ROptEst (version 0.5.0)

getInfStand: Generic Function for the Computation of the Standardizing Matrix

Description

Generic function for the computation of the standardizing matrix which takes care of the Fisher consistency of the corresponding IC. This function is rarely called directly. It is used to compute optimally robust ICs.

Usage

getInfStand(L2deriv, neighbor, ...)

## S3 method for class 'UnivariateDistribution,ContNeighborhood':
getInfStand(L2deriv, neighbor, clip, cent, trafo)

## S3 method for class 'UnivariateDistribution,TotalVarNeighborhood':
getInfStand(L2deriv, neighbor, clip, cent, trafo)

## S3 method for class 'UnivariateDistribution,ContNeighborhood':
getInfStand(L2deriv, neighbor, Distr, A.comp, stand, clip, cent, trafo)

Arguments

L2deriv

L2-derivative of some L2-differentiable family of probability measures.

neighbor

object of class "Neighborhood"

...

additional parameters

clip

optimal clipping bound.

cent

optimal centering constant.

stand

standardizing matrix.

Distr

object of class "Distribution".

trafo

matrix: transformation of the parameter.

A.comp

matrix: indication which components of the standardizing matrix have to be computed.

Value

• The standardizing matrix is computed.

concept

influence curve

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

ContIC-class, TotalVarIC-class