论文标题
使用混合伽马Weibull分布的每日降水量建模
Modeling of Daily Precipitation Amounts Using the Mixed Gamma Weibull Distribution
论文作者
论文摘要
通过认识到每日沉淀量的建模的主要困难是选择适当的概率分布,本研究旨在建立模型选择框架,以确定从常用的概率分布中每日沉淀量建模的适当概率分布,即指数,伽玛,韦布尔,韦布尔和混合指数分布。混合伽玛Weibull(MGW)分布有此目的,因为所有常用的概率分布都是MGW分布的特殊情况,并且MGW分布将所有常用的概率分布整合到一个框架中。最后,通过大型样本的可能性推断,可以建立模型选择标准,以确定从MGW分布框架中每天沉淀量建模的适当模型。
By recognizing that the main difficulty of the modeling of daily precipitation amounts is the selection of an appropriate probability distribution, this study aims to establish a model selection framework to identify the appropriate probability distribution for the modeling of daily precipitation amounts from the commonly used probability distributions, i.e. the exponential, Gamma, Weibull, and mixed exponential distributions. The mixed Gamma Weibull (MGW) distribution serves this purpose because all the commonly used probability distributions are special cases of the MGW distribution, and the MGW distribution integrates all the commonly used probability distributions into one framework. Finally, via the large sample inference of likelihood ratios, a model selection criterion can be established to identify the appropriate model for the modeling of daily precipitation amounts from the MGW distribution framework.