【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。更多还原

【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 Wenchuan earthquake and the results is much closed to focal mechanism solution which show that the model and the algorithm is valid.更多还原