Elal-Olivero, DavidDavidElal-OliveroOlivares-Pacheco, Juan F.Juan F.Olivares-PachecoVenegas, OsvaldoOsvaldoVenegasBolfarine, HelenoHelenoBolfarineGomez, Hector W.Hector W.Gomez2025-12-302025-12-3020202227-7390https://hdl.handle.net/20.500.12740/23774The main object of this paper is to develop an alternative construction for the bimodal skew-normal distribution. The construction is based upon a study of the mixture of skew-normal distributions. We study some basic properties of this family, its stochastic representations and expressions for its moments. Parameters are estimated using the maximum likelihood estimation method. A simulation study is carried out to observe the performance of the maximum likelihood estimators. Finally, we compare the efficiency of the new distribution with other distributions in the literature using a real data set. The study shows that the proposed approach presents satisfactory results.Acceso Abiertobimodalsimulationskew-normal distributionstochastic representationhttp://dx.doi.org/10.3390/math8050703