大坝安全监控统计模型的误差分析及其处理
he error analysis and treatment for statistical models of dam safety monitoring
大坝安全监控对监测数据的分析中,传统的基于最小二乘原理的统计模型由于没有考虑粗差的影响,应用中存在缺陷。为了避免监测资料中粗差的影响,本文基于抗差估计理论,以M估计代替最小二乘估计建立改进的统计模型。实例应用表明,改进后模型在对监测数据分析中能较好的消除粗差影响,取得较好的参数估计效果。
The traditional statistical model is based on the least-squares method, and gross errors are not considered in the method. So there are many disadvantages when it is used in monitor data analysis. To avoid the influence of gross errors, the article builds up an improved statistical model which is based on robust estimation theory, and the M-estimation is used to replace the least squares method in the model. The new model can well eliminate the influence of gross errors and get better parameter estimation results, which is proved by the practical example.
管利平
水利工程基础科学水利枢纽、水工建筑物
统计模型最小二乘估计粗差抗差估计M估计
statistical modelleast-squares estimationgross errorrobust estimationM-estimation
管利平.大坝安全监控统计模型的误差分析及其处理[EB/OL].(2007-06-28)[2025-08-24].http://www.paper.edu.cn/releasepaper/content/200706-578.点此复制
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