Av1CondTotalVarIC-class {ROptRegTS} | R Documentation |
Class of conditionally centered (partial) influence curves of contamination type for average conditional total variation neighborhoods; i.e., influence curves eta of the form
eta = A x Lambda_f min(1, max(c(x)/(|Ax|Lambda_f), (c(x) + b)/(|Ax|Lambda_f)))
with lower clipping function c, standardized bias b and standardizing matrix A. Lambda_f stands for the L2 derivative of the corresponding error distribution.
Objects can be created by calls of the form new("Av1CondTotalVarIC", ...)
.
More frequently they are created via the generating function
Av1CondTotalVarIC
, respectively via the method generateIC
.
CallL2Fam
:"call"
:
creates an object of the underlying L2-differentiable
regression type family. name
:"character"
Curve
:"EuclRandVarList"
Risks
:"list"
:
list of risks; cf. RiskType-class
. Infos
:"matrix"
with two columns named method
and message
:
additional informations. clipUp
:"numeric"
:
standardized bias. clipLo
:"RealRandVariable"
:
lower clipping function. stand
:"matrix"
:
standardizing matrix. lowerCase
:"OptionalNumeric"
:
optional constant for lower case solution. neighborRadius
:"numeric"
:
radius of the corresponding average conditional contamination
neighborhood.
Class "CondIC"
, directly.
Class "IC"
, by class "CondIC"
.
Class "InfluenceCurve"
, by class "CondIC"
.
signature(object = "Av1CondTotalVarIC")
:
replacement function for slot CallL2Fam
. signature(object = "Av1CondTotalVarIC")
:
accessor function for slot clipLo
. signature(object = "Av1CondTotalVarIC")
:
replacement function for slot clipLo
. signature(object = "Av1CondTotalVarIC")
:
accessor function for slot clipUp
. signature(object = "Av1CondTotalVarIC")
:
replacement function for slot clipUp
. signature(object = "Av1CondTotalVarIC")
:
accessor function for slot stand
. signature(object = "Av1CondTotalVarIC")
:
replacement function for slot stand
. signature(object = "Av1CondTotalVarIC")
:
accessor function for slot lowerCase
. signature(object = "Av1CondTotalVarIC")
:
replacement function for slot lowerCase
. signature(object = "Av1CondTotalVarIC")
:
accessor function for slot neighborRadius
. signature(object = "Av1CondTotalVarIC")
:
replacement function for slot neighborRadius
. signature(neighbor = "Av1CondTotalVarNeighborhood", L2Fam = "L2RegTypeFamily")
:
generate an object of class "Av1CondTotalVarIC"
. Rarely called directly. signature(object = "Av1CondTotalVarIC")
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.
CondIC-class
, Av1CondTotalVarIC
IC1 <- new("Av1CondTotalVarIC") IC1