Title: Derivation of an uncertainty propagation factor for half-life determinations
Authors: POMME STEFAANDE HAUWERE TOTA
Citation: APPLIED RADIATION AND ISOTOPES vol. 158 p. 109046
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
Publication Year: 2020
JRC N°: JRC117563
ISSN: 0969-8043 (online)
URI: https://publications.jrc.ec.europa.eu/repository/handle/JRC117563
DOI: 10.1016/j.apradiso.2020.109046
Type: Articles in periodicals and books
Abstract: An analytical equation is derived for the uncertainty propagation factor for a half-life determination from a least-squares fit to equidistant activity measurements performed with identical relative uncertainties. The obtained formula applies to a purely random statistical uncertainty component. It is equivalent to the solution published by Parker in Nucl. Instr. Meth. A 286, 502. A more general equation for weighted least-squares fitting is derived and presented in a compact manner. It is used as a benchmark to verify the applicability of Parker's solution to non-equidistant data with unequal uncertainties.
JRC Directorate:Nuclear Safety and Security

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