This paper introduces a new family of distributions based on the additive model structure. Three submodels of the proposed family are studied in detail. Two simulation studies were performed to discuss the maximum likelihood estimators of the model parameters. The log location-scale regression model based on a new generalization of the Weibull distribution is introduced. Three datasets were used to show the importance of the proposed family. Based on the empirical results, we concluded that the proposed family is quite competitive compared to other models.

中文翻译：

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一个新的灵活的连续分布族：可加 Odd-G 族

本文介绍了一个基于可加模型结构的新分布族。详细研究了拟议家族的三个子模型。进行了两项模拟研究以讨论模型参数的最大似然估计量。介绍了基于威布尔分布的新泛化的对数位置尺度回归模型。三个数据集用于显示所提议家庭的重要性。根据实证结果，我们得出结论，与其他模型相比，所提出的系列具有相当的竞争力。