Changes between Version 15 and Version 16 of DatabaseBasedAnalysis/Spectrum


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Timestamp:
Dec 3, 2019, 5:07:02 PM (10 months ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v15 v16  
    1717The number of excess events, for data and simulations, is defined as
    1818
    19 \[N_\textrm{exc} = N_\textrm{sig} - N_\textrm{bg}\]
     19\[N_\textrm{exc} = N_\textrm{sig} - \hat N_\textrm{bg}\]
    2020
    21 where \(N_\textrm{sig}\) 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.
     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, \(\hat N_\textrm{bg}\) 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.
     22
     23The average number of background events \(\hat N_\textrm{bg}\) is the total number of background events \(\N_\textrm{bg}\) from all off-regions times the corresponding weight \(\omega\). For five off-regions, this yields
     24
     25\[\(\hat N_\textrm{bg}\) = \frac{N_\textrm{bg}}{5}\]
    2226
    2327