Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A local maximal inequality under uniform entropy   We derive an upper bound for the mean of the supremum of the empirical
process indexed by a class of functions that are known to have variance bounded
by a small constant $\delta$. The bound is expressed in the uniform entropy
integral of the class at $\delta$. The bound yields a rate of convergence of
minimum contrast estimators when applied to the modulus of continuity of the
contrast functions.

33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
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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: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci