Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional limit laws for the increments of the quantile process; with
  applications   We establish a functional limit law of the logarithm for the increments of
the normed quantile process based upon a random sample of size $n\to\infty$. We
extend a limit law obtained by Deheuvels and Mason (12), showing that their
results hold uniformly over the bandwidth $h$, restricted to vary in
$[h'_n,h''_n]$, where $\{h'_n\}_{n\geq1}$ and $\{h''_n\}_{n\geq 1}$ are
appropriate non-random sequences. We treat the case where the sample
observations follow possibly non-uniform distributions. As a consequence of our
theorems, we provide uniform limit laws for nearest-neighbor density
estimators, in the spirit of those given by Deheuvels and Mason (13) for
kernel-type estimators.

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The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: physics
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin