| 线性Errors-in-Variables模型在确定汶川地震主震断层面中的应用 |
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| 引用本文： | 王福昌,曹慧荣,万永革.线性Errors-in-Variables模型在确定汶川地震主震断层面中的应用[J].数理统计与管理,2010,29(3). |
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| 作者姓名： | 王福昌 曹慧荣 万永革 |
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| 作者单位： | 1. 中国地震局防灾科技学院,河北,三河,065201
2. 廊坊师范学院数信学院,河北,廊坊,065000 |
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| 基金项目： | 防灾减灾青年基金(2008A05); 地震动力学国家重点实验室开放基金(LED0706)资助 |
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| 摘 要： | 首先介绍线性Errors-in-Variables模型,给出求解回归系数的奇异值分解(SVD)算法和MATLAB源代码,其次指出在模型中所有变量均具有不可忽略的误差时,全最小二乘法得到回归系数估计更接近于模型中的真实系数,并通过理论分析和计算机仿真说明了这一结果,最后将线性模型和算法用于确定汶川大地震主震断层面,取得了与震源机制解一致的结果,说明了模型和算法的有效性。
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| 关 键 词： | 线性Errors-in-Variables模型 奇异值分解 断层面参数 汶川余震 |
Application of Linear Errors-in-Variables Model for Determination Main Earthquake's Fault Parameters of Wenchuan Earthquake |
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| WANG Fu-chang,CAO Hui-rong,WAN Yong-ge.Application of Linear Errors-in-Variables Model for Determination Main Earthquake's Fault Parameters of Wenchuan Earthquake[J].Application of Statistics and Management,2010,29(3). |
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| Authors: | WANG Fu-chang CAO Hui-rong WAN Yong-ge |
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| Institution: | WANG Fu-chang~1 CAO Hui-rong~2 WAN Yong-ge~1 (1.Institute of Disaster Prevention Science , Technology of CEA,Hebei Sanhe 065201,China,2. College of Mathematics , Information Science,Langfang Normal College,Hebei Langfang 065000,China) |
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| Abstract: | At first,the linear errors-in-variables model is introduced,the algorithm of singular value decomposition method and its MATLAB code for parameters estimation of the linear model coefficient is given.Subsequently,the theory analysis,numerical experimentations and figures verified the validity of the linear errors-in-variables model when all the random errors of variables in linear model can't be neglected.At last,the linear errors-in-variables model is employed for determination fault plane parameters of We... |
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| Keywords: | linear errors-in-variables model singular value decomposition fault plane parameters Wenchuan aftersocks |
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