title: Reliability of the peak-analysis results in gamma-ray spectrometry for high relative peak-area uncertainties.
abstract: When measurement results with values near the decision threshold are being considered, a relative uncertainty of 60% is expected. Since such measurement results can be reported, the performance of the peak-analysing software for gamma-ray spectra needs to be examined for peaks that have a large relative uncertainty. The investigation was performed on a series of spectra measured with a HPGe detector under identical counting conditions. It was found that under a limit value of the relative peak area uncertainty the peak-analysis results are reliable with respect to both the peak location and the peak area evaluation. At relative uncertainties exceeding this uncertainty, the probability of type-II errors increases and a systematic influence on the peak area occurs, which originates in fluctuations of the continuous background in the vicinity of the peak. For the counting conditions used in this investigation, the limit relative uncertainty is about 35%, and whereas a systematic influence can be taken into account by a correction factor, the frequency of the type-II errors can only be reduced at the expense of increasing the frequency of the type-I errors.
authors.affiliation: "Jožef Stefan" Institute, Jamova cesta 39, Ljubljana, Slovenia. Electronic address: matjaz.korun@ijs.si.
authors.forename: M
authors.initials: M
authors.lastname: Korun
authors.affiliation: "Jožef Stefan" Institute, Jamova cesta 39, Ljubljana, Slovenia.
authors.forename: B
authors.initials: B
authors.lastname: Vodenik
authors.affiliation: "Jožef Stefan" Institute, Jamova cesta 39, Ljubljana, Slovenia.
authors.forename: B
authors.initials: B
authors.lastname: Zorko
keywords: Decision threshold; Gamma-ray spectra; Peak analysis; Peak-area uncertainties; Type-II errors.