Changes between Version 65 and Version 66 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
12/03/19 22:49:18 (5 years ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v65 v66  
    4545
    4646
    47 \[\sigma^2(\phi(E)) = \left(\frac{d\phi(E)}{dN_0}\right)\sigma^2(N_0) + \left(\frac{d\phi(E)}{dN_\textrm{exc}^\textrm{MC}}\right)\sigma^2(N_\textrm{exc}^\textrm{MC}) +  \left(\frac{d\phi(E)}{dN_\textrm{exc}}\right)^2\sigma(N_\textrm{exc})^2\]
     47\[\sigma^2(\phi(E)) = \left(\frac{d\phi(E)}{dN_0}\right)^2\sigma^2(N_0) + \left(\frac{d\phi(E)}{dN_\textrm{exc}^\textrm{MC}}\right)^2\sigma^2(N_\textrm{exc}^\textrm{MC}) +  \left(\frac{d\phi(E)}{dN_\textrm{exc}}\right)^2\sigma(N_\textrm{exc})^2\]
    4848
    4949\[\sigma^2(N_0) = \sum_\textrm{corsika}\omega_i^2(E)\omega_i^2(\theta)\]
    50 \[\sigma^2(N_\textrm{exc}^\textrm{MC}) =  \left(\frac{d\phi(E)}{dN_\textrm{sig}^\textrm{MC}}\right)\sigma^2(N_\textrm{sig}^\textrm{MC}) +  \left(\frac{d\phi(E)}{d\hat N_\textrm{bg}^\textrm{MC}}\right)\sigma^2(\hat N_\textrm{bg}^\textrm{MC}) \]
    51 \[\sigma^2(N_\textrm{exc}) = \left(\frac{d\phi(E)}{dN_\textrm{sig}}\right)\sigma^2(N_\textrm{sig}) +  \left(\frac{d\phi(E)}{d\hat N_\textrm{bg}}\right)\sigma^2(\hat N_\textrm{bg}) \]
     50\[\sigma^2(N_\textrm{exc}^\textrm{MC}) =  \left(\frac{d\phi(E)}{dN_\textrm{sig}^\textrm{MC}}\right)^2\sigma^2(N_\textrm{sig}^\textrm{MC}) +  \left(\frac{d\phi(E)}{d\hat N_\textrm{bg}^\textrm{MC}}\right)^2\sigma^2(\hat N_\textrm{bg}^\textrm{MC}) \]
     51\[\sigma^2(N_\textrm{exc}) = \left(\frac{d\phi(E)}{dN_\textrm{sig}}\right)^2\sigma^2(N_\textrm{sig}) +  \left(\frac{d\phi(E)}{d\hat N_\textrm{bg}}\right)^2\sigma^2(\hat N_\textrm{bg}) \]
    5252
    5353\[\sigma^2(N_\textrm{sig}) = N_\textrm{sig}\]