Changes between Version 59 and Version 60 of DatabaseBasedAnalysis/Spectrum

Timestamp:

12/03/19 22:35:04 (5 years ago)

Author:

tbretz

Comment:

--

DatabaseBasedAnalysis/Spectrum

@@ -37 +37 @@
 
 
-\[\phi(E) = \frac{N_\textrm{sig} - \hat N_\textrm{bg}}{N_\textrm{sig}^\textrm{MC} - \hat N_\textrm{bg}^\textrm{MC}}\cdot \frac{N_0(E)}{A_0\cdot\Delta T}\]
+\[\phi(E) = \frac{N_\textrm{sig}(E) - \hat N_\textrm{bg}(E)}{N_\textrm{sig}^\textrm{MC}(E) - \hat N_\textrm{bg}^\textrm{MC}(E)}\cdot \frac{N_0(E)}{A_0\cdot\Delta T}\]
 
 
@@ -43 +43 @@
 \[N_\textrm{bg}^\textrm{MC} = \sum_\textrm{bg}^\textrm{MC}\omega_i(E)\omega_i(\theta)\]
 \[N_0(E) = \sum_\textrm{corsika}^\textrm{MC}\omega_i(E)\omega_i(\theta)\]
+
+
+\[\sigma^2(\phi(E)) = \left(\frac{d\phi(E)}{dN_0}\right)\sigma^2(N_0) + \left(\frac{d\phi(E)}{dN_\textrm{exc}^\textrm{MC}}\right)\sigma^2(N_\textrm{exc}^\textrm{MC}) +  \left(\frac{d\phi(E)}{dN_\textrm{exc}}\right)^2\sigma(N_\textrm{exc})^2\]
+
+