Changes between Version 90 and Version 91 of DatabaseBasedAnalysis/Spectrum
 Timestamp:
 Dec 5, 2019, 10:04:07 AM (11 months ago)
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DatabaseBasedAnalysis/Spectrum
v90 v91 74 74 For the simulations, the error on \(N\) is the error on the weighted sum 75 75 76 \[\sigma^2(N_\textrm{sig,bg}) = \sum_ j\left[\frac{\sum_i d\omega_i}{d\omega_j}\sigma(\omega_j)\right]^2 = \sum\omega_i^2\]76 \[\sigma^2(N_\textrm{sig,bg}) = \sum_i\left[\frac{\sum_j d\omega_j}{d\omega_i}\sigma(\omega_i)\right]^2 = \sum\sigma^2(\omega_i)\] 77 77 78 end thus78 With the error \(\sigma^2(\omega_i) = \omega_i^2\) this provides 79 79 80 80 \[\sigma^2(N_\textrm{exc}^\textrm{MC}) = \sum_\textrm{sig}\omega_i + \frac{1}{5^2}\sum_\textrm{bg}\omega_i \]