On the stability of bootstrap estimators

Details On the stability of bootstrap estimators On the stability of bootstrap estimators

2011-11-08

arxiv.org/abs/1111.1876v1

Mathematics

Statistics Theory

Scientific paper

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.

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