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Signal significance in the presence of systematic and statistical uncertainties

2002/07/31 by S. I. Bityukov, S.I. Bityukov, Nikolai Krasnikov · 1 citation
Computer Science · Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #Fault Detection and Control Systems #Scientific Measurement and Uncertainty Evaluation #Sensor Technology and Measurement Systems #hep-ex #hep-ph #math.PR #math.ST #physics.data-an #stat.TH

paper · pdf · doi:10.1016/s0168-9002(03)00586-2

published as JHEP 0209 (2002) 060; Nucl.Instrum.Meth. A502 (2003) 795-798 · 9 pages (1 LaTeX file), 6 eps files (figures), generalized system in Sect.4 and added Fig.6, Presented at the ACAT'2002

arxiv created 2002/10/10 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The incorporation of uncertainties to calculations of signal significance in planned experiments is an actual task. Several approaches to this problem are discussed. We present a procedure for taking into account the systematic uncertainty related to nonexact knowledge of signal and background cross sections. A method of a treatment of statistical errors of the expected signal and background rates is proposed. The interrelation between Gamma- and Poisson distributions is demonstrated.

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