Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards Practical Mean Bounds for Small Samples   Historically, to bound the mean for small sample sizes, practitioners have
had to choose between using methods with unrealistic assumptions about the
unknown distribution (e.g., Gaussianity) and methods like Hoeffding's
inequality that use weaker assumptions but produce much looser (wider)
intervals. In 1969, Anderson (1969) proposed a mean confidence interval
strictly better than or equal to Hoeffding's whose only assumption is that the
distribution's support is contained in an interval $[a,b]$. For the first time
since then, we present a new family of bounds that compares favorably to
Anderson's. We prove that each bound in the family has {\em guaranteed
coverage}, i.e., it holds with probability at least $1-\alpha$ for all
distributions on an interval $[a,b]$. Furthermore, one of the bounds is tighter
than or equal to Anderson's for all samples. In simulations, we show that for
many distributions, the gain over Anderson's bound is substantial.

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The categories of this paper are: cs
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The categories of this paper are: eess
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
23
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-bio
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The categories of this paper are: nlin
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn