选权拟合与拟准检定

Fitting method by selection of the parameter weights and quasi-accurate detection of gross error

本文指出了拟准检定法和LEGE法的本质区别,分析了选权拟合法和拟准检定法各自的数学模型,发现拟准检定法是选权拟合法的一种特殊形式,于是,以选权拟合法原理为理论基础,推导了拟准检定真误差估值的计算公式。与以往的计算公式不同,其中的权使用了最小二乘改正数的权。但是由于可靠性矩阵是秩亏矩阵,改正数的权无法计算,所以直接采用观测值的权,此时,得到的公式才与以往的公式相同。

The essential difference between the quasi-accurate detection of gross error and LEGE was proposed in this paper.By analysis of mathematical models of the Fitting Method by Selection of the Parameter Weights and the quasi-accurate detection of gross error,it could be found that the quasi-accurate detection of gross is a special form of the Fitting Method by Selection of the Parameter Weight.The estimation formula of the real errors in the method of quasi-accurate detection in which the least square correction weight is used and which is different from the previous formula,could be derived based on the principle of the Fitting Method by Selection of the Parameter Weight.But the reliability matrix is rank deficient and the correction weight can not be calculated,so the observation weights have to be adopted directly.At last,the formula similar with the previous one was obtained.