Class of conditionally centered (partial) influence
curves of contamination type for average conditional contamination
neighborhoods; i.e., influence curves \(\eta\) of the form
$$\eta = (A\Lambda - a)\min(1,b/|A\Lambda - a|)$$
with clipping bound \(b\), centering function \(a\) and
standardizing matrix \(A\). \(\Lambda\) stands for
the L2 derivative of the corresponding L2 differentiable
regression type family created via the call in the slot CallL2Fam
.
Objects can be created by calls of the form new("Av1CondContIC", ...)
.
More frequently they are created via the generating function
Av1CondContIC
, respectively via the method generateIC
.
CallL2Fam
:object of class "call"
:
creates an object of the underlying L2-differentiable
regression type 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 "EuclRandVarList"
:
centering function.
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 average conditional contamination
neighborhood.
Class "CondIC"
, directly.
Class "IC"
, by class "CondIC"
.
Class "InfluenceCurve"
, by class "CondIC"
.
signature(object = "Av1CondContIC")
:
replacement function for slot CallL2Fam
.
signature(object = "Av1CondContIC")
:
accessor function for slot cent
.
signature(object = "Av1CondContIC")
:
replacement function for slot cent
.
signature(object = "Av1CondContIC")
:
accessor function for slot clip
.
signature(object = "Av1CondContIC")
:
replacement function for slot clip
.
signature(object = "Av1CondContIC")
:
accessor function for slot stand
.
signature(object = "Av1CondContIC")
:
replacement function for slot stand
.
signature(object = "Av1CondContIC")
:
accessor function for slot lowerCase
.
signature(object = "Av1CondContIC")
:
replacement function for slot lowerCase
.
signature(object = "Av1CondContIC")
:
accessor function for slot neighborRadius
.
signature(object = "Av1CondContIC")
:
replacement function for slot neighborRadius
.
signature(neighbor = "Av1CondContNeighborhood", L2Fam = "L2RegTypeFamily")
:
generate an object of class "Av1CondContIC"
. Rarely called directly.
signature(object = "Av1CondContIC")
Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer.
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.
# NOT RUN {
IC1 <- new("Av1CondContIC")
IC1
# }
Run the code above in your browser using DataLab