Description Objects from the Class Slots Extends Methods Author(s) References See Also Examples

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`

.

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`

.

`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"`

`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.`clip`

:object of class

`"numeric"`

: clipping bound.`cent`

:object of class

`"numeric"`

: centering constant.`stand`

:object of class

`"matrix"`

: standardizing matrix.`lowerCase`

:object of class

`"OptionalNumeric"`

: optional constant for lower case solution.`neighborRadius`

:object of class

`"numeric"`

: radius of the corresponding (unconditional) contamination neighborhood.

Class `"IC"`

, directly.

Class `"InfluenceCurve"`

, by class `"IC"`

.

- CallL2Fam<-
`signature(object = "ContIC")`

: replacement function for slot`CallL2Fam`

.- cent
`signature(object = "ContIC")`

: accessor function for slot`cent`

.- cent<-
`signature(object = "ContIC")`

: replacement function for slot`cent`

.- clip
`signature(object = "ContIC")`

: accessor function for slot`clip`

.- clip<-
`signature(object = "ContIC")`

: replacement function for slot`clip`

.- stand
`signature(object = "ContIC")`

: accessor function for slot`stand`

.- stand<-
`signature(object = "ContIC")`

: replacement function for slot`stand`

.- lowerCase
`signature(object = "ContIC")`

: accessor function for slot`lowerCase`

.- lowerCase<-
`signature(object = "ContIC")`

: replacement function for slot`lowerCase`

.- neighborRadius
`signature(object = "ContIC")`

: accessor function for slot`neighborRadius`

.- neighborRadius<-
`signature(object = "ContIC")`

: replacement function for slot`neighborRadius`

.- generateIC
`signature(neighbor = "ContNeighborhood", L2Fam = "L2ParamFamily")`

: generate an object of class`"ContIC"`

. Rarely called directly.- show
`signature(object = "ContIC")`

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.

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