Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the consistency of the spacings test for multivariate uniformity   We give a simple conceptual proof of the consistency of a test for
multivariate uniformity in a bounded set $K \subset \mathbb{R}^d$ that is based
on the maximal spacing generated by i.i.d. points $X_1, \ldots,X_n$ in $K$,
i.e., the volume of the largest convex set of a given shape that is contained
in $K$ and avoids each of these points. Since asymptotic results for the case
$d > 1$ are only availabe under uniformity, a key element of the proof is a
suitable coupling.

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The categories of this paper are: dg-ga
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex