Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicative scale uncertainties in the unified approach for
  constructing confidence intervals   We have investigated how uncertainties in the estimation of the detection
efficiency affect the 90% confidence intervals in the unified approach for
constructing confidence intervals. The study has been conducted for experiments
where the number of detected events is large and can be described by a Gaussian
probability density function. We also assume the detection efficiency has a
Gaussian probability density and study the range of the relative uncertainties
$\sigma_\epsilon$ between 0 and 30%. We find that the confidence intervals
provide proper coverage over a wide signal range and increase smoothly and
continuously from the intervals that ignore scale uncertainties with a
quadratic dependence on $\sigma_\epsilon$.

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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom