Comment on “Including systematic uncertainties in confidence interval construction for Poisson statistics”
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چکیده
منابع مشابه
Comment on “ Including Systematic Uncertainties in Confidence Interval Construction for Poisson Statistics ”
The incorporation of systematic uncertainties into confidence interval calculations has been addressed recently in a paper by Conrad et al. (Physical Review D 67 (2003) 012002). In their work, systematic uncertainities in detector efficiencies and background flux predictions were incorporated following the hybrid frequentist-Bayesian prescription of Cousins and Highland, but using the likelihoo...
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In high energy physics, a widely used method to treat systematic uncertainties in confidence interval calculations is based on combining a frequentist construction of confidence belts with a Bayesian treatment of systematic uncertainties. In this note we present a study of the coverage of this method for the standard Likelihood Ratio (aka Feldman & Cousins) construction for a Poisson process wi...
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We consider the Roe-Woodroofe construction of confidence intervals for the case of a Poisson distributed variate where the mean is the sum of a known background and an unknown non-negative signal. We point out that the intervals do not have coverage in the usual sense but can be made to have such with a modification that does not affect the believability and other desirable features of this att...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2003
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.67.118101