Class of conditionally centered (partial) influence curves of contamination type for average conditional total variation neighborhoods; i.e., influence curves \(\eta\) of the form $$\eta = A x \Lambda_f\min(1,\max(c(x)/(|Ax|\Lambda_f), (c(x)+b)/(|Ax|\Lambda_f)))$$ with lower clipping function \(c\), standardized bias \(b\) and standardizing matrix \(A\). \(\Lambda_f\) stands for the L2 derivative of the corresponding error distribution.
Objects can be created by calls of the form new("Av1CondTotalVarIC", ...)
.
More frequently they are created via the generating function
Av1CondTotalVarIC
, 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.
clipUp
:object of class "numeric"
:
standardized bias.
clipLo
:object of class "RealRandVariable"
:
lower clipping 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 = "Av1CondTotalVarIC")
:
replacement function for slot CallL2Fam
.
signature(object = "Av1CondTotalVarIC")
:
accessor function for slot clipLo
.
signature(object = "Av1CondTotalVarIC")
:
replacement function for slot clipLo
.
signature(object = "Av1CondTotalVarIC")
:
accessor function for slot clipUp
.
signature(object = "Av1CondTotalVarIC")
:
replacement function for slot clipUp
.
signature(object = "Av1CondTotalVarIC")
:
accessor function for slot stand
.
signature(object = "Av1CondTotalVarIC")
:
replacement function for slot stand
.
signature(object = "Av1CondTotalVarIC")
:
accessor function for slot lowerCase
.
signature(object = "Av1CondTotalVarIC")
:
replacement function for slot lowerCase
.
signature(object = "Av1CondTotalVarIC")
:
accessor function for slot neighborRadius
.
signature(object = "Av1CondTotalVarIC")
:
replacement function for slot neighborRadius
.
signature(neighbor = "Av1CondTotalVarNeighborhood", L2Fam = "L2RegTypeFamily")
:
generate an object of class "Av1CondTotalVarIC"
. Rarely called directly.
signature(object = "Av1CondTotalVarIC")
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("Av1CondTotalVarIC")
IC1
# }
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