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Compute and propagate statistical uncertainty in live time faction computation #216

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paolomassa opened this issue Jun 12, 2024 · 1 comment
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enhancement New feature or request reviewed 2024-10

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@paolomassa
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To get a better estimate of the uncertainty we have on the recorded counts, we should compute and propagate the error on the live time fraction. This involves both imaging and spectroscopy, and is particularly relevant when the live time fraction is low.

@paolomassa paolomassa added the enhancement New feature or request label Jun 12, 2024
@grazwegian
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A rough estimate is currently made for spectroscopy using the total error on the triggers.

corrected_counts_upper = spectrogram.counts/livetime_fraction_upper
corrected_counts_lower = spectrogram.counts/livetime_fraction_lower
error_from_livetime = (corrected_counts_upper - corrected_counts_lower)/2.
corrected_error = sqrt( (spectrogram.error/livetime_fraction)^2. + error_from_livetime^2.)

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enhancement New feature or request reviewed 2024-10
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