# Gumbel-class

0th

Percentile

##### Gumbel distribution

The Gumbel cumulative distribution function with location parameter loc $= \mu$ and scale parameter scale $= \sigma$ is $$F(x) = \exp(-\exp[-(x-\mu)/\sigma])$$ for all real x, where $\sigma > 0$; c.f. rgumbel. This distribution is also known as extreme value distribution of type I; confer Chapter~22 of Johnson et al. (1995).

Keywords
distribution
##### Note

This class is based on the code provided by the package evd.

##### Objects from the Class

Objects can be created by calls of the form new("Gumbel", loc, scale). More frequently they are created via the generating function Gumbel.

##### Extends

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

Gumbel

##### References

Johnson et al. (1995) Continuous Univariate Distributions. Vol. 2. 2nd ed. New York: Wiley.

rgumbel, AbscontDistribution-class

##### Aliases
• Gumbel-class
• initialize,Gumbel-method
• loc,Gumbel-method
• loc<-,Gumbel-method
• scale,Gumbel-method
• scale<-,Gumbel-method
##### Examples
(G1 <- new("Gumbel", loc = 1, scale = 2))
plot(G1)
loc(G1)
scale(G1)
loc(G1) <- -1
scale(G1) <- 2
plot(G1)
Documentation reproduced from package distrEx, version 0.4-2, License: GPL (version 2 or later)

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