平差模型的影响分析  

DEVELOPMENT OF INFLUENCE ANALYSIS IN ADJUSTMENT MODEL

作　　者：王志忠[1] 朱建军[1] 

机构地区：[1]中南工业大学资源环境与建筑工程学院

出　　处：《中国有色金属学报》1999年第2期418-424,共7页The Chinese Journal of Nonferrous Metals

基　　金：国家自然科学基金

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ＷｅｌｓｃｈＫｕｈ统计量与Ｃｏｏｋ距离，给出了它们的简单计算式。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.

关 键 词：影响分析 最小二乘估计 COOK距离 平差模型 测量 

分 类 号：P207[天文地球—测绘科学与技术]