Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coverage-adjusted confidence intervals for a binomial proportion   We consider the classic problem of interval estimation of a proportion $p$
based on binomial sampling. The "exact" Clopper-Pearson confidence interval for
$p$ is known to be unnecessarily conservative. We propose coverage-adjustments
of the Clopper-Pearson interval using prior and posterior distributions of $p$.
The adjusted intervals have improved coverage and are often shorter than
competing intervals found in the literature. Using new heatmap-type plots for
comparing confidence intervals, we find that the coverage-adjusted intervals
are particularly suitable for $p$ close to 0 or 1.

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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga