GumbelLocationFamily {RobExtremes} | R Documentation |
Generates an object of class "L2LocationFamily"
which
represents a Gumbel location family.
GumbelLocationFamily(loc = 0, scale = 1, trafo)
loc |
location parameter |
scale |
scale parameter |
trafo |
function in |
The slots of the corresponding L2 differentiable parameteric family are filled.
Object of class "L2LocationFamily"
Matthias Kohl Matthias.Kohl@stamats.de
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.
L2ParamFamily-class
, Gumbel-class
##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)