Derivation of an uncertainty propagation factor for half-life determinations
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.
POMME Stefaan;
DE HAUWERE Tota;
2020-02-05
PERGAMON-ELSEVIER SCIENCE LTD
JRC117563
0969-8043 (online),
https://publications.jrc.ec.europa.eu/repository/handle/JRC117563,
10.1016/j.apradiso.2020.109046 (online),
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