**6. Concluding Remarks**

Since its beginning, the Weibull distribution and regression showed how it is important. In the frequentist context, this model depends strongly on the asymptotic properties of the MLE. Here, we presented an expression of the skewness that, in practical applications, can be used as an indicator of departure from the normal distribution of the MLE. Although the expression (3) entails a grea<sup>t</sup> deal of algebra, the final expression (5) of the skewness of the MLE distribution has a very nice form only involving simple operations on diagonal matrices and can be easily implemented into a statistical software, for instance, R, [10].

**Author Contributions:** All the authors contributed significantly to the present paper.

**Funding:** The research of D.I. Gallardo was supported by Grant from FONDECYT (Chile) 11160670. H.W. Gómez was supported by Grant SEMILLERO UA-2019 (Chile).

**Acknowledgments:** We also acknowledge the referee's suggestions that helped us to improve this work.

**Conflicts of Interest:** The authors declare no conflict of interest.
