CondContIC {ROptRegTS}R Documentation

Generating function for CondContIC-class

Description

Generates an object of class "CondContIC"; i.e., an influence curves eta of the form

eta = (A Lambda - a)min(1, b/|A Lambda - a|)

with clipping function b, centering function a and standardizing matrix A. Lambda stands for the L2 derivative of the corresponding L2 differentiable parametric family which can be created via CallL2Fam.

Usage

CondContIC(name, CallL2Fam = call("L2RegTypeFamily"),
       Curve = EuclRandVarList(RealRandVariable(Map = list(function(x){x[1]*x[2]}), 
                                                Domain = EuclideanSpace(dimension = 2))), 
       Risks, Infos, 
       clip = RealRandVariable(Map = list(function(x){ Inf }), Domain = Reals()), 
       stand = as.matrix(1), 
       cent = EuclRandVarList(RealRandVariable(Map = list(function(x){numeric(length(x))}),
                                               Domain = EuclideanSpace(dimension = 2))), 
       lowerCase = NULL, neighborRadius = 0, neighborRadiusCurve = function(x){1})

Arguments

name object of class "character".
CallL2Fam object of class "call": creates an object of the underlying L2-differentiable regression type family.
Curve object of class "EuclRandVarList"
Risks object of class "list": list of risks; cf. RiskType-class.
Infos matrix of characters with two columns named method and message: additional informations.
clip object of class "RealRandVariable": clipping function.
cent object of class "EuclRandVarList": centering function.
stand matrix: standardizing matrix.
lowerCase optional constant for lower case solution.
neighborRadius radius of the corresponding conditional contamination neighborhood.
neighborRadiusCurve radius curve of the corresponding conditional contamination neighborhood.

Value

Object of class "CondContIC"

Author(s)

Matthias Kohl Matthias.Kohl@stamats.de

References

Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer.

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

See Also

CondIC-class, CondContIC-class

Examples

IC1 <- CondContIC()
IC1

[Package ROptRegTS version 0.6.1 Index]