摘要
当法方程的系数矩阵呈病态时,平差参数的统计性质就要变坏。为改善最小二乘估计,本文介绍岭估计和压缩估计,在一定条件下,岭估计和压缩估计的均方误差要小于最小二乘估计的均方误差。本文提出了各种求岭系数和压缩系数的方法,并对它们的使用提出了一些意见。
If the coefficient matrix of the normal equation is ill-conditioned, the statistical cha-racter of adjustment parameter will become poor. To improve on the least squaresestimate, the ridge estimation and the stein estimation are proposed in this paper. Undercertain conditions, the mean square error of the ridge estimation and the stein estimationis smaller than the mean square error of the least square estimation. Different kinds ofmethods to obtain ridge coefficients and stein coefficients are introduced and somesuggestions on their use are given in this paper.
出处
《武汉测绘科技大学学报》
CSCD
1989年第3期46-58,共13页
Geomatics and Information Science of Wuhan University
关键词
平差参数
岭估计
压缩估计
ridge estimation
mean square error
canonical parameter
