Because of the dramatic changes that are being observed in the climatic conditions of the world, such as excess of rains, drought and huge floods, we introduce a versatile hydrologic probability model with three parameters. The proposed model is a combination of the Lomax and generalized Weibull distributions based on an exponent odd function. Main properties of the distribution are obtained, such as shapes of the probability density and hazard rate functions, quantile function, asymptotic distribution, information matrix and characterization via hazard rate function. Parameters are estimated via the maximum likelihood estimation method. Four data sets are used to compare the proposed model with a number of well-known hydrologic models. The proposed model is found to be suitable and representative for heavy-tailed hydrological data sets, with least loss of information attitude and a realistic return period.

中文翻译：

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一种新的概率模型及其在重尾水文数据中的应用

由于在世界气候条件下观察到的急剧变化，例如降雨过多，干旱和大洪水，我们引入了具有三个参数的通用水文概率模型。所提出的模型是基于指数奇函数的Lomax和广义Weibull分布的组合。获得了分布的主要属性，例如概率密度和危险率函数的形状，分位数函数，渐近分布，信息矩阵以及通过危险率函数进行表征。通过最大似然估计方法估计参数。使用四个数据集将提议的模型与许多众所周知的水文模型进行比较。发现该建议的模型适用于重尾水文数据集，并且具有代表性，