DExp-class {distr} | R Documentation |
The double exponential or Laplace distribution with rate λ has density
f(x) = 1/2 lambda e^(- lambda |x|)
Objects can be created by calls of the form DExp(rate)
.
This object is a double exponential (or Laplace) 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 "AbscontDistribution"
, directly.
Class "UnivariateDistribution"
, by class "AbscontDistribution"
.
Class "Distribution"
, by class "AbscontDistribution"
.
signature(.Object = "DExp")
:
initialize methodsignature(object = "DExp")
:
returns the slot rate of the parameter of the distributionsignature(object = "DExp")
:
modifies the slot rate of the parameter of the distributionsignature(e1 = "DExp", e2 = "numeric")
:
For the Laplace distribution we use its closedness under scaling transformations.Peter Ruckdeschel Peter.Ruckdeschel@itwm.fraunhofer.de
Exp-class
ExpParameter-class
AbscontDistribution-class
Reals-class
rexp
D <- DExp(rate = 1) # D is a Laplace distribution with rate = 1. r(D)(1) # one random number generated from this distribution, e.g. 0.4190765 d(D)(1) # Density of this distribution is 0.1839397 for x = 1. p(D)(1) # Probability that x < 1 is 0.8160603. q(D)(.1) # Probability that x < -1.609438 is 0.1. rate(D) # rate of this distribution is 1. rate(D) <- 2 # rate of this distribution is now 2. 3*D ### still a DExp -distribution