distrMod: existsPIC – R documentation

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existsPIC

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 `.Machine$double.eps^.5`.

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 ker I = ker J for J= E (Lambda',1)' (Lambda',1) w and w=min(1, b/|(Lambda',1)|)], it suffices to check that ker I is a subset of 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.