摘要
针对抗差估计方法初值与临界值选取不当的问题,提出一种以L1-范估计的平差值作为初值、以改进的丹麦法权函数作为第一步抗差阶段权函数的双步M估计,该方法既具有较强的抗差性,又具有最小二乘的最优性。试验表明,该方法估计结果与无粗差时的LS估计结果基本一致,抗差效果明显优于传统抗差估计方法与其他两步抗差估计。
To deal with the problem of improper selection of initial and critical values in robust estimation methods,an improved two-step M estimation method is proposed,based on the L1 estimation value and modified weight function of the Danish method.The proposed method is not only relatively robust,but also optimizes the least squares.The numerical experiments show that the estimated results of this method are basically consistent with those of LS estimation when there are no gross errors,and the method with conspicuous robust effect is much better than traditional other two-step robust estimation methods.
出处
《大地测量与地球动力学》
CSCD
北大核心
2015年第2期235-238,247,共5页
Journal of Geodesy and Geodynamics
基金
国家自然科学基金(41064001)
广西自然科学基金(2012GXNSFAA053183
2012GXNSFGA060001)
广西空间信息与测绘重点实验室基金(桂科能1207115-07)
广西研究生教育创新计划(YCSZ2013077)
广西"八桂学者"岗位专项
关键词
丹麦法
双步M估计
临界值
均方差
Danish method
two-step M estimation
critical value
mean square error
