Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Safe Testing   We develop the theory of hypothesis testing based on the E-value, a notion of
evidence that, unlike the p-value, allows for effortlessly combining results
from several studies in the common scenario where the decision to perform a new
study may depend on previous outcomes. Tests based on E-values are safe, i.e.
they preserve Type-I error guarantees, under such optional continuation. We
define growth-rate optimality (GRO) as an analogue of power in an optional
continuation context, and we show how to construct GRO E-variables for general
testing problems with composite null and alternative, emphasizing models with
nuisance parameters. GRO E-values take the form of Bayes factors with special
priors. We illustrate the theory using several classic examples including a
one-sample safe t-test (in which the right Haar prior turns out to be GRO) and
the 2x2 contingency table (in which the GRO prior is different from standard
priors). Sharing Fisherian, Neymanian and Jeffreys-Bayesian interpretations,
E-values and the corresponding tests may provide a methodology acceptable to
adherents of all three schools.

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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: chem-ph