UnivarLebDecDistribution-class

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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.

Keywords
distribution
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 subclass "AffLinUnivarLebDecDistribution"

To enhance accuracy of several functionals on distributions, mainly from package distrEx, there is an internally used (but exported) subclass "AffLinUnivarLebDecDistribution" which has extra slots a, b (both of class "numeric"), and X0 (of class "UnivarLebDecDistribution"), to capture the fact that the object has the same distribution as a * X0 + b. This is the class of the return value of methods

  • -
{signature(e1 = "UnivarLebDecDistribution")} *{signature(e1 = "UnivarLebDecDistribution", e2 = "numeric")} /{signature(e1 = "UnivarLebDecDistribution", e2 = "numeric")} +{signature(e1 = "UnivarLebDecDistribution", e2 = "numeric")} -{signature(e1 = "UnivarLebDecDistribution", e2 = "numeric")} *{signature(e1 = "numeric", e2 = "UnivarLebDecDistribution")} +{signature(e1 = "numeric", e2 = "UnivarLebDecDistribution")} -{signature(e1 = "numeric", e2 = "UnivarLebDecDistribution")} -{signature(e1 = "AffLinUnivarLebDecDistribution")} *{signature(e1 = "AffLinUnivarLebDecDistribution", e2 = "numeric")} /{signature(e1 = "AffLinUnivarLebDecDistribution", e2 = "numeric")} +{signature(e1 = "AffLinUnivarLebDecDistribution", e2 = "numeric")} -{signature(e1 = "AffLinUnivarLebDecDistribution", e2 = "numeric")} *{signature(e1 = "numeric", e2 = "AffLinUnivarLebDecDistribution")} +{signature(e1 = "numeric", e2 = "AffLinUnivarLebDecDistribution")} -{signature(e1 = "numeric", e2 = "AffLinUnivarLebDecDistribution")}

code

"AffLinDistribution"

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
  • support,UnivarLebDecDistribution-method
  • 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
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"))
Documentation reproduced from package distr, version 2.0.2, License: LGPL-3

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