Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional delta-method for the bootstrap of quasi-Hadamard
  differentiable functionals   The functional delta-method provides a convenient tool for deriving the
asymptotic distribution of a plug-in estimator of a statistical functional from
the asymptotic distribution of the respective empirical process. Moreover, it
provides a tool to derive bootstrap consistency for plug-in estimators from
bootstrap consistency of empirical processes. It has recently been shown that
the range of applications of the functional delta-method for the asymptotic
distribution can be considerably enlarged by employing the notion of
quasi-Hadamard differentiability. Here we show in a general setting that this
enlargement carries over to the bootstrap. That is, for quasi-Hadamard
differentiable functionals bootstrap consistency of the plug-in estimator
follows from bootstrap consistency of the respective empirical process. This
enlargement often requires convergence in distribution of the bootstrapped
empirical process w.r.t.\ a nonuniform sup-norm. The latter is not problematic
as will be illustrated by means of examples.

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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc