr, version 2.6, License: LGPL-3

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