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基于共轭分布的洪水过程动态估值

廖伙木1,董增川1,员汝安2   

  1. 1.河海大学水资源环境学院水文水资源及水利工程科学国家重点实验室,江苏南京210098;2. 山东大学土建与水利学院,山东济南250061
  • 收稿日期:2005-04-20 修回日期:1900-01-01 出版日期:2006-04-24 发布日期:2006-04-24
  • 通讯作者: 廖伙木

Dynamic estimation of flood process based on conjugate distribution

LIAO Huo-mu1,DONG Zeng-chuan1,YUN Ru-an2   

  1. 1.State Key Laboratory of Hydrology on Water Resources and Hydraulic Engineering, School of Water Resouces and Environment,Hehai University,Nanjing 210098,China; 2 School of Civil Engineering,Shandong University,Jinan 250061,China
  • Received:2005-04-20 Revised:1900-01-01 Online:2006-04-24 Published:2006-04-24
  • Contact: LIAO Huo-mu

摘要: 将洪水过程的实际流量与原始预报流量的比值Rt视为随机变量,并选定其概率分布为正态分布,把其中所含参数均值与方差视为随机变量,按贝叶斯法则中的共轭分布法确定均值与方差的先验与后验分布,由后验分布可推得比值Rt的概率分布函数.将各预报时刻流量实时观测值与原始预报值的比值Rt作为抽样,据样本值对均值与方差的后验分布进行滚动更新,进而得到后续各时刻实际流量的概率分布及分位数的动态修正与估值.

关键词: 共轭分布, 洪水流量, 动态估值

Abstract: The ratio of the real flood inflow with its primitive predictive inflow is regarded as random variate which conforms to normal probability distribution. Its mean and variance are also treated as random variables. Following Bayesian conjugate distribution method, the prior and posterior probability distributions functions of the mean and variance are inferred. The actual flux's probability distribution function can be deduced in terms of the posterior distribution functions. The ratio of the actual inflow's observation value with the primitive predictive value is regarded as a sample. In terms of the ratio's value, the posterior distributions of the mean and variance are dynamically regulated. Furthermore the actual inflow's probability distribution and quantile can be realtimely corrected and estimated for times after current time.

Key words: flood flux, dynamical estimation , conjugate distribution

中图分类号: 

  • TV213
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