A Generalized Rayleigh Family of Distributions Based on the Modified Slash Model

Specifying 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 proposed. Its structural properties are studied: stochastic representation, probability density function, hazard rate moments and estimation parameters via maximum likelihood methods. As merits our proposal, we highlight as particular cases plethora models, such Rayleigh, Maxwell, half-normal chi-square, among others, which able accommodate heavy tails. A simulation study applications real sets included illustrate use results.