平差模型的影响分析

来源期刊：中国有色金属学报1999年第2期

论文作者：王志忠 朱建军

文章页码：418 - 424

关键词：影响分析 最小二乘估计 Cook距离 Welsch-Kuh统计量

Key words：influence analysis ; least squares estimate ; Cook distance ; Welsch-Kuh statistic

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X^_B (G)与X^_B的一些关系式，这里X^ _B (G)是扰动模型的未知参数向量X的最小二乘估计，X^_B 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Welsch-Kuh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 X^_B (G) and X^_B , where X^_B (G) is the least squares estimater of unknown parameter vector X of the disturbing model, and X ^_B is of the adjustment functional model under the restriction condition; then still defined the Welsch-Kuh statistic and Cook distance and obtained their computationally convenient formulae, which can be assessed the disturbing influence.