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|Title:||Derivation of an uncertainty propagation factor for half-life determinations|
|Authors:||POMME STEFAAN; DE HAUWERE TOTA|
|Citation:||APPLIED RADIATION AND ISOTOPES vol. 158 p. 109046|
|Publisher:||PERGAMON-ELSEVIER SCIENCE LTD|
|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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