Generic function for the computation of the optimal centering constant/function (contamination neighborhoods) respectively, of the optimal lower clipping bound/function (total variation neighborhoods). This function is rarely called directly. It is used to compute optimally robust ICs.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59  getInfCentRegTS(ErrorL2deriv, Regressor, neighbor, ...)
## S4 method for signature
## 'UnivariateDistribution,UnivariateDistribution,ContNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, clip, cent, stand, z.comp)
## S4 method for signature
## 'UnivariateDistribution,UnivariateDistribution,TotalVarNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, clip, cent, z.comp)
## S4 method for signature
## 'UnivariateDistribution,numeric,CondTotalVarNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, clip, cent, z.comp)
## S4 method for signature
## 'UnivariateDistribution,
## UnivariateDistribution,
## Av1CondContNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, clip, cent, stand, z.comp, x.vec)
## S4 method for signature
## 'UnivariateDistribution,
## UnivariateDistribution,
## Av1CondTotalVarNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, clip, cent, stand, z.comp, x.vec,
tol.z)
## S4 method for signature
## 'UnivariateDistribution,MultivariateDistribution,ContNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, clip, cent, stand, z.comp)
## S4 method for signature
## 'UnivariateDistribution,
## MultivariateDistribution,
## Av1CondContNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, clip, cent, stand, z.comp, x.vec)
## S4 method for signature
## 'UnivariateDistribution,Distribution,Av2CondContNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, clip, cent, stand, z.comp, tol.z)
## S4 method for signature 'RealRandVariable,Distribution,ContNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, ErrorDistr, stand, cent, clip,
z.comp)
## S4 method for signature
## 'RealRandVariable,Distribution,Av1CondContNeighborhood'
getInfCentRegTS(
ErrorL2deriv, Regressor, neighbor, ErrorDistr, stand, cent, clip,
z.comp, x.vec)

ErrorL2deriv 
L2derivative of 
Regressor 
regressor. 
neighbor 
object of class 
... 
additional parameters. 
clip 
optimal clipping bound. 
cent 
optimal centering constant/function. 
stand 
standardizing matrix. 
z.comp 
which components of the centering constant/function have to be computed. 
x.vec 
(approximated) support of 
tol.z 
the desired accuracy (convergence tolerance). 
ErrorDistr 
error distribution. 
The optimal centering constant/function is computed.
computation of optimal centering constant.
computation of lower clipping bound.
computation of lower clipping bound.
computation of optimal centering function.
computation of optimal lower clipping function.
computation of optimal centering constant.
computation of optimal centering function.
computation of optimal lower clipping function.
computation of optimal centering constant.
computation of optimal centering constant.
computation of optimal centering function.
Matthias Kohl Matthias.Kohl@stamats.de
Rieder, H. (1980) Estimates derived from robust tests. Ann. Stats. 8: 106–115.
Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer.
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.
ContICclass
, Av1CondContICclass
,
Av2CondContICclass
, Av1CondTotalVarICclass
,
CondContICclass
, CondTotalVarICclass
Questions? Problems? Suggestions? Tweet to @rdrrHQ or email at ian@mutexlabs.com.
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