Barranco-Chamorro, InmaculadaInmaculadaBarranco-ChamorroIriarte, Yuri A.Yuri A.IriarteGomez, Yolanda M.Yolanda M.GomezAstorga, Juan M.Juan M.AstorgaGomez, Hector W.Hector W.Gomez2025-12-302025-12-3020212073-8994https://hdl.handle.net/20.500.12740/23717Specifying a proper statistical model to represent asymmetric lifetime data with high kurtosis is an open problem. In this paper, the three-parameter, modified, slashed, generalized Rayleigh family of distributions is proposed. Its structural properties are studied: stochastic representation, probability density function, hazard rate function, moments and estimation of parameters via maximum likelihood methods. As merits of our proposal, we highlight as particular cases a plethora of lifetime models, such as Rayleigh, Maxwell, half-normal and chi-square, among others, which are able to accommodate heavy tails. A simulation study and applications to real data sets are included to illustrate the use of our results.Acceso Abiertogeneralized Rayleigh distributionEM algorithmkurtosismaximum likelihood estimationslashed generalized Rayleigh distributionhttp://dx.doi.org/10.3390/sym13071226