Generates an object of class "ContIC"
;
i.e., an 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 which can be created via CallL2Fam
.
ContIC(name, CallL2Fam = call("L2ParamFamily"),
Curve = EuclRandVarList(RealRandVariable(Map = c(function(x){x}),
Domain = Reals())),
Risks, Infos, clip = Inf, cent = 0, stand = as.matrix(1),
lowerCase = NULL, neighborRadius = 0, w = new("HampelWeight"),
normtype = NormType(), biastype = symmetricBias(),
modifyIC = NULL)
Object of class "ContIC"
object of class "character"
.
object of class "call"
:
creates an object of the underlying L2-differentiable
parametric family.
object of class "EuclRandVarList"
object of class "list"
:
list of risks; cf. RiskType-class
.
matrix of characters with two columns
named method
and message
: additional informations.
positive real: clipping bound.
real: centering constant
matrix: standardizing matrix
HampelWeight: weight object
optional constant for lower case solution.
radius of the corresponding (unconditional) contamination neighborhood.
BiasType: type of the bias
NormType: type of the norm
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!
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