RobAStBase (version 0.7.1)

TotalVarIC-class: Influence curve of total variation type

Description

Class of (partial) influence curves of total variation type. 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.

docType

class

Objects from the Class

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.

Extends

Class "HampIC", directly. Class "IC", by class "HampIC". Class "InfluenceCurve", by class "IC".

concept

influence curve

References

Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer. Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.

See Also

IC-class, ContIC, HampIC-class

Examples

IC1 <- new("TotalVarIC")
plot(IC1)