针对线性模型中最小二乘和整体最小二乘方法存在的问题,引进了加权整体最小二乘的方法,并给出了精度估算公式。通过线性模型的实例计算验证,加权整体最小二乘可以得到更加合理的拟合模型,获得更高精度的参数解,具有更小的中误差。
The weighted total least squares method is introduced to solve the problem that least-squares and the total least-squares method exist in the linear model,and the estimation formula of accuracy is given.The results of a linear model indicate that the weighted total least-squares can get more reasonable model and the parameters for more accurate solution,with a smaller in error.