抗差估计在粗差探测及平差计算中的应用

The Application of Robust Estimation to the Gross Error Detection and Adjustment Calculation

常规的粗差深测技术,不仅辅助计算工作量大,而且将粗差探测与平差计算分两步进行。本文根据抗差估计原理,通过对观测值附加粗差的办法,制订不同的方案,分别进行抗差估计和LS估计。结果表明,抗差估计不仅能探测到粗差位置及其大小,并且实现了粗差探测和平差计算一步完成的目的,平差成果可靠。

In the conventional methods of detecting the outliers, not oney the amount of the auxiliary calculation is heavy, but adjustment and outlier-detectiot are performed separately. In this paper, according to the robust estimation theory, robust estimation and LS estimation are carried out for different plans by adding outliers to observations. The results show that, robust estimation does not only detect the positions and amounts of gross errors, but also realizes the object of completing the adjustment and outler detection simultaneously, and the adjustment results are reliable.