getInfRobIC {ROptEst} | R Documentation |
Generic function for the computation of optimally robust ICs in case of infinitesimal robust models. This function is rarely called directly.
getInfRobIC(L2deriv, risk, neighbor, ...) ## S4 method for signature 'UnivariateDistribution, asCov, ## ContNeighborhood': getInfRobIC(L2deriv, risk, neighbor, Finfo, trafo, verbose = FALSE) ## S4 method for signature 'UnivariateDistribution, asCov, ## TotalVarNeighborhood': getInfRobIC(L2deriv, risk, neighbor, Finfo, trafo, verbose = FALSE) ## S4 method for signature 'RealRandVariable, asCov, ## ContNeighborhood': getInfRobIC(L2deriv, risk, neighbor, Distr, Finfo, trafo, QuadForm = diag(nrow(trafo)), verbose = FALSE) ## S4 method for signature 'UnivariateDistribution, asBias, ## UncondNeighborhood': getInfRobIC(L2deriv, risk, neighbor, symm, trafo, maxiter, tol, warn, Finfo, verbose = FALSE, ...) ## S4 method for signature 'RealRandVariable, asBias, ## ContNeighborhood': getInfRobIC(L2deriv, risk, neighbor, Distr, DistrSymm, L2derivSymm, L2derivDistrSymm, z.start, A.start, Finfo, trafo, maxiter, tol, warn, verbose = FALSE, ...) ## S4 method for signature 'UnivariateDistribution, ## asHampel, UncondNeighborhood': getInfRobIC(L2deriv, risk, neighbor, symm, Finfo, trafo, upper, maxiter, tol, warn, noLow = FALSE, verbose = FALSE) ## S4 method for signature 'RealRandVariable, asHampel, ## ContNeighborhood': getInfRobIC(L2deriv, risk, neighbor, Distr, DistrSymm, L2derivSymm, L2derivDistrSymm, Finfo, trafo, onesetLM = FALSE, z.start, A.start, upper, maxiter, tol, warn, verbose = FALSE) ## S4 method for signature 'UnivariateDistribution, ## asGRisk, UncondNeighborhood': getInfRobIC(L2deriv, risk, neighbor, symm, Finfo, trafo, upper, maxiter, tol, warn, noLow = FALSE, verbose = FALSE) ## S4 method for signature 'RealRandVariable, asGRisk, ## ContNeighborhood': getInfRobIC(L2deriv, risk, neighbor, Distr, DistrSymm, L2derivSymm, L2derivDistrSymm, Finfo, trafo, onesetLM = FALSE, z.start, A.start, upper, maxiter, tol, warn, verbose = FALSE) ## S4 method for signature 'UnivariateDistribution, ## asUnOvShoot, UncondNeighborhood': getInfRobIC(L2deriv, risk, neighbor, symm, Finfo, trafo, upper, maxiter, tol, warn)
L2deriv |
L2-derivative of some L2-differentiable family of probability measures. |
risk |
object of class "RiskType" . |
neighbor |
object of class "Neighborhood" . |
... |
additional parameters. |
Distr |
object of class "Distribution" . |
symm |
logical: indicating symmetry of L2deriv . |
DistrSymm |
object of class "DistributionSymmetry" . |
L2derivSymm |
object of class "FunSymmList" . |
L2derivDistrSymm |
object of class "DistrSymmList" . |
Finfo |
Fisher information matrix. |
z.start |
initial value for the centering constant. |
A.start |
initial value for the standardizing matrix. |
trafo |
matrix: transformation of the parameter. |
upper |
upper bound for the optimal clipping bound. |
maxiter |
the maximum number of iterations. |
tol |
the desired accuracy (convergence tolerance). |
warn |
logical: print warnings. |
noLow |
logical: is lower case to be computed? |
onesetLM |
logical: use one set of Lagrange multipliers? |
QuadForm |
matrix of (or which may coerced to) class
PosSemDefSymmMatrix for use of different
(standardizing) norm |
verbose |
logical: if TRUE , some messages are printed |
The optimally robust IC is computed.
Matthias Kohl Matthias.Kohl@stamats.de
Rieder, H. (1980) Estimates derived from robust tests. Ann. Stats. 8: 106-115.
Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer.
Ruckdeschel, P. and Rieder, H. (2004) Optimal Influence Curves for General Loss Functions. Statistics & Decisions 22: 201-223.
Ruckdeschel, P. (2005) Optimally One-Sided Bounded Influence Curves. Mathematical Methods in Statistics 14(1), 105-131.
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.