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 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
.
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"
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!
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.
weight
:object of class "HampelWeight"
:
weight function
biastype
:object of class "BiasType"
:
bias type (symmetric/onsided/asymmetric)
normtype
:object of class "NormType"
:
norm type (Euclidean, information/self-standardized)
lowerCase
:object of class "OptionalNumeric"
:
optional constant for lower case solution.
neighborRadius
:object of class "numeric"
:
radius of the corresponding (unconditional) contamination
neighborhood.
Class "HampIC"
, directly.
Class "IC"
, by class "HampIC"
.
Class "InfluenceCurve"
, by class "IC"
.
signature(object = "ContIC")
:
replacement function for slot CallL2Fam
.
signature(object = "ContIC")
:
accessor function for slot cent
.
signature(object = "ContIC")
:
replacement function for slot cent
.
signature(x1 = "ContIC")
:
accessor function for slot clip
.
signature(object = "ContIC")
:
replacement function for slot clip
.
signature(object = "ContIC")
:
replacement function for slot stand
.
signature(object = "ContIC")
:
replacement function for slot lowerCase
.
signature(object = "ContIC")
:
generates an object of class "ContNeighborhood"
with
radius given in slot neighborRadius
.
signature(neighbor = "ContNeighborhood", L2Fam = "L2ParamFamily")
:
generate an object of class "ContIC"
. Rarely called directly.
signature(object = "ContIC")
Matthias Kohl Matthias.Kohl@stamats.de
Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer.
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.
IC-class
, ContIC
HampIC-class
IC1 <- new("ContIC")
plot(IC1)
Run the code above in your browser using DataLab