Class "DExp"
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.
imgObject of class "Reals":
The space of the image of this distribution has got dimension 1
and the name "Real Space".
paramObject of class "ExpParameter":
the parameter of this distribution (rate), declared at its instantiation
rObject of class "function":
generates random numbers (calls function rexp)
dObject of class "function":
density function (calls function dexp)
pObject of class "function":
cumulative function (calls function pexp)
qObject of class "function":
inverse of the cumulative function (calls function qexp)
.withArithlogical: used internally to issue warnings as to interpretation of arithmetics
.withSimlogical: used internally to issue warnings as to accuracy
.logExactlogical: used internally to flag the case where there are explicit formulae for the log version of density, cdf, and quantile function
.lowerExactlogical: used internally to flag the case where there are explicit formulae for the lower tail version of cdf and quantile function
Symmetryobject of class "DistributionSymmetry";
used internally to avoid unnecessary calculations.
Class "AbscontDistribution", directly.
Class "UnivariateDistribution", by class "AbscontDistribution".
Class "Distribution", by class "AbscontDistribution".
signature(.Object = "DExp"):
initialize method
signature(object = "DExp"):
returns the slot rate of the parameter of the distribution
signature(object = "DExp"):
modifies the slot rate of the parameter of the distribution
signature(e1 = "DExp", e2 = "numeric"):
For the Laplace distribution we use its closedness under scaling transformations.
Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de
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. ## in RStudio or Jupyter IRKernel, use q.l(.)(.) instead of q(.)(.) rate(D) # rate of this distribution is 1. rate(D) <- 2 # rate of this distribution is now 2. 3*D ### still a DExp -distribution
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