Class of (partial) influence curves.
Objects can be created by calls of the form new("IC", ...)
.
More frequently they are created via the generating function
IC
.
CallL2Fam
Object of class "call"
:
creates an object of the underlying L2-differentiable
parametric family.
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!
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.
Class "InfluenceCurve"
, directly.
signature(object = "IC")
:
accessor function for slot CallL2Fam
.
signature(object = "IC")
:
replacement function for slot CallL2Fam
.
signature(object = "IC")
:
accessor function for slot modifyIC
.
signature(IC = "IC", L2Fam = "missing")
:
check centering and Fisher consistency of IC
assuming
the L2-differentiable parametric family which can
be generated via the slot CallL2Fam
of IC
.
signature(IC = "IC", L2Fam = "L2ParamFamily")
:
check centering and Fisher consistency of IC
assuming
the L2-differentiable parametric family L2Fam
.
signature(IC = "IC", x = "numeric")
:
evaluate IC
at x
.
signature(IC = "IC", x = "matrix")
:
evaluate IC
at the rows of x
.
signature(object = "IC")
:
Plot absolute and relative information of IC
.
signature(x = "IC", y = "missing")
signature(object = "IC")
Matthias Kohl Matthias.Kohl@stamats.de
Hampel et al. (1986) Robust Statistics. The Approach Based on Influence Functions. New York: Wiley.
Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer.
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.
InfluenceCurve-class
, IC