利用选择权迭代法进行粗差定位

Gross Error Location by means of the Iteration Method with variable Weights

摘要: 选择权迭代法是一种可望用于粗差定位的有效方法。本文回顾该方法中几种主要的不同权函数后,从最小二乘法验后方差估计原理推导出选择权迭代法进行粗差定位的权函数的和统计检验量。通过对不同形式权函数的对比试验证实了所提方法之优越性。将其引入丹麦法中亦获得同样好的结果。

Abstract: The iteration method with variable weights would be an effective method for the location of gross errors in the adjustment.After a general view of several different and available weight functions of this method a new weight function and a corresponding test quantity are developed based on the a posteriori variance estimation of the least squares.The advantages of the suggested method are justified through a comparative investigation of the different weight functions.The introduction of this weight function into danish method can also produce a good result.