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I have the following problem: I want to characterize two lots of detectors in order to retrieve their mean cross section and standard deviation for a proton beam. For cross section I mean the number of counts respect the fluence of particle (fluence = integral of the particle flux over the time).

Now for each lot of sensor I have 12 detector. For each detector I made some measurements at different energy. For istance 3 measurements at 30 MeV, 10 measurements at 60 MeV and so on..

For each measurements more then 6000 counts were collected.

Now I want to calculate some meaningful parameter to characterize the detectors.

What I did was to collect all the measurements carried out at the same energy but on different detectors belonging to the same lot and calculating their mean and standard deviation as a gaussian distribution. Now the 1-sigma standard deviation could be called uncertainty?

Is the process correct? Am I missing something?

Should I use a Poisson distribution?

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# Detector Characterization Uncertainty -Poisson

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