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Theoretical model predictions and computational simulations of counting statistics for a stationary Poisson process processed by a spectrometer with pulse-pileup rejection are compared with experimental data from gamma-ray spectrometry with pileup rejection, either using a digital multi-channel analyser or analogue pulse processing. The measured time-interval distribution (TID) of counted events is faithfully reproduced by computer simulations of a serial chain of extending dead time and pileup rejection. The overall input rate can be inferred from the slope of the TID in the fast channel or the initial exponential region of the TID in the slow channel. Approximate formulas successfully reproduce the observed standard deviation of counts in the full spectrum as well as in regions of interest in real-time measurements. Probabilistic models further predict throughput factors for both the full spectrum and regions dominated by singular events, directly applicable to peak areas in gamma-ray spectra. These results demonstrate, for the first time, that real-time measurements made with a digital spectrometer using pileup rejection are under statistical control.
2026-07-23
KOREAN NUCLEAR SOC
JRC143431
1738-5733 (online),   
https://www.sciencedirect.com/science/article/pii/S1738573326004602?via%3Dihub,    https://publications.jrc.ec.europa.eu/repository/handle/JRC143431,   
10.1016/j.net.2026.104572 (online),   
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