TotalVarIC {RobAStBase}R Documentation

Generating function for TotalVarIC-class

Description

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

eta = max(c, min(A Lambda, d))

with lower clipping bound c, upper clipping bound d and standardizing matrix A. Lambda stands for the L2 derivative of the corresponding L2 differentiable parametric family which can be created via CallL2Fam.

Usage

TotalVarIC(name, CallL2Fam = call("L2ParamFamily"), 
           Curve = EuclRandVarList(RealRandVariable(Map = c(function(x) {x}), 
                                                    Domain = Reals())), 
           Risks, Infos, clipLo = -Inf, clipUp = Inf, stand = as.matrix(1), 
           lowerCase = NULL, neighborRadius = 0, w = new("BdStWeight"),
           normtype = NormType(), biastype = symmetricBias(),
           modifyIC = NULL)

Arguments

name object of class "character".
CallL2Fam object of class "call": creates an object of the underlying L2-differentiable parametric 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.
clipLo negative real: lower clipping bound.
clipUp positive real: lower clipping bound.
stand matrix: standardizing matrix
w BdStWeight: weight object
lowerCase optional constant for lower case solution.
neighborRadius radius of the corresponding (unconditional) contamination neighborhood.
biastype BiasType: type of the bias
normtype NormType: type of the norm
modifyIC object of class "OptionalFunction": function of two arguments, which are an L2 parametric family and an optional influence curve. Returns an object of class "IC". This function is mainly used for internal computations!

Value

Object of class "TotalVarIC"

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

IC-class, ContIC

Examples

IC1 <- TotalVarIC()
plot(IC1)

[Package RobAStBase version 0.1.5 Index]