IC-class: Influence curve

In RobAStBase: Robust Asymptotic Statistics

Influence curve

Description

Class of (partial) influence curves.

Objects from the Class

Objects can be created by calls of the form new("IC", ...). More frequently they are created via the generating function IC.

Slots

CallL2Fam

Object of class "call": creates an object of the underlying L2-differentiable parametric family.

modifyIC

object of class "OptionalFunction": function of four arguments: (1) L2Fam an L2 parametric family (2) IC an optional influence curve, (3) withMakeIC a logical argument whether to enforce the IC side conditions by makeIC, and (4) ... for arguments to be passed to calls to E in makeIC. Returns an object of class "IC". This function is mainly used for internal computations!

name

Object of class "character".

Curve

Object of class "EuclRandVarList".

Risks

Object of class "list": list of risks; cf. RiskType-class.

Infos

Object of class "matrix" with two columns named method and message: additional informations.

Extends

Class "InfluenceCurve", directly.

Methods

CallL2Fam

signature(object = "IC"): accessor function for slot CallL2Fam.

CallL2Fam<-

signature(object = "IC"): replacement function for slot CallL2Fam.

modifyIC

signature(object = "IC"): accessor function for slot modifyIC.

checkIC

signature(IC = "IC", L2Fam = "missing"): check centering and Fisher consistency of IC assuming the L2-differentiable parametric family which can be generated via the slot CallL2Fam of IC.

checkIC

signature(IC = "IC", L2Fam = "L2ParamFamily"): check centering and Fisher consistency of IC assuming the L2-differentiable parametric family L2Fam.

evalIC

signature(IC = "IC", x = "numeric"): evaluate IC at x.

evalIC

signature(IC = "IC", x = "matrix"): evaluate IC at the rows of x.

infoPlot

signature(object = "IC"): Plot absolute and relative information of IC.

plot

signature(x = "IC", y = "missing")

show

signature(object = "IC")

Author(s)

Matthias Kohl [e-mail]

References

Hampel et al. (1986) Robust Statistics. The Approach Based on Influence Functions. New York: Wiley.

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

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

See Also

InfluenceCurve-class, IC

Examples

IC1 <- new("IC")
plot(IC1)

RobAStBase documentation built on April 12, 2025, 1:39 a.m.