distr (version 2.6)

Dirac-class: Class "Dirac"

Description

The Dirac distribution with location $l$, by default $=0$, has density $d(x) = 1$ for $x = l$, $0$ else.

Objects from the Class

Objects can be created by calls of the form Dirac(location). This object is a Dirac distribution.

Slots

img

Object of class "Naturals": The space of the image of this distribution has got dimension 1 and the name "Real Space".

param

Object of class "DiracParameter": the parameter of this distribution (location), declared at its instantiation

r

Object of class "function": generates random numbers

d

Object of class "function": density function

p

Object of class "function": cumulative function

q

Object of class "function": inverse of the cumulative function

support

Object of class "numeric": a (sorted) vector containing the support of the discrete density 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 "DiscreteDistribution", directly. Class "UnivariateDistribution", by class "DiscreteDistribution". Class "Distribution", by class "DiscreteDistribution".

Methods

-

signature(e1 = "Dirac", e2 = "Dirac")

+

signature(e1 = "Dirac", e2 = "Dirac")

*

signature(e1 = "Dirac", e2 = "Dirac")

/

signature(e1 = "Dirac", e2 = "Dirac"): For the Dirac distribution these operations are trivial.

initialize

signature(.Object = "Dirac"): initialize method

location

signature(object = "Dirac"): returns the slot location of the parameter of the distribution

location<-

signature(object = "Dirac"): modifies the slot location of the parameter of the distribution

log

signature(object = "Dirac"): returns an object of class "Dirac" distribution with log-transformed location parameter.

Math

signature(object = "Dirac"): given a "Math" group generic fun an object of class "Dirac" distribution with fun-transformed location parameter is returned.

further arithmetic methods see operators-methods

See Also

DiracParameter-class DiscreteDistribution-class Naturals-class

Examples

D <- Dirac(location = 0) # D is a Dirac distribution with location=0.
r(D)(1)
# r(D)(1) generates a pseudo-random-number according to a Dirac
# distribution with location = 0,
# which of course will take 0 as value almost surely.
d(D)(0) # Density of this distribution is 1 for x = 0.
p(D)(1) # Probability that x < 1 is 1.
q(D)(.1) # q(D)(x) is always 0 (= location).
location(D) # location of this distribution is 0.
location(D) <- 2 # location of this distribution is now 2.