Generates an object of class "TotalVarIC";
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.
TotalVarIC(name, CallL2Fam = call("L2ParamFamily"),
Curve = EuclRandVarList(RealRandVariable(Map = c(function(x) {x}),
Domain = Reals())),
Risks, Infos, clipLo = -Inf, clipUp = Inf, stand = as.matrix(1),
lowerCase = NULL, neighborRadius = 0, w = new("BdStWeight"),
normtype = NormType(), biastype = symmetricBias(),
modifyIC = NULL)Object of class "TotalVarIC"
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.
negative real: lower clipping bound.
positive real: lower clipping bound.
matrix: standardizing matrix
BdStWeight: 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