distr (version 1.8)

AbscontDistribution-class: Class "AbscontDistribution"

Description

The AbscontDistribution-class is the mother-class of the classes Beta, Cauchy, Chisq, Exp, F, Gammad, Lnorm, Logis, Norm, T, Unif and Weibull. Further absolutely continuous distributions can be defined either by declaration of own random number generator, density, cumulative distribution and quantile functions, or as result of a convolution of two absolutely continuous distributions or by application of a mathematical operator to an absolutely continuous distribution. An additional way is, to specify only the random number generator. The function RtoDPQ then approximates the three remaining slots d, p and q by random sampling.

Objects from the Class

Objects can be created by calls of the form new("AbscontDistribution", r, d, p, q). The result of this call is an absolutely continuous distribution.

Extends

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

See Also

Parameter-class UnivariateDistribution-class Beta-class Cauchy-class Chisq-class Exp-class Fd-class Gammad-class Lnorm-class Logis-class Norm-class Td-class Unif-class Weibull-class DiscreteDistribution-class Reals-class RtoDPQ

Examples

N = Norm() # N is a normal distribution with mean=0 and sd=1.
E = Exp() # E is an exponential distribution with rate=1.
A1 = E+1 # a new absolutely continuous distributions with exact slots d, p, q
A2 = A1*3 # a new absolutely continuous distributions with exact slots d, p, q
A3 = N*0.9 + E*0.1 # a new absolutely continuous distribution with approximated slots d, p, q
r(A3)(1) # one random number generated from this distribution, e.g. -0.7150937
d(A3)(0) # The (approximated) density for x=0 is 0.4379882.
p(A3)(0) # The (approximated) probability that x <= 0 is 0.4562021.
q(A3)(.1) # The (approximated) 10 percent quantile is 0.1.

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