Astorga, Juan M.Juan M.AstorgaReyes, JimmyJimmyReyesSantoro, Karol, IKarol, ISantoroVenegas, OsvaldoOsvaldoVenegasGomez, Hector W.Hector W.Gomez2025-12-302025-12-3020202227-7390https://hdl.handle.net/20.500.12740/23784This article introduces an extension of the Power Muth (PM) distribution for modeling positive data sets with a high coefficient of kurtosis. The resulting distribution has greater kurtosis than the PM distribution. We show that the density can be represented based on the incomplete generalized integro-exponential function. We study some of its properties and moments, and its coefficients of asymmetry and kurtosis. We apply estimations using the moments and maximum likelihood methods and present a simulation study to illustrate parameter recovery. The results of application to two real data sets indicate that the new model performs very well in the presence of outliers.Acceso Abiertogeneralized integro-exponential functionkurtosismaximum likelihoodpower muth distributionslash distributionhttp://dx.doi.org/10.3390/math8091537