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ROptEst (version 0.5.0)

getFiRisk: Generic Function for Computation of Finite-Sample Risks

Description

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

Usage

getFiRisk(risk, Distr, neighbor, ...)

## S3 method for class 'fiUnOvShoot,Norm,ContNeighborhood':
getFiRisk(risk, Distr, neighbor, 
            clip, stand, sampleSize, Algo, cont)

## S3 method for class 'fiUnOvShoot,Norm,TotalVarNeighborhood':
getFiRisk(risk, Distr, neighbor, 
            clip, stand, sampleSize, Algo, cont)

Arguments

risk
object of class "RiskType".
Distr
object of class "Distribution".
neighbor
object of class "Neighborhood".
...
additional parameters.
clip
positive real: clipping bound
stand
standardizing constant/matrix.
sampleSize
integer: sample size.
Algo
"A" or "B".
cont
"left" or "right".

Value

  • The finite-sample risk is computed.

concept

  • finite-sample risk
  • risk

Details

The computation of the finite-sample under-/overshoot risk is based on FFT. For more details we refer to Section 11.3 of Kohl (2005).

References

Huber, P.J. (1968) Robust Confidence Limits. Z. Wahrscheinlichkeitstheor. Verw. Geb. 10:269--278. Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation. Ruckdeschel, P. and Kohl, M. (2005) Computation of the Finite Sample Risk of M-estimators on Neighborhoods.

See Also

fiRisk-class