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

Class of (partial) influence curves of total variation type.
i.e., an influence curves *eta* of the form

*eta = max(c, min(A Lambda, 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`

.

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`

.

`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.`clipLo`

:object of class

`"numeric"`

: lower clipping bound.`clipUp`

:object of class

`"numeric"`

: upper clipping bound.`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 = "TotalVarIC")`

: replacement function for slot`CallL2Fam`

.- clipLo
`signature(object = "TotalVarIC")`

: accessor function for slot`clipLo`

.- clipLo<-
`signature(object = "TotalVarIC")`

: replacement function for slot`clipLo`

.- clipUp
`signature(object = "TotalVarIC")`

: accessor function for slot`clipUp`

.- clipUp<-
`signature(object = "TotalVarIC")`

: replacement function for slot`clipUp`

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

: accessor function for slot`stand`

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

: replacement function for slot`stand`

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

: accessor function for slot`neighborRadius`

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

: replacement function for slot`neighborRadius`

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

: generate an object of class`"TotalVarIC"`

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

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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