期刊
APPLIED RADIATION AND ISOTOPES
卷 158, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.apradiso.2020.109046
关键词
Half-life; Uncertainty; Propagation; Activity; Nuclear data
An analytical equation is derived for the uncertainty propagation factor for a half-life determination from a leasts-quares 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.
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