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arXiv 1209.3534physics.ao-phphysics.data-anstat.AP
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雨的相空间参数化:伽玛分布的不足

Phase space parametrization of rain: the inadequacy of the gamma distribution

Massimiliano Ignaccolo, Carlo De Michele

摘要:

我们表明,伽玛分布是不是一个适当的适合的概率密度函数的滴直径使用Kolmogorov-Smirnov拟合优度测试。我们提出了一个不同的参数化液滴尺寸分布,这不取决于任何特定的功能形式,是基于标准化的中心时刻的采用。前三个标准化的中心矩足以表征地面上的水滴直径分布。这些参数与液滴计数一起形成4元组,其完全描述液滴尺寸分布的可变性。这4元组参数的笛卡尔积是降雨相空间。使用disdrometer数据从10个不同的位置,我们确定不变的,不依赖于位置,属性的降雨现象。

英文摘要:

We show that the Gamma distribution is not an adequate fit for the probability density function of drop diameters using the Kolmogorov-Smirnov goodness of fit test. We propose a different parametrization of drop size distributions, which not depending by any particular functional form, is based on the adoption of standardized central moments. The first three standardized central moments are sufficient to characterize the distribution of drop diamters at the ground. These parameters together with the drop count form a 4-tuple which fully describe the variability of the drop size distributions. The Cartesian product of this 4-tuple of parameters is the rainfall phase space. Using disdrometer data from 10 different locations we identify invariant, not depending on location, properties of the rainfall phenomenon.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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