UnivarMixingDistribution-class {distr}

Class "UnivarMixingDistribution"

Description

UnivarMixingDistribution-class is a class to formalize univariate mixing distributions; it is a subclass to class UnivariateDistribution.

Objects from the Class

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

Slots

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

support

numeric vector — the union of all support slots of components, if existing

gaps

(numeric) matrix or NULL; the merged gaps slots of all components, if existing (else NULL)

.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 "UnivariateDistribution" class "Distribution" by class "UnivariateDistribution".

Methods

show

signature(object = "UnivarMixingDistribution") prints the object

mixCoeff<-

signature(object = "UnivarMixingDistribution") replaces the corresponding slot

mixCoeff

signature(object = "UnivarMixingDistribution") returns the corresponding slot

mixDistr<-

signature(object = "UnivarMixingDistribution") replaces the corresponding slot

mixDistr

signature(object = "UnivarMixingDistribution") returns the corresponding slot

support

signature(object = "UnivarMixingDistribution") returns the corresponding slot

gaps

signature(object = "UnivarMixingDistribution") returns the corresponding slot

.logExact

signature(object = "Distribution"): returns slot .logExact if existing; else tries to convert the object to a newer version of its class by conv2NewVersion and returns the corresponding slot of the converted object.

.lowerExact

signature(object = "Distribution"): returns slot .lowerExact if existing; else tries to convert the object to a newer version of its class by conv2NewVersion and returns the corresponding slot of the converted object.

Symmetry

returns slot Symmetry if existing; else tries to convert the object to a newer version of its class by conv2NewVersion and returns the corresponding slot of the converted object.

Author(s)

Peter Ruckdeschel [e-mail]

See Also

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

Examples

mylist <- UnivarMixingDistribution(Binom(3,.3), Dirac(2), Norm(), 
          mixCoeff=c(1/4,1/5,11/20))
mylist2 <- UnivarMixingDistribution(Binom(3,.3), mylist, 
          mixCoeff=c(.3,.7))
mylist2
p(mylist)(0.3)          
mixDistr(mylist2)