Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coverage Of Confidence Intervals For Poisson Statistics In Presence Of
  Systematic Uncertainties   In this note we consider coverage of confidence intervals calculated with and
without systematic uncertainties. These calculations follow the prescription
originally proposed by Cousins & Highland but here extended to account for
different shapes, size and types of systematic uncertainties. Also two
different ordering schemes are considered: the Feldman & Cousins ordering and
its variant where conditioning on the background expectation is applied as
proposed by Roe & Woodroofe. Without uncertainties Feldman & Cousins method
over-covers as expected because of the discreteness of the Poisson
distribution. For Roe & Woodroofe's method we find under-coverage for low
signal expectations. When including uncertainties it becomes important to
define the ensemble for which the coverage is determined. We consider two
different ensembles, where in ensemble A all nuisance parameters are fixed and
in ensemble B the nuisance parameters are varied according to their
uncertainties. We also discuss the subtleties of the realization of the
ensemble with varying systematic uncertainties.

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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an