| Gumbel-class {distrEx} | R Documentation |
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).
Objects can be created by calls of the form new("Gumbel", loc, scale).
More frequently they are created via the generating function
Gumbel.
img:"Reals". param:"GumbelParameter". r:rgumbeld:dgumbelp:pgumbelq:qgumbel
Class "AbscontDistribution", directly.
Class "UnivariateDistribution", by class "AbscontDistribution".
Class "Distribution", by class "AbscontDistribution".
signature(.Object = "Gumbel"): initialize method. signature(object = "Gumbel"): wrapped access method for
slot loc of slot param. signature(x = "Gumbel"): wrapped access method for
slot scale of slot param. signature(object = "Gumbel"): wrapped replace method for
slot loc of slot param. signature(x = "Gumbel"): wrapped replace method for
slot scale of slot param. This class is based on the code provided by the package evd.
Matthias Kohl Matthias.Kohl@stamats.de
Johnson et al. (1995) Continuous Univariate Distributions. Vol. 2. 2nd ed. New York: Wiley.
rgumbel, AbscontDistribution-class
(G1 <- new("Gumbel", loc = 1, scale = 2))
plot(G1)
loc(G1)
scale(G1)
loc(G1) <- -1
scale(G1) <- 2
plot(G1)