# getInfV: Generic Function for the Computation of the asymptotic... In ROptEst: Optimally Robust Estimation

## Description

Generic function for the computation of the optimal clipping bound in case of infinitesimal robust models. This function is rarely called directly. It is used to compute optimally robust ICs.

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24``` ```getInfV(L2deriv, neighbor, biastype, ...) ## S4 method for signature 'UnivariateDistribution,ContNeighborhood,BiasType' getInfV(L2deriv, neighbor, biastype, clip, cent, stand) ## S4 method for signature ## 'UnivariateDistribution,TotalVarNeighborhood,BiasType' getInfV(L2deriv, neighbor, biastype, clip, cent, stand) ## S4 method for signature 'RealRandVariable,ContNeighborhood,BiasType' getInfV(L2deriv, neighbor, biastype, Distr, V.comp, cent, stand, w, ...) ## S4 method for signature 'RealRandVariable,TotalVarNeighborhood,BiasType' getInfV(L2deriv, neighbor, biastype, Distr, V.comp, cent, stand, w, ...) ## S4 method for signature ## 'UnivariateDistribution,ContNeighborhood,onesidedBias' getInfV(L2deriv, neighbor, biastype, clip, cent, stand, ...) ## S4 method for signature ## 'UnivariateDistribution,ContNeighborhood,asymmetricBias' getInfV(L2deriv, neighbor, biastype, clip, cent, stand) ```

## Arguments

 `L2deriv` L2-derivative of some L2-differentiable family of probability measures. `neighbor` object of class `"Neighborhood"`. `biastype` object of class `"BiasType"`. `...` additional parameters, in particular for expectation `E`. `clip` positive real: clipping bound `cent` optimal centering constant. `stand` standardizing matrix. `Distr` standardizing matrix. `V.comp` matrix: indication which components of the standardizing matrix have to be computed. `w` object of class `RobWeight`; current weight.

## Value

The asymptotic variance of an ALE to IC of Hampel type is computed.

## Author(s)

Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de

## References

Rieder, H. (1980) Estimates derived from robust tests. Ann. Stats. 8: 106–115.

Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer.

Ruckdeschel, P. (2005) Optimally One-Sided Bounded Influence Curves. Mathematical Methods in Statistics 14(1), 105-131.

Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.

`ContIC-class`, `TotalVarIC-class`

ROptEst documentation built on May 2, 2019, 3:42 a.m.