Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical unfolding of elementary particle spectra: Empirical Bayes
  estimation and bias-corrected uncertainty quantification   We consider the high energy physics unfolding problem where the goal is to
estimate the spectrum of elementary particles given observations distorted by
the limited resolution of a particle detector. This important statistical
inverse problem arising in data analysis at the Large Hadron Collider at CERN
consists in estimating the intensity function of an indirectly observed Poisson
point process. Unfolding typically proceeds in two steps: one first produces a
regularized point estimate of the unknown intensity and then uses the
variability of this estimator to form frequentist confidence intervals that
quantify the uncertainty of the solution. In this paper, we propose forming the
point estimate using empirical Bayes estimation which enables a data-driven
choice of the regularization strength through marginal maximum likelihood
estimation. Observing that neither Bayesian credible intervals nor standard
bootstrap confidence intervals succeed in achieving good frequentist coverage
in this problem due to the inherent bias of the regularized point estimate, we
introduce an iteratively bias-corrected bootstrap technique for constructing
improved confidence intervals. We show using simulations that this enables us
to achieve nearly nominal frequentist coverage with only a modest increase in
interval length. The proposed methodology is applied to unfolding the $Z$ boson
invariant mass spectrum as measured in the CMS experiment at the Large Hadron
Collider.

37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph