Class of (partial) influence curves of total variation type.
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
.
Objects can be created by calls of the form new("TotalVarIC", ...)
.
More frequently they are created via the generating function
TotalVarIC
, respectively via the method generateIC
.
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.
clipLo
:object of class "numeric"
:
lower clipping bound.
clipUp
:object of class "numeric"
:
upper clipping bound.
stand
:object of class "matrix"
:
standardizing matrix.
object of class "OptionalNumeric"
:
optional constant for lower case solution.
neighborRadius
:object of class "numeric"
:
radius of the corresponding (unconditional) contamination
neighborhood.
Class "IC"
, directly.
Class "InfluenceCurve"
, by class "IC"
.
signature(object = "TotalVarIC")
:
replacement function for slot CallL2Fam
.
signature(object = "TotalVarIC")
:
accessor function for slot clipLo
.
signature(object = "TotalVarIC")
:
replacement function for slot clipLo
.
signature(object = "TotalVarIC")
:
accessor function for slot clipUp
.
signature(object = "TotalVarIC")
:
replacement function for slot clipUp
.
signature(object = "TotalVarIC")
:
accessor function for slot stand
.
signature(object = "TotalVarIC")
:
replacement function for slot stand
.
signature(object = "TotalVarIC")
:
accessor function for slot neighborRadius
.
signature(object = "TotalVarIC")
:
replacement function for slot neighborRadius
.
signature(neighbor = "TotalVarNeighborhood", L2Fam = "L2ParamFamily")
:
generate an object of class "TotalVarIC"
. Rarely called directly.
signature(object = "TotalVarIC")
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("TotalVarIC")
plot(IC1)
# }
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