ROptRegTS (version 1.2.0)

Av1CondTotalVarNeighborhood-class: Average conditional total variation neighborhood

Description

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

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".

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

# NOT RUN {
new("Av1CondTotalVarNeighborhood")
# }