Changes between Version 66 and Version 67 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
12/04/19 11:28:14 (6 years ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v66 v67  
    4848
    4949\[\sigma^2(N_0) = \sum_\textrm{corsika}\omega_i^2(E)\omega_i^2(\theta)\]
     50
    5051\[\sigma^2(N_\textrm{exc}^\textrm{MC}) =  \left(\frac{d\phi(E)}{dN_\textrm{sig}^\textrm{MC}}\right)^2\sigma^2(N_\textrm{sig}^\textrm{MC}) +  \left(\frac{d\phi(E)}{d\hat N_\textrm{bg}^\textrm{MC}}\right)^2\sigma^2(\hat N_\textrm{bg}^\textrm{MC}) \]
    51 \[\sigma^2(N_\textrm{exc}) = \left(\frac{d\phi(E)}{dN_\textrm{sig}}\right)^2\sigma^2(N_\textrm{sig}) +  \left(\frac{d\phi(E)}{d\hat N_\textrm{bg}}\right)^2\sigma^2(\hat N_\textrm{bg}) \]
     52
     53\[\sigma^2(N_\textrm{exc}) = \left(\frac{dN_\textrm{exc}}{dN_\textrm{sig}}\right)^2\sigma^2(N_\textrm{sig}) +  \left(\frac{dN_\textrm{exc}}{d\hat N_\textrm{bg}}\right)^2\sigma^2(\hat N_\textrm{bg}) \]
    5254
    5355\[\sigma^2(N_\textrm{sig}) = N_\textrm{sig}\]
     56
    5457\[\sigma^2(\hat N_\textrm{bg})  = \frac{1}{5^2}\sigma^2(N_\textrm{bg}) = \frac{1}{5^2} N_\textrm{bg}\]
    5558
     59\[\sigma^2(N_\textrm{sig}^\textrm{MC}) = \sum_\textrm{sig}^\textrm{MC}\omega^2_i(E)\omega^2_i(\theta)\]
    5660
    57 \[\sigma^2(N_\textrm{sig}^\textrm{MC}) = \sum_\textrm{sig}^\textrm{MC}\omega^2_i(E)\omega^2_i(\theta)\]
    5861\[\sigma^2(\hat N_\textrm{bg}^\textrm{MC}) = \frac{1}{5^2}\sigma^2(N_\textrm{bg}^\textrm{MC}) = \frac{1}{5^2}\sum_\textrm{bg}^\textrm{MC}\omega^2_i(E)\omega^2_i(\theta)\]
    5962