Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant $P$-values for model checking   $P$-values have been the focus of considerable criticism based on various
considerations. Still, the $P$-value represents one of the most commonly used
statistical tools. When assessing the suitability of a single hypothesized
distribution, it is not clear that there is a better choice for a measure of
surprise. This paper is concerned with the definition of appropriate
model-based $P$-values for model checking.

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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph