Exp-class

0th

Percentile

Class "Exp"

The exponential distribution with rate $\lambda$ has density $$ f(x) = \lambda {e}^{- \lambda x}$$ for $x \ge 0$.

C.f. rexp

Keywords
distribution
Objects from the Class

Objects can be created by calls of the form Exp(rate). This object is an 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)
.withArith
logical: used internally to issue warnings as to interpretation of arithmetics
.withSim
logical: used internally to issue warnings as to accuracy
.logExact
logical: used internally to flag the case where there are explicit formulae for the log version of density, cdf, and quantile function
.lowerExact
logical: used internally to flag the case where there are explicit formulae for the lower tail version of cdf and quantile function
Symmetry
object of class "DistributionSymmetry"; used internally to avoid unnecessary calculations.

Extends

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

Is-Relations

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)

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
*
signature(e1 = "Exp", e2 = "numeric"): For the exponential distribution we use its closedness under positive scaling transformations.

See Also

ExpParameter-class AbscontDistribution-class Reals-class rexp

Aliases
  • Exp-class
  • Exp
  • initialize,Exp-method
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.
is(E, "Gammad") # yes
as(E,"Gammad")
is(E, "Weibull") 
E+E+E ###  a Gammad -distribution
2*E+Gammad(scale=1)
Documentation reproduced from package distr, version 2.6, License: LGPL-3

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