Learn R Programming

ROptEst (version 1.3.4)

getFixRobIC: Generic Function for the Computation of Optimally Robust ICs

Description

Generic function for the computation of optimally robust ICs in case of robust models with fixed neighborhoods. This function is rarely called directly.

Usage

getFixRobIC(Distr, risk, neighbor, ...)

# S4 method for Norm,fiUnOvShoot,UncondNeighborhood getFixRobIC(Distr, risk, neighbor, sampleSize, upper, lower, maxiter, tol, warn, Algo, cont)

Value

The optimally robust IC is computed.

Arguments

Distr

object of class "Distribution".

risk

object of class "RiskType".

neighbor

object of class "Neighborhood".

...

additional parameters.

sampleSize

integer: sample size.

upper

upper bound for the optimal clipping bound.

lower

lower bound for the optimal clipping bound.

maxiter

the maximum number of iterations.

tol

the desired accuracy (convergence tolerance).

warn

logical: print warnings.

Algo

"A" or "B".

cont

"left" or "right".

Methods

Distr = "Norm", risk = "fiUnOvShoot", neighbor = "UncondNeighborhood"

computes the optimally robust influence curve for one-dimensional normal location and finite-sample under-/overshoot risk.

Author

Matthias Kohl Matthias.Kohl@stamats.de

Details

Computation of the optimally robust IC in sense of Huber (1968) which is also treated in Kohl (2005). The Algorithm used to compute the exact finite sample risk is introduced and explained in Kohl (2005). It is based on FFT.

References

Huber, P.J. (1968) Robust Confidence Limits. Z. Wahrscheinlichkeitstheor. Verw. Geb. 10:269--278.

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

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

See Also

FixRobModel-class