Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayes' Theorem under Conditional Independence   In this article we provide a substantial discussion on the statistical
concept of conditional independence, which is not routinely mentioned in most
elementary statistics and mathematical statistics textbooks. Under the
assumption of conditional independence, an extended version of Bayes' Theorem
is then proposed with illustrations from both hypothetical and real-world
examples of disease diagnosis.

11
The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th