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On the tails of distributions of annual peak flow

机译:年高峰流量分布的尾巴

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摘要

This study discusses an application of heavy-tailed distributions to modelling of annual peak flows in general and of Polish data sets in particular. One- and two-shape parameter heavy-tailed distributions are obtained by transformations of random variables. The correct selection of a flood frequency model with emphasis on heavy-tailed distribution discrimination is then discussed. If a distribution is wrongly assumed, the error, in the upper quantile, arising as a result, depends on the method of parameter estimation and is shown analytically for three methods. Asymptotic and sampling values (got by simulation) were assessed for the pair log-Gumbel (LG) as a false distribution and log-normal (LN) as a true distribution. Comparing the upper quantiles of various distributions with the same values of moments, it is found that heavy-tailed distributions do not consistently provide higher flood frequency estimates than do soft-tailed distributions. Based on /.-moment ratio diagrams and the test of linearity on log-log plots, it is concluded that Polish datasets of annual peak flows should be modelled using soft-tailed distributions, such as the three-parameter Inverse Gaussian, rather than heavy-tailed distributions.
机译:这项研究讨论了重尾分布在总体上特别是波兰数据集的年峰值流量建模中的应用。通过随机变量的变换获得一形和二形参数的重尾分布。然后讨论了以重尾分布识别为重点的洪水频率模型的正确选择。如果错误地假定了分布,则结果产生的较高分位数的误差取决于参数估计的方法,并通过三种方法进行分析显示。评估对数log-Gumbel(LG)的渐近和采样值(通过模拟获得)为假分布,对数正态(LN)评估为真实分布。将各种分布的较高分位数与相同的矩值进行比较,发现重尾分布不能比软尾分布始终提供更高的洪水频率估计。基于/矩比图和对数对数图上的线性检验,得出的结论是,应该使用软尾分布(例如三参数逆高斯分布)建模波兰的年度峰值流量数据集,而不要使用笨重的分布。尾分布。

著录项

  • 来源
    《Nordic hydrology》 |2011年第3期|p.171-192|共22页
  • 作者单位

    Water Resources Department,Institute of Geophysics,Polish Academy of Sciences,Ksiecia Janusza 64, 01-452 Warsaw,Poland;

    Water Resources Department,Institute of Geophysics,Polish Academy of Sciences,Ksiecia Janusza 64, 01-452 Warsaw,Poland;

    Water Resources Department,Institute of Geophysics,Polish Academy of Sciences,Ksiecia Janusza 64, 01-452 Warsaw,Poland;

    Institute of Meteorology and Water Management,Podlesna 61, 01-673 Warsaw,Poland;

    Faculty of Environmental Engineering,Cracow University of TechnologyWarszawska 24, 31-155 Cracow,Poland;

    Department of Biological and AgriculturalEngineering & Department of Civil &Environmental Engineering,Texas A & M University, Scoates Hall,2117 TAMU, College Station,Texas 77843-2117,USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    bias; heavy tail; hydrological extremes; l-moments; parameters' estimation of probability distribution; quantiles;

    机译:偏差;重尾;水文极端;l-矩;参数估计的概率分布;分位数;

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