(中南工業(yè)大學資源環(huán)境與建筑工程學院，長沙 410083)
摘 要: 概括了平差模型的影響分析的主要成果，研究了帶約束的參數平差模型應用隨機模型的協(xié)方差陣擾動影響的分析問題，建立了X^B (G)與X^B的一些關系式，這里X^ B (G)是擾動模型的未知參數向量X的最小二乘估計，X^B 是帶約束的參數平差模型的 X 的最小二乘估計。此外還定義了擾動模型的Welsch-Kuh統(tǒng)計量與Cook距離，給出了它們的簡單計算式。
關鍵字: 影響分析 最小二乘估計 Cook距離 Welsch-Kuh統(tǒng)計量
（College of Resources, Environment and Civil Engineering,
Central South University of Technology, Changsha 410083, P. R. China）
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.
Key words: influence analysis least squares estimate Cook distance Welsch-Kuh statistic
