Exp-class {distr}R Documentation

Class "Exp"

Description

The exponential distribution with rate λ has density

f(x) = lambda e^(- lambda x)

for x >= 0.

C.f. rexp

Objects from the Class

Objects can be created by calls of the form Exp(rate). This object is a exponential distribution.

Slots

img:
Object of class "Reals": The space of the image of this distribution has got dimension 1 and the name "Real Space".
param:
Object of class "ExpParameter": the parameter of this distribution (rate), declared at its instantiation
r:
Object of class "function": generates random numbers (calls function rexp)
d:
Object of class "function": density function (calls function dexp)
p:
Object of class "function": cumulative function (calls function pexp)
q:
Object of class "function": inverse of the cumulative function (calls function qexp)

Extends

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

Methods

initialize
signature(.Object = "Exp"): initialize method
rate
signature(object = "Exp"): returns the slot rate of the parameter of the distribution
rate<-
signature(object = "Exp"): modifies the slot rate of the parameter of the distribution

Author(s)

Thomas Stabla Thomas.Stabla@uni-bayreuth.de,
Florian Camphausen Florian.Camphausen@uni-bayreuth.de,
Peter Ruckdeschel Peter.Ruckdeschel@uni-bayreuth.de,
Matthias Kohl Matthias.Kohl@uni-bayreuth.de

See Also

ExpParameter-class AbscontDistribution-class Reals-class rexp

Examples

E <- Exp(rate = 1) # E is a exp distribution with rate = 1.
r(E)(1) # one random number generated from this distribution, e.g. 0.4190765
d(E)(1) # Density of this distribution is 0.3678794 for x = 1.
p(E)(1) # Probability that x < 1 is 0.6321206.
q(E)(.1) # Probability that x < 0.1053605 is 0.1.
rate(E) # rate of this distribution is 1.
rate(E) <- 2 # rate of this distribution is now 2.

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