Figueroa Zúñiga, Jorge IsaacToledo Balboa, Juan Guillermo2022-01-142024-05-152024-08-282022-01-142024-05-152024-08-282021https://repositorio.udec.cl/handle/11594/9474Tesis presentada para optar al grado de Magíster en Estadística.Models involving the Kumaraswamy distribution have been a very studied in the past years in the analysis and modeling of bounded continuos variables. In this paper we focus on one in particular: the Trapezoidal Kumaraswamy model. We present an estimation method for its parameters based on bayesian approaches: the Stochastic EM algorithm (SEM), which avoids the most common issues of the classical EM. Then, we apply this method to the daily covid-19 cases in Chile using this model.esCC BY-NC-ND 4.0 DEED Attribution-NonCommercial-NoDerivs 4.0 InternationalDistribución de KumaraswamyAlgoritmosTeoría Bayesiana de Decisiones EstadísticasTesis