Class of conditionally centered (partial) influence curves of contamination type for average conditional total variation

*
eta = max(c(x), min(A x Lambda_f, b(x)))*

with lower clipping function *c*, upper clipping function *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("ContTotalVarIC", ...)`

.
More frequently they are created via the generating function
`ContTotalVarIC`

, respectively via the method `generateIC`

.

`CallL2Fam`

:object of class

`"call"`

: creates an object of the underlying L2-differentiable regression type 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.`clipUp`

:object of class

`"RealRandVariable"`

: upper clipping function.`clipLo`

:object of class

`"RealRandVariable"`

: lower clipping function.`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 conditional contamination neighborhood.`neighborRadiusCurve`

:object of class

`"numeric"`

: radius curve of the corresponding conditional contamination neighborhood.

Class `"CondIC"`

, directly.
Class `"IC"`

, by class `"CondIC"`

.
Class `"InfluenceCurve"`

, by class `"CondIC"`

.

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

: replacement function for slot`CallL2Fam`

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

: accessor function for slot`clipLo`

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

: replacement function for slot`clipLo`

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

: accessor function for slot`clipUp`

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

: replacement function for slot`clipUp`

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

: accessor function for slot`stand`

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

: replacement function for slot`stand`

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

: accessor function for slot`lowerCase`

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

: replacement function for slot`lowerCase`

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

: accessor function for slot`neighborRadius`

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

: replacement function for slot`neighborRadius`

.- neighborRadiusCurve
`signature(object = "CondTotalVarIC")`

: accessor function for slot`neighborRadiusCurve`

.- neighborRadiusCurve<-
`signature(object = "CondTotalVarIC")`

: replacement function for slot`neighborRadiusCurve`

.- generateIC
`signature(neighbor = "CondTotalVarNeighborhood", L2Fam = "L2RegTypeFamily")`

: generate an object of class`"CondTotalVarIC"`

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

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.

1 2 | ```
IC1 <- new("CondTotalVarIC")
IC1
``` |

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