Changes between Version 12 and Version 13 of DatabaseBasedAnalysis/Spectrum


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Timestamp:
Dec 3, 2019, 5:02:01 PM (10 months ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v12 v13  
    77
    88For an observation with an effective observation time \(\Delta T\), this yields:
    9 \[\phi(E) = \frac{1}{A_0\cdot \Delta T}\frac{dN}{\epsilon(E)\cdot dE}\]
     9\[\phi(E) = \frac{1}{A_0\cdot \Delta T}\frac{dN}{d\epsilon(E)\cdot dE}\]
    1010
    11 The total area \(A_0\) and the corresponding efficiency \(\epsilon(E)\) are of course only available for simulated data. For simulated data, \(A_0\) is the production area and \(\epsilon(E)\) the corresponding energy dependent efficiency of the analysis chain.
     11The total area \(A_0\) and the corresponding efficiency \(\epsilon(E)\) are of course only available for simulated data. For simulated data, \(A_0\) is the production area and \(\epsilon(E)\) the corresponding energy dependent efficiency of the analysis chain. For a given energy bin, the efficiency is then defined as
     12
     13\[\epsilon(E) = \frac{N_\textrm{exc}(E)}{N_0(E)} \]
     14
     15where \(N_0\) is the number of simulated events in this energy bin and \(N_{exc}\) the number of *excess* events that are produced by the analysis chain.
     16
     17The number of excess events, for data and simulations, is defined as
     18
     19\[N_\textrm{exc} = N_\textrm{sig} - N_\textrm{bg}\]
     20
     21where \{N_\textrm{sig}\) is the number of events identified as potential gammas from the source direction ('on-source') and \(N_\textrm{bg}\) the number of gamma-like events measured 'off-source'. Note that for Simulations, \(N_\textrm{bg}\) is not necessarily zero for wobble-mode observations as an event can survive the analysis for on- and off-events, if this is not protected by the analysis chain.
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