| existsPIC-methods {distrMod} | R Documentation |
Methods for Function existsPIC in Package ‘distrMod’
Description
existsPIC-methods to check whether in a given L2 differentiable model at parameter value theta there exist
(partial) influence curves to Trafo D_\theta.
Usage
existsPIC(object, ...)
## S4 method for signature 'L2ParamFamily'
existsPIC(object, warning = TRUE, tol = .Machine$double.eps^.5)
Arguments
object |
L2ParamFamily |
... |
further arguments used by specific methods. |
warning |
logical: should a warning be issued if there exist no (partial) influence curves? |
tol |
the tolerance the linear algebraic operations. Default is |
Details
To check the existence of (partial) influence curves and, simultaneously, for bounded
(partial) influence curves, by Lemma 1.1.3 in Kohl(2005) [resp. the fact that {\rm ker} I={\rm ker} J
for J= {\rm E} (\Lambda',1)' (\Lambda',1) w and
w={\rm min}(1, b/|(\Lambda',1)|], it suffices to check that
{\rm ker }I is a subset of {\rm ker }D_\theta. This is done by
a call to isKerAinKerB.
Author(s)
Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de
References
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.