Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dependent multiplier bootstraps for non-degenerate $U$-statistics under
  mixing conditions with applications   The asymptotic validity of a resampling method for two sequential processes
constructed from non-degenerate $U$-statistics is established under mixing
conditions. The resampling schemes, referred to as {\em dependent multiplier
bootstraps}, result from an adaptation of the seminal approach of
\cite{GomHor02} to mixing sequences. The proofs exploit recent results of
\cite{DehWen10b} on degenerate $U$-statistics. A data-driven procedure for
estimating a key bandwidth parameter involved in the resampling schemes is also
suggested, making the use of the studied dependent multiplier bootstraps fully
automatic. The derived results are applied to the construction of confidence
intervals and to test for change-point detection. For such applications, Monte
Carlo experiments suggest that the use of the proposed resampling approaches
can have advantages over that of estimated asymptotic distributions.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin