ContIC: Generating function for ContIC-class

In ROptEstOld: Optimally Robust Estimation - Old Version

Generating function for ContIC-class

Description

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

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

with clipping bound b, centering constant 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

ContIC(name, CallL2Fam = call("L2ParamFamily"), 
       Curve = EuclRandVarList(RealRandVariable(Map = c(function(x){x}), 
                                                Domain = Reals())), 
       Risks, Infos, clip = Inf, cent = 0, stand = as.matrix(1), 
       lowerCase = NULL, neighborRadius = 0)

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.
clip	positive real: clipping bound.
cent	real: centering constant
stand	matrix: standardizing matrix
lowerCase	optional constant for lower case solution.
neighborRadius	radius of the corresponding (unconditional) contamination neighborhood.

Value

Object of class "ContIC"

Author(s)

Matthias Kohl [e-mail]

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 <- ContIC()
plot(IC1)

ROptEstOld documentation built on Feb. 4, 2024, 3 p.m.