Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Maximal Large Deviation Inequality for Sub-Gaussian Variables   In this short note we prove a maximal concentration lemma for sub-Gaussian
random variables stating that for independent sub-Gaussian random variables we
have \[P<(\max_{1\le i\le N}S_{i}>\epsilon>)
\le\exp<(-\frac{1}{N^2}\sum_{i=1}^{N}\frac{\epsilon^{2}}{2\sigma_{i}^{2}}>), \]
where $S_i$ is the sum of $i$ zero mean independent sub-Gaussian random
variables and $\sigma_i$ is the variance of the $i$th random variable.

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The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys