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监测人网站团队近期发表的论文:基于抗差最小二乘法的大坝安全监测统计模型

2011-07-01 12:39
基于抗差最小二乘法的大坝安全监测统计模型
http://jianceren.cn/dam/lunwen/2011/0701/6995.html  
此论文为监测人网站团队近期发表的论文(在《人民长江》中文核心期刊上),欢迎大家查阅和交流。

基于抗差最小二乘法的大坝安全监测统计模型
摘要:传统监测资料分析是假定监测数据服从正态分布的前提下,采用经典最小二乘法进行建模分析的,但最小二乘法善于吸收异常值,不具备抗差能力。本文提出应用抗差最小二乘法建模,并对其计算方法以及相关参数进行了系统的研究,同时通过实例证明,抗差最小二乘法计算模型优于最小二乘法计算模型,能够降权使用可疑值,淘汰异常值,具有较强的抗差能力,预测精度高。
关键词:抗差最小二乘法;权函数;统计模型;预测精度
Dam Safety Monitoring Statistical Model
Based on Robust Estimation
Abstract:The conventional monitoring data which obeys nomal distribution is analysized by the least square method,but the least square method which is good at absorbing abnormal value is not robust. This paper proposes the robust estimation method,and researches the calculating method and relevant parameter.Example proves that the model established by the robust estimation method is superior to model established by the least square method,and the robust estimation method which can drop the weight of suspicious value and eliminate abnormal value is verified with strong robust and higher prediction precision.
Key words: robust estimation, weight function, statistical model, prediction precision

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