| 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