Computation of the optimally robust IC for An1 estimators
The function rlsOptIC.An1
computes the optimally robust IC for
An1 estimators in case of normal location with unknown scale and
(convex) contamination neighborhoods. The definition of
these estimators can be found in Subsection 8.5.3 of Kohl (2005).
rlsOptIC.An1(r, aUp = 2.5, delta = 1e-06)
r |
non-negative real: neighborhood radius. |
aUp |
positive real: the upper end point of the interval to be searched for a. |
delta |
the desired accuracy (convergence tolerance). |
The optimal value of the tuning constant a can be read off
from the slot Infos
of the resulting IC.
Object of class "IC"
Matthias Kohl Matthias.Kohl@stamats.de
Andrews, D.F., Bickel, P.J., Hampel, F.R., Huber, P.J., Rogers, W.H. and Tukey, J.W. (1972) Robust estimates of location. Princeton University Press.
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.
IC1 <- rlsOptIC.An1(r = 0.1) checkIC(IC1) Risks(IC1) Infos(IC1) ## don't run to reduce check time on CRAN ## Not run: plot(IC1) infoPlot(IC1) ## End(Not run)
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