【摘要】 首先分析真误差与残差的关系 ,并以此关系为基础 ,提出一种新的、有特色的多维粗差探测与定位方法 .该法采用传统的最小二乘平差 ,对最小二乘平差的残差进行统计检验 .如果存在粗差 ,则可以通过新的估计公式对粗差及未知参数进行估计 .该法可以准确地进行多维粗差的定位和估值 ,而且能严密评定估值的精度 .最后 ,通过一个算例加以说明 .更多还原

【Abstract】 Based on the relation between true error and residual error, the author puts forward a characteristic method for detecting and locating multidimensional gross errors. The method adopts at first the traditional least square error, and then carries out statistical check on residual error of least square error. If there exists gross error, the gross error and unknown parameter can be estimated by new formule of estimation. By this method, the multidimensional gross error can be accurately located and estimated, and the accuracy of estimation can be closely evaluated. It is illustrated by an example of reckoning.更多还原