摘要
粗差对数学期望值计算有偏态影响,并会传递到残差序列中,仅用3σ准则探测粗差,极易产生"去真"或"纳伪"的错误。通过分析观测序列极差、观测值改正数极差与粗差之间的关系,推导了粗差的判断条件,构造双极差判断矩阵进行粗差探测,同时比较了小样本和大样本序列探测的不同之处,通过实例分析,验证了该方法是一种有效的探测手段。
Gross errors make skewness influence on mathematical expectation of series, which will transfer to the residual sequence. The gross errors detection only with 3cr criterion may make a mistake of discarding the truth or accepting the wrong. The relationship between the poor of observations or error correction and gross errors was analyzed and the formulae to judge gross errors were deduced. The judgment condition matrix based on bio-poor for detecting gross errors was constructed and the difference of small sample with large sample in detecting gross errors was compared. This method is verified effective through example analyses.
出处
《大地测量与地球动力学》
CSCD
北大核心
2012年第1期80-83,共4页
Journal of Geodesy and Geodynamics
基金
江西省教育厅科技项目(GJJ11473)
国家青年科学基金(41104009)
关键词
粗差分布
粗差探测
双极差
3σ准则
判断矩阵
gross errors distribution
gross error detection
bio-poor
3cr criterion
judgment matrix
