Signal Significance in the Presence of Systematic and Statistical Uncertainties
arXiv:hep-ph/0207130 · doi:10.1016/S0168-9002(03)00586-2
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.
9 pages (1 LaTeX file), 6 eps files (figures), generalized system in Sect.4 and added Fig.6, Presented at the ACAT'2002
References in corpus (8)
- Confidence Level Computation for Combining Searches with Small Statistics
- Systematic Errors: facts and fictions
- Estimation of Upper Limits Using a Poisson Statistic
- New Physics Discovery Potential in Future Experiments
- Confidence Intervals for Poisson Distribution Parameter
- Signal Significance in Particle Physics
- Uncertainties and Discovery Potential in Planned Experiments
- Joint Bayesian Treatment of Poisson and Gaussian Experiments in a Chi-squared Statistic
Cited by in corpus (5)
- Evidence for f0(980)f0(980) production in chi_c0 decays
- Experimental test of the probability density function of true value of Poisson distribution parameter by single observation of number of events
- Statistically dual distributions and estimation of the parameters
- The Bayesian Effects in Measurement of the Asymmetry of Poisson Flows
- Hadronic decays of charmonia from BESII