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
:rgumbel
d
:dgumbel
p
:pgumbel
q
: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
. +
signature(e1 = "Gumbel", e2 = "numeric")
: result again of
class "Gumbel"
; exact. *
signature(e1 = "Gumbel", e2 = "numeric")
: result again of
class "Gumbel"
; exact. 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)