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AR模型的整体最小二乘解算及其应用
引用本文:朱增锋,张鹏杰,王培胜,魏向辉.AR模型的整体最小二乘解算及其应用[J].测绘科学,2013,38(2).
作者姓名:朱增锋  张鹏杰  王培胜  魏向辉
作者单位:1. 中国地质大学长城学院,河北保定,071000
2. 武汉大学测绘学院,武汉,430079
3. 新疆维吾尔自治区喀什市建设局,新疆喀什,844000
摘    要:AR模型在变形监测及其预报中应用广泛,因为系数矩阵和预测值都存在误差,宜采用整体最小二乘法。本文通过一个实例对该方法进行验证,计算结果表明,该方法获得的预测值更加接近实测值,并且比传统的方法更具优势,有较强的理论研究价值和实用价值。

关 键 词:AR模型  变形监测  整体最小二乘  参数

Total least-squares based on AR model and its applications
Abstract:AR model is widely used in deformation monitoring and forecasting,because the coefficient matrix and predictive value both exist errors,the total least-squares should be adopted.In the paper,it used an example to verify this method,and the results showed that the predictive value was much closer to the measured values,and had more advantages than the traditional method.It would have a strong theoretical study and practical value.
Keywords:AR model  deformation monitoring  total least-squares  parameter
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