On the stability of bootstrap estimators
classification
🧮 math.ST
stat.MLstat.TH
keywords
bootstrapmetricspaceapproximationsborelcasescompactcomplete
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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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