The Extended Half-Skew Normal Distribution

A new class of densities for modelling non-negative data, which is based on the skew-symmetric family distributions proposed by Azzalini introduced.We focus model generated skew-normal distribution, called Extended Half Skew-Normal distribution. Its relevant properties are studied. These pdf, cdf, moments, mgf, and stochastic representation. The parameters estimated moment maximum likelihood methods. simulation study to assess performance estimators in finite samples was carried out. Two real applications included, EHSN provides a better fit than other proposals literature.