Changes between Version 74 and Version 75 of DatabaseBasedAnalysis/Spectrum
- Timestamp:
- 12/05/19 09:11:09 (5 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
DatabaseBasedAnalysis/Spectrum
v74 v75 32 32 Assuming Gaussian errors, the statistical error is thus 33 33 34 \[\sigma^2( \phi(E)) = \left(\frac{d\phi(E)}{dN_0}\right)^2\sigma^2(N_0) + \left(\frac{d\phi(E)}{dN_\textrm{exc}^\textrm{MC}}\right)^2\sigma^2(N_\textrm{exc}^\textrm{MC}) + \left(\frac{d\phi(E)}{dN_\textrm{exc}}\right)^2\sigma(N_\textrm{exc})^2\]34 \[\sigma^2(N_\textrm{exc}) = \left(\frac{dN_\textrm{exc}}{dN_\textrm{sig}}\right)^2\sigma^2(N_\textrm{sig}) + \left(\frac{dN_\textrm{exc}}{d\hat N_\textrm{bg}}\right)^2\sigma^2(\hat N_\textrm{bg}) = N_\textrm{sig} + \frac{1}{5^2}N_\textrm{bg} \] 35 35 36 36 … … 56 56 \[\sigma^2(N_\textrm{exc}^\textrm{MC}) = \left(\frac{dN_\textrm{exc}^\textrm{MC}}{dN_\textrm{sig}^\textrm{MC}}\right)^2\sigma^2(N_\textrm{sig}^\textrm{MC}) + \left(\frac{dN_\textrm{exc}^\textrm{MC}}{d\hat N_\textrm{bg}^\textrm{MC}}\right)^2\sigma^2(\hat N_\textrm{bg}^\textrm{MC}) \] 57 57 58 \[\sigma^2(N_\textrm{exc}) = \left(\frac{dN_\textrm{exc}}{dN_\textrm{sig}}\right)^2\sigma^2(N_\textrm{sig}) + \left(\frac{dN_\textrm{exc}}{d\hat N_\textrm{bg}}\right)^2\sigma^2(\hat N_\textrm{bg}) = N_\textrm{sig} + \frac{1}{5^2}N_\textrm{bg} \]59 58 60 59 \[\sigma^2(N_\textrm{sig}) = N_\textrm{sig}\]
