# 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.

##### 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

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.
2*E+Gammad(scale=1)