Olmos, Neveka M.Neveka M.OlmosVenegas, OsvaldoOsvaldoVenegasGomez, Yolanda M.Yolanda M.GomezIriarte, Yuri A.Yuri A.Iriarte2025-12-302025-12-3020192073-8994https://hdl.handle.net/20.500.12740/23700In this paper we introduce a new distribution constructed on the basis of the quotient of two independent random variables whose distributions are the half-normal distribution and a power of the exponential distribution with parameter 2 respectively. The result is a distribution with greater kurtosis than the well known half-normal and slashed half-normal distributions. We studied the general density function of this distribution, with some of its properties, moments, and its coefficients of asymmetry and kurtosis. We developed the expectation-maximization algorithm and present a simulation study. We calculated the moment and maximum likelihood estimators and present three illustrations in real data sets to show the flexibility of the new model.Acceso Abiertoslashed half-normal distributionkurtosislikelihoodEM algorithmhttp://dx.doi.org/10.3390/sym11091150