**5. Concluding Remarks**

In this paper, a modification of the continuous symmetric-power distribution has been introduced. The particular case of the normal distribution the MPN distribution has been examined in detail. This distribution arises by modifying the distribution function of the symmetrical powers family. After carrying out this modification, a more flexible family of probability distributions is obtained, allowing for the kurtosis coefficient to take a certain range of values in the parameter space. For this model, its basic properties, different method of estimation and Fisher's information matrix were studied. By using a real dataset, we showed that the MPN distribution provides a better fit than other existing models in the literature such as the T S, SN , and PN distributions.

**Author Contributions:** The authors contributed equally to this work.

**Funding:** This work was partially completed while Héctor W. Gómez visited the Universidad de Las Palmas de Gran Canaria, supported by MINEDUC-UA project, code ANT1855. This research was also funded by (EGD) [Ministerio de Economía y Competitividad, Spain] gran<sup>t</sup> number [ECO2013–47092]; (EGD)[Ministerio de Economía, Industria y Competitividad. Agencia Estatal de Investigación] gran<sup>t</sup> number [ECO2017–85577–P ];

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

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