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identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data

机译：洪峰峰值和洪水量数据双变量频率分析的合适copula的识别

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摘要

Multivariate flood frequency analysis, involving flood peak flow, volume and duration, has been traditionally accomplished by employing available functional bivariate and multivariate frequency distributions that have a restriction on the marginals to be from the same family of distributions. The copula concept overcomes this restriction by allowing a combination of arbitrarily chosen marginal types. It also provides a wider choice of admissible dependence structure as compared to the conventional approach. The availability of a vast variety of copula types makes the selection of an appropriate copula family for different hydrological applications a non-trivial task. Graphical and analytic goodness-of-fit tests for testing the suitability of copulas are beginning to evolve and are being developed; there is limited experience of their usage at present, especially in the hydrological field. This paper provides a step-wise procedure for copula selection and illustrates its application to bivariate flood frequency analysis, involving flood peak flow and volume data. Several graphical procedures, tail dependence characteristics, and formal goodness-of-fit tests involving a parametric bootstrap-based technique are considered while investigating the relative applicability of six copula families. The Clayton copula has been identified as a valid model for the particular flood peak flow and volume data set considered in the study.
机译：传统上，涉及洪水峰值流量，流量和持续时间的多元洪水频率分析是通过使用可用的函数双变量和多元频率分布来完成的，这些函数对来自同一分布族的边际具有限制。 copula概念通过允许任意选择的边际类型的组合来克服此限制。与常规方法相比，它还提供了更多的允许依赖性结构选择。种类繁多的系动词的可用性使得针对不同水文应用选择合适的系动词族成为一项艰巨的任务。图形化和分析拟合优度测试用于测试copulas的适应性测试正在开始发展并正在发展；目前，使用它们的经验有限，尤其是在水文领域。本文提供了分步进行的copula选择程序，并说明了其在双变量洪水频率分析中的应用，涉及洪水峰值流量和流量数据。在调查六个系系的相对适用性时，考虑了一些图形化程序，尾部依赖特性以及涉及基于参数引导程序的技术的正式拟合优度测试。对于研究中考虑的特定洪峰流量和体积数据集，Clayton copula被确定为有效模型。

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  • 来源
    《Nordic hydrology》 |2011年第3期|p.193-216|共24页
  • 作者

    Hemant Chowdhary; Luis A. Escobar; Vijay P. Singh;

  • 作者单位

    Department of Civil and Environmental Engineering, Louisiana State University,Baton Rouge, Louisiana,USA;

    Department of Experimental statistics,Louisiana State University,Baton Rouge, Louisiana,USA;

    Department of Biological and AgriculturalEngineering & Department of Civil &Environmental EngineeringTexas A & M university,College Station, Texas,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

    bivariate flood frequency; chi-plot; clayton copula; copula; generating functions; k-plot;

    机译：二元洪水频率;Chi图;克莱顿copula;copula;生成函数;k图;

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