@article{Figueroa-Zúñiga_Niklitschek-Soto_Leiva_Liu_2022, title={Modeling Heavy-Tailed Bounded Data by the Trapezoidal Beta Distribution with Applications}, volume={20}, url={https://revstat.ine.pt/index.php/REVSTAT/article/view/380}, DOI={10.57805/revstat.v20i3.380}, abstractNote={<p>In this paper, by using a new method, we derive the trapezoidal beta (TB) distribution and its properties. The TB distribution is a mixture model, generalizes both the beta and rectangular beta distributions, and allows one to describe bounded data with heavy right and/or left tails. In relation to the two-parameter beta distribution, we add two additional parameters which have an intuitive interpretation. The four TB parameters are estimated with the expectation-maximization algorithm. We conduct a simulation study to evaluate performance of the TB distribution. An application with real data is carried out, which includes a comparison among the beta, rectangular beta and TB distributions indicating that the TB one describes these data better.</p>}, number={3}, journal={REVSTAT-Statistical Journal}, author={Figueroa-Zúñiga , Jorge and Niklitschek-Soto , Sebastián and Leiva , Víctor and Liu , Shuangzhe}, year={2022}, month={Jul.}, pages={387–404} }