RobAStBase (version 0.7.1)

ContIC-class: Influence curve of contamination type

Description

Class of (partial) influence curves of contamination type; i.e., influence curves $\eta$ of the form $$\eta = (A\Lambda - a)\min(1,b/|A\Lambda - a|)$$ with clipping bound $b$, centering constant $a$ and standardizing matrix $A$. $\Lambda$ stands for the L2 derivative of the corresponding L2 differentiable parametric family created via the call in the slot CallL2Fam.

docType

class

Objects from the Class

Objects can be created by calls of the form new("ContIC", ...). More frequently they are created via the generating function ContIC, 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("ContIC")
plot(IC1)