DiscreteDistribution-class

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Class "DiscreteDistribution"

The DiscreteDistribution-class is the mother-class of the class LatticeDistribution.

Keywords
distribution
Note

Working with a computer, we use a finite interval as support which carries at least mass 1-getdistrOption("TruncQuantile").

Objects from the Class

Objects can be created by calls to new("DiscreteDistribution", ...), but more easily is the use of the generating function "DiscreteDistribution". This generating function, from version 1.9 on, has been moved to this package from package distrEx.

Extends

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

Internal subclass "AffLinDiscreteDistribution"

To enhance accuracy of several functionals on distributions, mainly from package distrEx, from version 1.9 of this package on, there is an internally used (but exported) subclass "AffLinDiscreteDistribution" which has extra slots a, b (both of class "numeric"), and X0 (of class "DiscreteDistribution"), 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 = "DiscreteDistribution")} *{signature(e1 = "DiscreteDistribution", e2 = "numeric")} /{signature(e1 = "DiscreteDistribution", e2 = "numeric")} +{signature(e1 = "DiscreteDistribution", e2 = "numeric")} -{signature(e1 = "DiscreteDistribution", e2 = "numeric")} *{signature(e1 = "numeric", e2 = "DiscreteDistribution")} +{signature(e1 = "numeric", e2 = "DiscreteDistribution")} -{signature(e1 = "numeric", e2 = "DiscreteDistribution")} -{signature(e1 = "AffLinDiscreteDistribution")} *{signature(e1 = "AffLinDiscreteDistribution", e2 = "numeric")} /{signature(e1 = "AffLinDiscreteDistribution", e2 = "numeric")} +{signature(e1 = "AffLinDiscreteDistribution", e2 = "numeric")} -{signature(e1 = "AffLinDiscreteDistribution", e2 = "numeric")} *{signature(e1 = "numeric", e2 = "AffLinDiscreteDistribution")} +{signature(e1 = "numeric", e2 = "AffLinDiscreteDistribution")} -{signature(e1 = "numeric", e2 = "AffLinDiscreteDistribution")}

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 partiucalar methods for "*", "/", "^" (see operators-methods) and methods Minimum, Maximum, Truncate, and Huberize, and convpow are defined for this class union.

concept

  • discrete distribution
  • lattice distribution
  • support of a distribution
  • S4 distribution class

See Also

Parameter-class UnivariateDistribution-class LatticeDistribution-class AbscontDistribution-class Reals-class RtoDPQ.d

Aliases
  • DiscreteDistribution-class
  • AffLinDiscreteDistribution-class
  • initialize,DiscreteDistribution-method
  • initialize,AffLinDiscreteDistribution-method
  • coerce,DiscreteDistribution,LatticeDistribution-method
Examples
# Dirac-measure at 0
D1 <- DiscreteDistribution(supp = 0)
support(D1)

# simple discrete distribution
D2 <- DiscreteDistribution(supp = c(1:5), prob = c(0.1, 0.2, 0.3, 0.2, 0.2))
plot(D2)
(pp <- p(D2)(support(D2)))
p(D2)(support(D2)-1e-5)
p(D2)(support(D2)+1e-5)
p.l(D2)(support(D2))
p.l(D2)(support(D2)-1e-5)
p.l(D2)(support(D2)+1e-5)
q(D2)(pp)
q(D2)(pp-1e-5)
q(D2)(pp+1e-5)
q.r(D2)(pp)
q.r(D2)(pp-1e-5)
q.r(D2)(pp+1e-5)
Documentation reproduced from package distr, version 2.0.2, License: LGPL-3

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