刘九夫, 谢自银, 鲍振鑫, 朱元甡. 洪水频率分析的次序统计量[J]. 水科学进展, 2010, 21(2): 179-187.
引用本文: 刘九夫, 谢自银, 鲍振鑫, 朱元甡. 洪水频率分析的次序统计量[J]. 水科学进展, 2010, 21(2): 179-187.
LIU Jiu-fu, XIE Zi-yin, BAO Zhen-xin, ZHU Yuan-sheng. Order statistics in flood frequency analysis[J]. Advances in Water Science, 2010, 21(2): 179-187.
Citation: LIU Jiu-fu, XIE Zi-yin, BAO Zhen-xin, ZHU Yuan-sheng. Order statistics in flood frequency analysis[J]. Advances in Water Science, 2010, 21(2): 179-187.

洪水频率分析的次序统计量

Order statistics in flood frequency analysis

  • 摘要: 系统阐述了洪水频率分析涉及的洪水次序统计量和广义次序统计量及其抽样分布,并通过数学实验和统计试验两种途径研究了洪水次序统计量、频率次序统计量和重现期次序统计量抽样分布的统计特征及其关系。研究得到的次序统计量和广义次序统计量抽样分布的期望值和中值关系为系统分析和评价适线法奠定了理论基础。

     

    Abstract: In this article,the definition,sampling distribution and its statistical characteristics of order statistics and generalized order statistics in flood frequency analysis were systematically presented,and then the sampling distributions,the statistical characteristics and the relationship of them were studied with the mathematical experiment and Monte Carlo method.The relationships between expected value,median of order statistics and generalized order statistics will establish the base of theory for systematically analyzing and evaluating the curve-fitting method.

     

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