\begin{document}$ \beta $\end{document}-decay half-lives are predicted based on an empirical formula and the mass predictions from various nuclear models. It is found that the empirical formula can reproduce the nuclear \begin{document}$ \beta $\end{document}-decay half-lives well, especially for short-lived nuclei with \begin{document}$ T_{1/2}< 1 $\end{document} s. The theoretical half-life uncertainties from \begin{document}$ \beta $\end{document}-decay energies and the parameters of the empirical formula are further investigated. It is found that the uncertainties of the half-lives are relatively large for heavy nuclei and nuclei near the neutron-drip line. For nuclei on the r-process path, the uncertainties for those with \begin{document}$ N = 126 $\end{document} are about one order of magnitude, which are much larger than the uncertainties for those with \begin{document}$ N = 50 $\end{document} and \begin{document}$ 82 $\end{document}. However, theoretical uncertainties from the parameters of the empirical formula are relatively small for the nuclei on the r-process path, which indicates that the empirical formula is very suitable for predicting the \begin{document}$ \beta $\end{document}-decay half-lives in r-process simulations."> Exploring the uncertainties in theoretical predictions of nuclear <i>β</i>-decay half-lives -
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