摘要
将抗差估计的思想融入到粗差探测的算法中,设计出对模型误差,特别是粗差具有抵抗能力的粗差探测算法。基于验后方差估计原理导出的选权迭代法即为抗差估计的一种,首先是应用最小二乘法来计算观测值的参数x赞、残差v、协因数阵Qvv及单位权Q赞0的初值,然后再根据残差和有关的参数,按所选择的权函数,计算每个观测值的权,经过迭代计算求得观测值的残差,然后按照统计检验的方法剔除粗差。通过实验证明,基于验后方差估计原理导出的选权迭代具有很强的粗差探测能力。
This article will put the idea of robust estimation into the algorithm of detecting gross errors,in order to design the model errors,especially with the algorithm of resist errors.Robust Estimation contains the weight iteration of variance estimation to eliminate gross errors.First,we calculate the parameters of the observed values,residual errors,co-factor matrix and the initial value of unit weight.Based on residual errors and parameters,we calculate the new weight value for each observation according to the weight function.Through iterative calculation,we may obtain residual errors of the observation,then we use the statistical methods to eliminate gross errors.The experiment proves that it has the good ability of detection of gross errors.
出处
《北京测绘》
2010年第3期7-9,共3页
Beijing Surveying and Mapping
关键词
抗差估计
粗差的探测和剔除
验后方差
统计检验
robust estimation
detection and elimination of gross errors
posterior variance
statistical test
