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On the stability of bootstrap estimators

Published 8 Nov 2011 in math.ST, stat.ML, and stat.TH | (1111.1876v1)

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.

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