Abstract The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of applied research. We give necessary and/or sufficient conditions for some stochastic orders of log-epsilon-skew-normal distributions. Also, we give sufficient conditions for orders of moments and Gini indexes. Finally, it is presented a real data application.

中文翻译：

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对数-ε-偏斜-正态分布的随机阶

摘要 对数-ε-偏斜-正态分布族是对数-正态分布的广义类。广泛用于在许多应用研究领域对非负数据进行建模。我们为 log-epsilon-skew-normal 分布的一些随机顺序给出了必要和/或充分条件。此外，我们给出了矩阶和基尼指数的充分条件。最后，展示了一个真实的数据应用程序。