拟合推估模型方差分量估计的一种新方法  

A NEW VARIANCE COMPONENT ESTIMATION METHOD USED FOR COLLOCATION

作　　者：李伟伟[1] 沈云中[1,2] 

机构地区：[1]同济大学测量与国土信息工程系,上海200092 [2]国家测绘局现代工程测量重点实验室,上海200092

出　　处：《大地测量与地球动力学》2010年第6期57-59,65,共4页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(40674003;40874016)

摘　　要：对于拟合推估模型,通常引入信号的虚拟观测方程,直接使用Helm ert估计公式,计算观测误差与信号的方差因子。基于残差与信号的二次型,导出了观测误差与信号方差因子的估计公式。算例表明,该方法与基于虚拟观测方程的方差分量计算公式估计的结果完全相同,验证了其正确性。For the collocation model,the quasi-observation equation usually is introduced to signals,and then the variance components for both observation errors and signals estimates are computed by use of the Helmert equation.A new formula to estimate the variance components for collocation model is derived based on the quadratic forms of residuals and signals.The numerical example indicates that the new method can get the same results as that based on quasi-observation equation,thus the method is proved to be true.

关 键 词：拟合推估 二次型 HELMERT方差分量估计 方差因子 虚拟观测值 

分 类 号：P207[天文地球—测绘科学与技术]