\begin{document}$ \Lambda_c^+ \to X e^+ \nu_e $\end{document}. Unlike charmed mesons produced near the threshold, \begin{document}$ \Lambda_c^+ $\end{document} baryons produced in \begin{document}$ e^+e^- $\end{document} annihilation exhibit a complex momentum distribution, which makes the transformation of the electron energy spectrum from the laboratory frame to the \begin{document}$ \Lambda_c^+ $\end{document} rest-frame non-trivial. To address this issue, we develop a novel Bayesian inference method to reconstruct the electron energy moments in the \begin{document}$ \Lambda_c^+ $\end{document} rest-frame. We determine the HQET parameters \begin{document}$ \mu_\pi^2(\Lambda_c^+) $\end{document} and \begin{document}$ \rho_D^3(\Lambda_c^+) $\end{document} for the first time using a purely data-driven approach by performing a global fit of theoretical predictions in the 1S mass scheme to these extracted moments."> Bayesian extraction of HQET parameters from the inclusive semi-leptonic decay of the <inline-formula><tex-math id="Z-20260410142021">\begin{document}$ {\Lambda_c^+} $\end{document}</tex-math></inline-formula> baryon -
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