Exp-class {distr} | R Documentation |
The exponential distribution with rate λ has density
f(x) = lambda e^(- lambda x)
for x >= 0.
C.f. rexp
Objects can be created by calls of the form Exp(rate)
.
This object is an exponential distribution.
img
:"Reals"
:
The space of the image of this distribution has got dimension 1
and the name "Real Space".param
:"ExpParameter"
:
the parameter of this distribution (rate), declared at its instantiation r
:"function"
:
generates random numbers (calls function rexp)d
:"function"
:
density function (calls function dexp)p
:"function"
:
cumulative function (calls function pexp)q
:"function"
:
inverse of the cumulative function (calls function qexp)
Class "ExpOrGammaOrChisq"
, directly.
Class "AbscontDistribution"
, by class "ExpOrGammaOrChisq"
.
Class "UnivariateDistribution"
, by class "AbscontDistribution"
.
Class "Distribution"
, by class "AbscontDistribution"
.
By means of setIs
, R ``knows'' that a distribution object obj
of class "Exp"
also is
a Gamma distribution with parameters shape = 1, scale = 1/rate(obj)
and a Weibull distribution with
parameters shape = 1, scale = 1/rate(obj)
signature(.Object = "Exp")
:
initialize methodsignature(object = "Exp")
:
returns the slot rate of the parameter of the distributionsignature(object = "Exp")
:
modifies the slot rate of the parameter of the distributionsignature(e1 = "Exp", e2 = "numeric")
:
For the exponential distribution we use its closedness under positive scaling transformations.
Thomas Stabla statho3@web.de,
Florian Camphausen fcampi@gmx.de,
Peter Ruckdeschel Peter.Ruckdeschel@itwm.fraunhofer.de,
Matthias Kohl Matthias.Kohl@stamats.de
ExpParameter-class
AbscontDistribution-class
Reals-class
rexp
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. is(E, "Gammad") # yes as(E,"Gammad") is(E, "Weibull") E+E+E ### a Gammad -distribution 2*E+Gammad(scale=1)