Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting And Confusion: Bayesian Rate Estimation With Multiple
  Populations   We show how to obtain a Bayesian estimate of the rates or numbers of signal
and background events from a set of events when the shapes of the signal and
background distributions are known, can be estimated, or approximated; our
method works well even if the foreground and background event distributions
overlap significantly and the nature of any individual event cannot be
determined with any certainty. We give examples of determining the rates of
gravitational-wave events in the presence of background triggers from a
template bank when noise parameters are known and/or can be fit from the
trigger data. We also give an example of determining globular-cluster shape,
location, and density from an observation of a stellar field that contains a
non-uniform background density of stars superimposed on the cluster stars.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: math
17
The categories of this paper are: q-fin
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The categories of this paper are: cs