On the stability of bootstrap estimators
  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. 
Andreas Christmann, Matias Salibian-Barrera, and Stefan Van Aelst
math.ST stat.ML stat.TH