getAsRisk: Generic Function for Computation of Asymptotic Risks

Description Usage Arguments Value Methods Author(s) References See Also

Description

Generic function for the computation of asymptotic risks. This function is rarely called directly. It is used by other functions.

Usage

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getAsRisk(risk, L2deriv, neighbor, ...)

## S4 method for signature 'asMSE,UnivariateDistribution,Neighborhood'
getAsRisk(risk, L2deriv, neighbor, clip, cent, stand, trafo)

## S4 method for signature 'asMSE,EuclRandVariable,Neighborhood'
getAsRisk(risk, L2deriv, neighbor, clip, cent, stand, trafo)

## S4 method for signature 'asBias,UnivariateDistribution,ContNeighborhood'
getAsRisk(risk, L2deriv, neighbor, trafo)

## S4 method for signature 'asBias,UnivariateDistribution,TotalVarNeighborhood'
getAsRisk(risk, L2deriv, neighbor, trafo)

## S4 method for signature 'asBias,RealRandVariable,ContNeighborhood'
getAsRisk(risk, L2deriv, neighbor, Distr, L2derivDistrSymm, trafo, 
             z.start, A.start, maxiter, tol)

## S4 method for signature 'asCov,UnivariateDistribution,ContNeighborhood'
getAsRisk(risk, L2deriv, neighbor, clip, cent, stand)

## S4 method for signature 'asCov,UnivariateDistribution,TotalVarNeighborhood'
getAsRisk(risk, L2deriv, neighbor, clip, cent, stand)

## S4 method for signature 'asCov,RealRandVariable,ContNeighborhood'
getAsRisk(risk, L2deriv, neighbor, Distr, clip, cent, stand)

## S4 method for signature 'trAsCov,UnivariateDistribution,UncondNeighborhood'
getAsRisk(risk, L2deriv, neighbor, clip, cent, stand)

## S4 method for signature 'trAsCov,RealRandVariable,ContNeighborhood'
getAsRisk(risk, L2deriv, neighbor, Distr, clip, cent, stand)

## S4 method for signature 
## 'asUnOvShoot,UnivariateDistribution,UncondNeighborhood'
getAsRisk(risk, L2deriv, neighbor, clip, cent, stand, trafo)

Arguments

risk

object of class "asRisk".

L2deriv

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

neighbor

object of class "Neighborhood".

...

additional parameters.

clip

optimal clipping bound.

cent

optimal centering constant.

stand

standardizing matrix.

trafo

matrix: transformation of the parameter.

Distr

object of class "Distribution".

L2derivDistrSymm

object of class "DistrSymmList".

z.start

initial value for the centering constant.

A.start

initial value for the standardizing matrix.

maxiter

the maximum number of iterations

tol

the desired accuracy (convergence tolerance).

Value

The asymptotic risk is computed.

Methods

risk = "asMSE", L2deriv = "UnivariateDistribution", neighbor = "Neighborhood":

computes asymptotic mean square error in methods for function getInfRobIC.

risk = "asMSE", L2deriv = "EuclRandVariable", neighbor = "Neighborhood":

computes asymptotic mean square error in methods for function getInfRobIC.

risk = "asBias", L2deriv = "UnivariateDistribution", neighbor = "ContNeighborhood":

computes standardized asymptotic bias in methods for function getInfRobIC.

risk = "asBias", L2deriv = "UnivariateDistribution", neighbor = "TotalVarNeighborhood":

computes standardized asymptotic bias in methods for function getInfRobIC.

risk = "asBias", L2deriv = "RealRandVariable", neighbor = "ContNeighborhood":

computes standardized asymptotic bias in methods for function getInfRobIC.

risk = "asCov", L2deriv = "UnivariateDistribution", neighbor = "ContNeighborhood":

computes asymptotic covariance in methods for function getInfRobIC.

risk = "asCov", L2deriv = "UnivariateDistribution", neighbor = "TotalVarNeighborhood":

computes asymptotic covariance in methods for function getInfRobIC.

risk = "asCov", L2deriv = "RealRandVariable", neighbor = "ContNeighborhood":

computes asymptotic covariance in methods for function getInfRobIC.

risk = "trAsCov", L2deriv = "UnivariateDistribution", neighbor = "UncondNeighborhood":

computes trace of asymptotic covariance in methods for function getInfRobIC.

risk = "trAsCov", L2deriv = "RealRandVariable", neighbor = "ContNeighborhood":

computes trace of asymptotic covariance in methods for function getInfRobIC.

risk = "asUnOvShoot", L2deriv = "UnivariateDistribution", neighbor = "UncondNeighborhood":

computes asymptotic under-/overshoot risk in methods for function getInfRobIC.

Author(s)

Matthias Kohl Matthias.Kohl@stamats.de

References

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

Ruckdeschel, P. and Rieder, H. (2004) Optimal Influence Curves for General Loss Functions. Statistics & Decisions (submitted).

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

See Also

asRisk-class


ROptEstOld documentation built on May 2, 2019, 12:51 p.m.