RobExtremes (version 1.2.0)

GumbelLocationFamily: Generating function for Gumbel location families

Description

Generates an object of class "L2LocationFamily" which represents a Gumbel location family.

Usage

GumbelLocationFamily(loc = 0, scale = 1, trafo)

Arguments

loc

location parameter

scale

scale parameter

trafo

function in param or matrix: transformation of the parameter

Value

Object of class "L2LocationFamily"

Details

The slots of the corresponding L2 differentiable parameteric family are filled.

References

Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.

See Also

L2ParamFamily-class, Gumbel-class

Examples

# NOT RUN {
##current implementation is:
theta <- 0
names(theta) <- "loc"
GL <- ParamFamily(name = "Gumbel location family",
          param = ParamFamParameter(name = "location parameter", main = theta),
          startPar = function(x,...) c(min(x),max(x)),
          distribution = Gumbel(loc = 0, scale = 1), ## scale known!
          modifyParam = function(theta){ Gumbel(loc = theta, scale = 1) },
          props = paste(c("The Gumbel location family is invariant under",
                    "the group of transformations 'g(x) = x + loc'",
                    "with location parameter 'loc'"), collapse = " "))
GL

(G1 <- GumbelLocationFamily())
plot(G1)
Map(L2deriv(G1)[[1]])
checkL2deriv(G1)
# }