摘要
针对观测数据同时含有粗差和系统误差时粗差难以探测的问题,本文将粗差纳入随机模型,提出了一种基于Score检验统计的粗差探测方法。首先构造半参数模型的惩罚极大似然函数,给出了相应的解的表达式。然后构造Score检验统计量,推导出具体表达式,给出了相应的粗差探测步骤。最后,用一组含有粗差的模拟数据验证了本文算法的有效性。
It is difficult to detect gross errors when there are both gross errors and systematic errors in the observed data.In this paper,the gross errors are included in the stochastic model,and a method of gross errors detection based on Score test statistics is proposed.Firstly,the penalty maximum likelihood function of the semi-parametric model is constructed,and the expression of the corresponding solution is given.Then the Score test statistics are constructed,the concrete expressions are derived,and the corresponding gross error detection steps are given.Finally,a set of simulation data with gross errors are used to verify the effectiveness of the proposed algorithm.
作者
崔太岷
郭党伍
王俊雷
张绍敏
张新建
侯威震
CUI Taimin;GUO Dangwu;WANG Junlei;ZHANG Shaomin;ZHANG Xinjian;HOU Weizheng(Yellow River Conservancy Commission,Hydrological Bureau,Yellow River Hydrological Survey and Mapping Bureau,Zhengzhou450000,China;Department of Surveying and Mapping Engineering,Henan College of Surveying and Mapping,Zhengzhou450000,China)
出处
《测绘通报》
CSCD
北大核心
2019年第S1期195-198,共4页
Bulletin of Surveying and Mapping
关键词
半参数模型
惩罚极大似然估计
粗差探测
SCORE检验
随机模型
semi-parametric model
penalty maximum likelihood estimation
gross error detection
Score test
stochastic model
