简单回顾观测值粗差探测、识别及控制的基本方法,基于最小二乘推估理论给出卫星重力时间序列数据的粗差探测方法,其基本思路是利用除被探测点以外的观测数据对该点进行推估,并与其真实观测值进行比较,依照某种统计量和一定的准则进行粗差判别。基于上述思想,构造服从t-分布检验统计量,提出了移动开窗检验法,给出一种简单的时间相关函数、窗口宽度的确定方法以及详细的循环检验步骤。利用模拟的GOCE卫星重力梯度数据验证了新方法的有效性。
After a brief review of the methods of detecting,identifying and controlling outliers,a new outlier snooping method is developed for the time series of satellite gravity data based on least square collocation.The main idea is to predict observable of the possible outlying point from neighboring data and to compare the prediction error with its estimated variance,and then perform outlier snooping according to a certain test statistic and a given significance level.Based on the above idea,the test statistic oft -distribution is constructed and a new statistical test of moving window is proposed. A simple correlation function, the determination of window width anda detail itera- tion testing procedure are presented. A numerical example from the simulated Tzz of GOCE satellite is performed. The results show that the new testing method can efficiently detect and identify the outliers.