Av1CondTotalVarNeighborhood-class {ROptRegTS}R Documentation

Average conditional total variation neighborhood

Description

Class of average conditional total variation neighborhoods (exponent == 1); i.e. only radius curves varepsilon with ||varepsilon||_1 <= 1.

Objects from the Class

Objects can be created by calls of the form new("Av1CondTotalVarNeighborhood", ...). More frequently they are created via the generating function Av1CondTotalVarNeighborhood.

Slots

type:
Object of class "character": “average conditional total variation neighborhood”.
radius:
Object of class "numeric": neighborhood radius.
radiusCurve:
Object of class "function": radius curve with L1 norm <= 1.
exponent:
equal to 1.

Extends

Class "Av1CondNeighborhood", directly.
Class "AvCondNeighborhood", by class "Av1CondNeighborhood".
Class "CondNeighborhood", by class "Av1CondNeighborhood".
Class "Neighborhood", by class "Av1CondNeighborhood".

Author(s)

Matthias Kohl Matthias.Kohl@stamats.de

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

Av1CondNeighborhood-class

Examples

new("Av1CondTotalVarNeighborhood")

[Package ROptRegTS version 0.6.1 Index]