Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Empirical Quantile CLTs for Time Dependent Data   We establish empirical quantile process CLTs based on $n$ independent copies
of a stochastic process $\{X_t: t \in E\}$ that are uniform in $t \in E$ and
quantile levels $\alpha \in I$, where $I$ is a closed sub-interval of $(0,1)$.
Typically $E=[0,T]$, or a finite product of such intervals. Also included are
CLT's for the empirical process based on $\{I_{X_t \le y} - \rm {Pr}(X_t \le
y): t \in E, y \in R \}$ that are uniform in $t \in E, y \in R$. The process
$\{X_t: t \in E\}$ may be chosen from a broad collection of Gaussian processes,
compound Poisson processes, stationary independent increment stable processes,
and martingales.

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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th