# Optimally Robust Estimation - Old Version

## Documentation for package ‘ROptEstOld’ version 1.2.0

- DESCRIPTION file.
- Package NEWS.

## Help Pages

A B C D E F G I K L M N O P R S T U V W misc

## -- A --

addInfo<- | Influence curve
addInfo<--method | Influence curve
addProp<- | Family of probability measures
addProp<--method | Family of probability measures
addRisk<- | Influence curve
addRisk<--method | Influence curve
APERYCONSTANT | Built-in Constants in package ROptEstOld
asBias | Generating function for asBias-class
asBias-class | Standardized Asymptotic Bias
asCov | Generating function for asCov-class
asCov-class | Asymptotic covariance
asGRisk-class | Convex asymptotic risk
asHampel | Generating function for asHampel-class
asHampel-class | Asymptotic Hampel risk
asMSE | Generating function for asMSE-class
asMSE-class | Asymptotic mean square error
asRisk-class | Aymptotic risk
asUnOvShoot | Generating function for asUnOvShoot-class
asUnOvShoot-class | Asymptotic under-/overshoot probability

## -- B --

BinomFamily | Generating function for Binomial families
bound | Asymptotic Hampel risk
bound-method | Asymptotic Hampel risk
bound-method | Finite-sample Hampel risk

## -- C --

CallL2Fam | Influence curve
CallL2Fam-method | Influence curve
CallL2Fam<- | Influence curve
CallL2Fam<--method | Influence curve of contamination type
CallL2Fam<--method | Influence curve
CallL2Fam<--method | Influence curve of total variation type
cent | Influence curve of contamination type
cent-method | Influence curve of contamination type
cent<- | Influence curve of contamination type
cent<--method | Influence curve of contamination type
center | Robust model
center-method | Robust model
center<- | Robust model
center<--method | Robust model
checkIC | Generic Function for Checking ICs
checkIC-method | Influence curve
checkL2deriv | Generic function for checking L2-derivatives
checkL2deriv-method | L2 differentiable parametric family
clip | Influence curve of contamination type
clip-method | Influence curve of contamination type
clip<- | Influence curve of contamination type
clip<--method | Influence curve of contamination type
clipLo | Influence curve of total variation type
clipLo-method | Influence curve of total variation type
clipLo<- | Influence curve of total variation type
clipLo<--method | Influence curve of total variation type
clipUp | Influence curve of total variation type
clipUp-method | Influence curve of total variation type
clipUp<- | Influence curve of total variation type
clipUp<--method | Influence curve of total variation type
ContIC | Generating function for ContIC-class
ContIC-class | Influence curve of contamination type
ContNeighborhood | Generating function for ContNeighborhood-class
ContNeighborhood-class | Contamination Neighborhood
Curve | Influence curve
Curve-method | Influence curve

## -- D --

distribution | Family of probability measures
distribution-method | Family of probability measures
distrSymm | Family of probability measures
distrSymm-method | Family of probability measures
Domain-method | Influence curve

## -- E --

E | Gumbel distribution
E-method | Gumbel distribution
E-method | L2 differentiable parametric family
E-methods | Gumbel distribution
EULERMASCHERONICONSTANT | Built-in Constants in package ROptEstOld
evalIC | Generic function for evaluating ICs
evalIC-method | Influence curve
EvenSymmetric | Generating function for EvenSymmetric-class
EvenSymmetric-class | Class for Even Functions
ExpScaleFamily | Generating function for exponential scale families

## -- F --

fiBias | Generating function for fiBias-class
fiBias-class | Finite-sample Bias
fiCov | Generating function for fiCov-class
fiCov-class | Finite-sample covariance
fiHampel | Generating function for fiHampel-class
fiHampel-class | Finite-sample Hampel risk
fiMSE | Generating function for fiMSE-class
fiMSE-class | Finite-sample mean square error
fiRisk-class | Finite-sample risk
FisherInfo | L2 differentiable parametric family
FisherInfo-method | L2 differentiable parametric family
fiUnOvShoot | Generating function for fiUnOvShoot-class
fiUnOvShoot-class | Finite-sample under-/overshoot probability
FixRobModel | Generating function for FixRobModel-class
FixRobModel-class | Robust model with fixed (unconditional) neighborhood
FunctionSymmetry-class | Class of Symmetries for Functions
FunSymmList | Generating function for FunSymmList-class
FunSymmList-class | List of Symmetries for a List of Functions

## -- G --

GammaFamily | Generating function for Gamma families
generateIC | Generic function for the generation of influence curves
generateIC-method | Influence curve of contamination type
generateIC-method | Influence curve of total variation type
getAsRisk | Generic Function for Computation of Asymptotic Risks
getAsRisk-method | Generic Function for Computation of Asymptotic Risks
getAsRisk-methods | Generic Function for Computation of Asymptotic Risks
getFiRisk | Generic Function for Computation of Finite-Sample Risks
getFiRisk-method | Generic Function for Computation of Finite-Sample Risks
getFiRisk-methods | Generic Function for Computation of Finite-Sample Risks
getFixClip | Generic Function for the Computation of the Optimal Clipping Bound
getFixClip-method | Generic Function for the Computation of the Optimal Clipping Bound
getFixClip-methods | Generic Function for the Computation of the Optimal Clipping Bound
getFixRobIC | Generic Function for the Computation of Optimally Robust ICs
getFixRobIC-method | Generic Function for the Computation of Optimally Robust ICs
getFixRobIC-methods | Generic Function for the Computation of Optimally Robust ICs
getIneffDiff | Generic Function for the Computation of Inefficiency Differences
getIneffDiff-method | Generic Function for the Computation of Inefficiency Differences
getIneffDiff-methods | Generic Function for the Computation of Inefficiency Differences
getInfCent | Generic Function for the Computation of the Optimal Centering Constant/Lower Clipping Bound
getInfCent-method | Generic Function for the Computation of the Optimal Centering Constant/Lower Clipping Bound
getInfCent-methods | Generic Function for the Computation of the Optimal Centering Constant/Lower Clipping Bound
getInfClip | Generic Function for the Computation of the Optimal Clipping Bound
getInfClip-method | Generic Function for the Computation of the Optimal Clipping Bound
getInfClip-methods | Generic Function for the Computation of the Optimal Clipping Bound
getInfGamma | Generic Function for the Computation of the Optimal Clipping Bound
getInfGamma-method | Generic Function for the Computation of the Optimal Clipping Bound
getInfGamma-methods | Generic Function for the Computation of the Optimal Clipping Bound
getInfRobIC | Generic Function for the Computation of Optimally Robust ICs
getInfRobIC-method | Generic Function for the Computation of Optimally Robust ICs
getInfRobIC-methods | Generic Function for the Computation of Optimally Robust ICs
getInfStand | Generic Function for the Computation of the Standardizing Matrix
getInfStand-method | Generic Function for the Computation of the Standardizing Matrix
getInfStand-methods | Generic Function for the Computation of the Standardizing Matrix
getRiskIC | Generic function for the computation of a risk for an IC
getRiskIC-method | Generic function for the computation of a risk for an IC
getRiskIC-methods | Generic function for the computation of a risk for an IC
Gumbel | Generating function for Gumbel-class
Gumbel-class | Gumbel distribution
GumbelLocationFamily | Generating function for Gumbel location families
GumbelParameter-class | Paramter of Gumbel distributions

## -- I --

IC | Generating function for IC-class
IC-class | Influence curve
InfluenceCurve | Generating function for InfluenceCurve-class
InfluenceCurve-class | Influence curve
infoPlot | Plot absolute and relative information
infoPlot-method | Influence curve
Infos | Influence curve
Infos-method | Influence curve
Infos<- | Influence curve
Infos<--method | Influence curve
InfRobModel | Generating function for InfRobModel-class
InfRobModel-class | Robust model with infinitesimal (unconditional) neighborhood
initialize-method | Gumbel distribution

## -- K --

ksEstimator | Generic Function for the Computation of the Kolmogorov Minimum Distance Estimator
ksEstimator-method | Generic Function for the Computation of the Kolmogorov Minimum Distance Estimator
ksEstimator-methods | Generic Function for the Computation of the Kolmogorov Minimum Distance Estimator
kurtosis | Gumbel distribution
kurtosis-method | Gumbel distribution
kurtosis-methods | Gumbel distribution

## -- L --

L2deriv | L2 differentiable parametric family
L2deriv-method | L2 differentiable parametric family
L2derivDistr | L2 differentiable parametric family
L2derivDistr-method | L2 differentiable parametric family
L2derivDistrSymm | L2 differentiable parametric family
L2derivDistrSymm-method | L2 differentiable parametric family
L2derivSymm | L2 differentiable parametric family
L2derivSymm-method | L2 differentiable parametric family
L2ParamFamily | Generating function for L2ParamFamily-class
L2ParamFamily-class | L2 differentiable parametric family
leastFavorableRadius | Generic Function for the Computation of Least Favorable Radii
leastFavorableRadius-method | Generic Function for the Computation of Least Favorable Radii
leastFavorableRadius-methods | Generic Function for the Computation of Least Favorable Radii
length-method | Parameter of a parametric family of probability measures
LnormScaleFamily | Generating function for lognormal scale families
loc | Paramter of Gumbel distributions
loc-method | Gumbel distribution
loc-method | Paramter of Gumbel distributions
loc<- | Paramter of Gumbel distributions
loc<--method | Gumbel distribution
loc<--method | Paramter of Gumbel distributions
locMEstimator | Generic function for the computation of location M estimators
locMEstimator-method | Generic function for the computation of location M estimators
locMEstimator-methods | Generic function for the computation of location M estimators
lowerCase | Influence curve of contamination type
lowerCase-method | Influence curve of contamination type
lowerCase-method | Influence curve of total variation type
lowerCase<- | Influence curve of contamination type
lowerCase<--method | Influence curve of contamination type
lowerCase<--method | Influence curve of total variation type
lowerCaseRadius | Computation of the lower case radius
lowerCaseRadius-method | Computation of the lower case radius
lowerCaseRadius-methods | Computation of the lower case radius

## -- M --

main | Parameter of a parametric family of probability measures
main-method | Parameter of a parametric family of probability measures
main-method | Parametric family of probability measures.
main<- | Parameter of a parametric family of probability measures
main<--method | Parameter of a parametric family of probability measures
Map-method | Influence curve

## -- N --

name-method | Influence curve
name-method | Family of probability measures
name-method | Robust model
name<--method | Influence curve
name<--method | Family of probability measures
neighbor | Robust model
neighbor-method | Robust model
neighbor<- | Robust model
neighbor<--method | Robust model with fixed (unconditional) neighborhood
neighbor<--method | Robust model with infinitesimal (unconditional) neighborhood
neighbor<--method | Robust model
Neighborhood-class | Neighborhood
neighborRadius | Influence curve of contamination type
neighborRadius-method | Influence curve of contamination type
neighborRadius-method | Influence curve of total variation type
neighborRadius<- | Influence curve of contamination type
neighborRadius<--method | Influence curve of contamination type
neighborRadius<--method | Influence curve of total variation type
NonSymmetric | Generating function for NonSymmetric-class
NonSymmetric-class | Class for Non-symmetric Functions
NormLocationFamily | Generating function for normal location families
NormLocationScaleFamily | Generating function for normal location and scale families
NormScaleFamily | Generating function for normal scale families
nuisance | Parameter of a parametric family of probability measures
nuisance-method | Parameter of a parametric family of probability measures
nuisance-method | Parametric family of probability measures.
nuisance<- | Parameter of a parametric family of probability measures
nuisance<--method | Parameter of a parametric family of probability measures

## -- O --

OddSymmetric | Generating function for OddSymmetric-class
OddSymmetric-class | Class for Odd Functions
oneStepEstimator | Generic function for the computation of one-step estimators
oneStepEstimator-method | Generic function for the computation of one-step estimators
oneStepEstimator-methods | Generic function for the computation of one-step estimators
optIC | Generic function for the computation of optimally robust ICs
optIC-method | Generic function for the computation of optimally robust ICs
optIC-methods | Generic function for the computation of optimally robust ICs
optRisk | Generic function for the computation of the minimal risk
optRisk-method | Generic function for the computation of the minimal risk
optRisk-methods | Generic function for the computation of the minimal risk

## -- P --

param-method | Parametric family of probability measures.
ParamFamily | Generating function for ParamFamily-class
ParamFamily-class | Parametric family of probability measures.
ParamFamParameter | Generating function for ParamFamParameter-class
ParamFamParameter-class | Parameter of a parametric family of probability measures
plot-method | Influence curve
plot-method | L2 differentiable parametric family
plot-method | Parametric family of probability measures.
PoisFamily | Generating function for Poisson families
ProbFamily-class | Family of probability measures
props | Family of probability measures
props-method | Family of probability measures
props<- | Family of probability measures
props<--method | Family of probability measures

## -- R --

radius | Neighborhood
radius-method | Neighborhood
radiusMinimaxIC | Generic function for the computation of the radius minimax IC
radiusMinimaxIC-method | Generic function for the computation of the radius minimax IC
radiusMinimaxIC-methods | Generic function for the computation of the radius minimax IC
Range-method | Influence curve
Risks | Influence curve
Risks-method | Influence curve
Risks<- | Influence curve
Risks<--method | Influence curve
RiskType-class | Risk
RobModel-class | Robust model

## -- S --

scale-method | Gumbel distribution
scale-method | Paramter of Gumbel distributions
scale<--method | Gumbel distribution
scale<--method | Paramter of Gumbel distributions
show-method | Influence curve of contamination type
show-method | Robust model with fixed (unconditional) neighborhood
show-method | Influence curve
show-method | Robust model with infinitesimal (unconditional) neighborhood
show-method | Influence curve
show-method | Neighborhood
show-method | Parameter of a parametric family of probability measures
show-method | Parametric family of probability measures.
show-method | Risk
show-method | Influence curve of total variation type
show-method | Asymptotic Hampel risk
show-method | Asymptotic under-/overshoot probability
show-method | Finite-sample Hampel risk
show-method | Finite-sample under-/overshoot probability
skewness | Gumbel distribution
skewness-method | Gumbel distribution
skewness-methods | Gumbel distribution
stand | Influence curve of contamination type
stand-method | Influence curve of contamination type
stand-method | Influence curve of total variation type
stand<- | Influence curve of contamination type
stand<--method | Influence curve of contamination type
stand<--method | Influence curve of total variation type

## -- T --

TotalVarIC | Generating function for TotalVarIC-class
TotalVarIC-class | Influence curve of total variation type
TotalVarNeighborhood | Generating function for TotalVarNeighborhood-class
TotalVarNeighborhood-class | Total variation neighborhood
trafo | Parameter of a parametric family of probability measures
trafo-method | Parameter of a parametric family of probability measures
trafo-method | Parametric family of probability measures.
trafo<- | Parameter of a parametric family of probability measures
trafo<--method | Parameter of a parametric family of probability measures
trAsCov | Generating function for trAsCov-class
trAsCov-class | Trace of asymptotic covariance
trFiCov | Generating function for trFiCov-class
trFiCov-class | Trace of finite-sample covariance
type-method | Neighborhood
type-method | Risk

## -- U --

UncondNeighborhood-class | Unconditional neighborhood

## -- V --

var | Gumbel distribution
var-method | Gumbel distribution
var-methods | Gumbel distribution

## -- W --

width | Asymptotic under-/overshoot probability
width-method | Asymptotic under-/overshoot probability
width-method | Finite-sample under-/overshoot probability

## -- misc --

*-method | Gumbel distribution
+-method | Gumbel distribution