Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ROC and the bounds on tail probabilities via theorems of Dubins and F.
  Riesz   For independent $X$ and $Y$ in the inequality $P(X\leq Y+\mu)$, we give sharp
lower bounds for unimodal distributions having finite variance, and sharp upper
bounds assuming symmetric densities bounded by a finite constant. The lower
bounds depend on a result of Dubins about extreme points and the upper bounds
depend on a symmetric rearrangement theorem of F. Riesz. The inequality was
motivated by medical imaging: find bounds on the area under the Receiver
Operating Characteristic curve (ROC).

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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: stat