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平差模型的影响分析
DEVELOPMENT OF INFLUENCE ANALYSIS IN ADJUSTMENT MODEL
【摘要】 概括了平差模型的影响分析的主要成果,研究了带约束的参数平差模型应用随机模型的协方差阵扰动影响的分析问题,建立了^XB(G)与^XB的一些关系式,这里^XB(G)是扰动模型的未知参数向量X的最小二乘估计,^XB是带约束的参数平差模型的X的最小二乘估计。此外还定义了扰动模型的WelschKuh统计量与Cook距离,给出了它们的简单计算式。
【Abstract】 Based on the main results of influence analysis in the adjustment model, the paper studys the influence problem of least squares estimater for the adjustment model under the restriction condition with covariance matrix disturbance, and established the relationships between B(G) and THX] B , where B(G) is the least squares estimater of unknown parameter vector X of the disturbing model, and ^]B is of the adjustment functional model under the restriction condition; then still defined the WelschKuh statistic and Cook distance and obtained their computationally convenient formulae, which can be assessed the disturbing influence.
【Key words】 influence analysisleast squares estimateCook distanceWelschKuh statistic;
- 【文献出处】 中国有色金属学报 ,THE CHINESE JOURNAL OF NONFERROUS METALS , 编辑部邮箱 ,1999年02期
- 【分类号】P207
- 【被引频次】5
- 【下载频次】81