Changes between Version 220 and Version 221 of DatabaseBasedAnalysis/Spectrum

Timestamp:

12/09/19 17:00:24 (5 years ago)

Author:

tbretz

Comment:

--

DatabaseBasedAnalysis/Spectrum

@@ -120 +120 @@
 \[\sigma^2(\tau_i) = \left[\frac{d\tau_i}{d\Delta T_i}\sigma(\Delta T_i)\right]^2+\left[\frac{d\tau_i}{dN_i}\sigma(N_i)\right]^2= \tau_i^2\cdot\left[\left(\frac{\sigma(\Delta T_i)}{\Delta T_i}\right)^2+\left(\frac{\sigma(N_i)}{N_i}\right)^2\right]\]
 
-While \(\sigma(\Delta T_i)\) is given by the data acquisition and 1s per run, \(\sigma^2(N_i)=N_i\) is just the statistical error \(\sqrt{N_i}\) of the number of events event counting.
+While \(\sigma(\Delta T_i)/\Delta T_i \approx 1s/5min\) is given by the data acquisition and 1s per 5min run, \(\sigma(N_i)/N_i=1/\sqrt{N_i}\) is just the statistical error of the number of events.
 
 As the efficiency \(\epsilon(\delta E)\) for an energy interval \(\delta E\) is calculated as