Multiplicative scale uncertainties in the unified approach for constructing confidence intervals
Journal Article
·
· Nuclear Instruments & Methods in Physics Research, Section A
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 and increase smoothly and continuously from the intervals that ignore scale uncertainties with a quadratic dependence on $$\sigma_\epsilon$$.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-060R23177
- OSTI ID:
- 956235
- Report Number(s):
- JLAB-PHY-08-918; arXiv:0812.112; DOE/OR/23177-0563
- Journal Information:
- Nuclear Instruments & Methods in Physics Research, Section A, Journal Name: Nuclear Instruments & Methods in Physics Research, Section A
- Country of Publication:
- United States
- Language:
- English
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