Influence curve of total variation type
Class of (partial) influence curves of total variation type. i.e., an influence curves eta of the form
eta = max(c, min(A Lambda, 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".
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.
clipLo object of class "numeric":
lower clipping bound.
clipUp object of class "numeric":
upper clipping bound.
stand object of class "matrix":
standardizing matrix.
weight object of class "BdStWeight":
weight function
biastype object of class "BiasType":
bias type (symmetric/onsided/asymmetric)
normtype object of class "NormType":
norm type (Euclidean, information/self-standardized)
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 = "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(x1 = "TotalVarIC"):
returns clipUp-clipLo.
signature(object = "TotalVarIC"):
replacement function for slot stand.
signature(object = "TotalVarIC"):
replacement function for slot lowerCase.
signature(object = "TotalVarIC"):
generates an object of class "TotalVarNeighborhood" with
radius given in slot neighborRadius.
signature(neighbor = "TotalVarNeighborhood", L2Fam = "L2ParamFamily"):
generate an object of class "TotalVarIC". Rarely called directly.
signature(object = "TotalVarIC")
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.
IC1 <- new("TotalVarIC")
plot(IC1)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.