ContIC-class: Influence curve of contamination type

In ROptEstOld: Optimally Robust Estimation - Old Version

Influence curve of contamination type

Description

Class of (partial) influence curves of contamination type; i.e., 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 created via the call in the slot CallL2Fam.

Objects from the Class

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

Slots

CallL2Fam:

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

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.

clip:

object of class "numeric": clipping bound.

cent:

object of class "numeric": centering constant.

stand:

object of class "matrix": standardizing matrix.

lowerCase:

object of class "OptionalNumeric": optional constant for lower case solution.

neighborRadius:

object of class "numeric": radius of the corresponding (unconditional) contamination neighborhood.

Extends

Class "IC", directly.
Class "InfluenceCurve", by class "IC".

Methods

CallL2Fam<-

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

cent

signature(object = "ContIC"): accessor function for slot cent.

cent<-

signature(object = "ContIC"): replacement function for slot cent.

clip

signature(object = "ContIC"): accessor function for slot clip.

clip<-

signature(object = "ContIC"): replacement function for slot clip.

stand

signature(object = "ContIC"): accessor function for slot stand.

stand<-

signature(object = "ContIC"): replacement function for slot stand.

lowerCase

signature(object = "ContIC"): accessor function for slot lowerCase.

lowerCase<-

signature(object = "ContIC"): replacement function for slot lowerCase.

neighborRadius

signature(object = "ContIC"): accessor function for slot neighborRadius.

neighborRadius<-

signature(object = "ContIC"): replacement function for slot neighborRadius.

generateIC

signature(neighbor = "ContNeighborhood", L2Fam = "L2ParamFamily"): generate an object of class "ContIC". Rarely called directly.

show

signature(object = "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 <- new("ContIC")
plot(IC1)

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