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arXiv · 0812.1120

Multiplicative scale uncertainties in the unified approach for constructing confidence intervals

E. S. Smith
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Abstract

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 $σ_ε$ 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 $σ_ε$.

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E. S. Smith. 2009-03-31. Multiplicative scale uncertainties in the unified approach for constructing confidence intervals. https://doi.org/10.1016/j.nima.2009.03.206

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