Exp-class
From distr v2.3.1
by Peter Ruckdeschel
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.
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)
concept
- Exponential distribution
- memoryless distribution
- absolutely continuous distribution
- S4 distribution class
- generating function
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.
is(E, "Gammad") # yes
as(E,"Gammad")
is(E, "Weibull")
E+E+E ### a Gammad -distribution
2*E+Gammad(scale=1)
Community examples
Looks like there are no examples yet.