existsPIC: Methods for Function existsPIC in Package 'distrMod'

In distrMod: Object Oriented Implementation of Probability Models

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 {\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 [e-mail]

References

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

See Also

isKerAinKerB

distrMod documentation built on Jan. 31, 2024, 3:06 a.m.