UnivarLebDecDistribution-class

Class "UnivarLebDecDistribution"

UnivarLebDecDistribution-class is a class to formalize a Lebesgue decomposed distribution with a discrete and an absolutely continuous part; it is a subclass to class UnivarMixingDistribution.

Objects from the Class

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

Extends

Class "UnivarMixingDistribution", directly; class "UnivariateDistribution" by class "UnivarMixingDistribution" class "Distribution" by class "UnivariateDistribution".

Internal virtual superclass "AcDcLcDistribution"

As many operations should be valid no matter whether the operands are of class "AbscontDistribution", "DiscreteDistribution", or "UnivarLebDecDistribution", there is a class union of these classes called "AcDcLcDistribution"; in particular methods for "*", "/", "^" (see operators-methods) and methods Minimum, Maximum, Truncate, and Huberize, and convpow are defined for this class union.

concept

• Lebesgue decomposed distribution
• absolutely continuous distribution
• discrete distribution
• S4 distribution class

See Also

Parameter-class UnivarMixingDistribution-class DiscreteDistribution-class AbscontDistribution-class simplifyD flat.LCD

Aliases

• UnivarLebDecDistribution-class
• AffLinUnivarLebDecDistribution-class
• AcDcLcDistribution-class
• acPart
• discretePart
• acPart<-
• discretePart<-
• acPart-methods
• discretePart-methods
• acPart<--methods
• discretePart<--methods
• acPart,UnivarLebDecDistribution-method
• discretePart,UnivarLebDecDistribution-method
• acPart<-,UnivarLebDecDistribution-method
• discretePart<-,UnivarLebDecDistribution-method
• acWeight
• discreteWeight
• acWeight<-
• discreteWeight<-
• acWeight-methods
• discreteWeight-methods
• acWeight<--methods
• discreteWeight<--methods
• acWeight,UnivarLebDecDistribution-method
• discreteWeight,UnivarLebDecDistribution-method
• acWeight<-,UnivarLebDecDistribution-method
• discreteWeight<-,UnivarLebDecDistribution-method
• p.discrete,UnivarLebDecDistribution-method
• d.discrete,UnivarLebDecDistribution-method
• q.discrete,UnivarLebDecDistribution-method
• r.discrete,UnivarLebDecDistribution-method
• p.ac,UnivarLebDecDistribution-method
• d.ac,UnivarLebDecDistribution-method
• q.ac,UnivarLebDecDistribution-method
• r.ac,UnivarLebDecDistribution-method
• p.discrete-methods
• d.discrete-methods
• q.discrete-methods
• r.discrete-methods
• p.ac-methods
• d.ac-methods
• q.ac-methods
• r.ac-methods
• p.discrete
• d.discrete
• q.discrete
• r.discrete
• p.ac
• d.ac
• q.ac
• r.ac
• coerce,AbscontDistribution,UnivarLebDecDistribution-method
• coerce,DiscreteDistribution,UnivarLebDecDistribution-method
• coerce,AffLinUnivarLebDecDistribution,UnivarLebDecDistribution-method
• abs,UnivarLebDecDistribution-method
• log,UnivarLebDecDistribution-method
• log10,UnivarLebDecDistribution-method
• Math,UnivarLebDecDistribution-method
• ^,AcDcLcDistribution,Dirac-method
• exp,UnivarLebDecDistribution-method
• sign,UnivarLebDecDistribution-method
• sign,AcDcLcDistribution-method
• sqrt,UnivarLebDecDistribution-method
• sqrt,AcDcLcDistribution-method

Examples

wg <- flat.mix(UnivarMixingDistribution(Unif(0,1),Unif(4,5),
               withSimplify=FALSE))
myLC <- UnivarLebDecDistribution(discretePart=Binom(3,.3), acPart = wg,
          discreteWeight=.2)
myLC
p(myLC)(0.3)
r(myLC)(30)
q(myLC)(0.9)
acPart(myLC)
plot(myLC)
d.discrete(myLC)(2)
p.ac(myLC)(0)
acWeight(myLC)
plot(acPart(myLC))
plot(discretePart(myLC))
gaps(myLC)
support(myLC)
plot(as(Norm(),"UnivarLebDecDistribution"))