On the stability of Bootstrap estimators

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Christmann, Andreas ; Salibián-Barrera, Matías ; van Aelst, Stefan:
On the stability of Bootstrap estimators.
Cornell University Library, arXiv : Cornell University Library , 2011 . - 12 S.

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Abstract

It is shown that bootstrap approximations of an estimator
which is based on a continuous operator from the set of Borel probability measures defined on a compact metric space into a complete separable metric space is stable in the sense of qualitative robustness. Support vector machines based on shifted loss functions are treated as
special cases.