**5. Conclusions**

In this work, a new asymmetric model has been introduced. It is based on the combination of skew-*t* [1] and power-*t* [2] models. The new model presents greater ranges of asymmetry and kurtosis, which is very useful for modeling skewed and heavy-tailed data. The problem of estimating the parameters in the model is dealt by using the maximum likelihood approach which is also used for developing large sample properties for the estimators. The elements of the observed information matrix are analytically obtained. The likelihood ratio statistics can be used for testing the APST null hypothesis since the Student-*t*, ST, and PT models are special cases of the model entertained. Two applications to volcano heights data and stellar abundances data indicate that the proposed model can be a useful alternative to the ST and PT models.

**Author Contributions:** Individual contributions to this article: conceptualization, R.T.-F., H.B., and G.M.-F.; methodology, R.T.-F., H.B., and G.M.-F.; software, R.T.-F., H.B., and G.M.-F.; validation, R.T.-F., H.B., and G.M.-F.; formal analysis, R.T.-F., H.B., and G.M.-F.; investigation, R.T.-F., H.B., and G.M.-F.; resources, R.T.-F., H.B., and G.M.-F.; writing-original draft preparation, R.T.-F., H.B., and G.M.-F.; writing-review and editing, R.T.-F., H.B., and G.M.-F. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research received no external funding. The research of R. Tovar-Falón was supported by the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq/Brazil) under gran<sup>t</sup> 140831/2014-2.

**Acknowledgments:** We thank the anonymous referees for helpful suggestions which improved the article.

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