RobAStBase (version 0.7.1)

TotalVarIC: Generating function for TotalVarIC-class

Description

Generates an object of class "TotalVarIC"; i.e., an influence curves $\eta$ of the form $$\eta = c \vee A\Lambda \wedge d$$ 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)

Value

Object of class "TotalVarIC"

concept

influence curve

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)