引用本文: 王新洲. 非线性模型平差中单位权方差的估计[J]. 武汉大学学报 ( 信息科学版), 2000, 25(4): 358-361.
WANG Xinzhou. Estimation of the Unit Weight Variance in Nonlinear Model Adjustment[J]. Geomatics and Information Science of Wuhan University, 2000, 25(4): 358-361.
 Citation: WANG Xinzhou. Estimation of the Unit Weight Variance in Nonlinear Model Adjustment[J]. Geomatics and Information Science of Wuhan University, 2000, 25(4): 358-361.

## Estimation of the Unit Weight Variance in Nonlinear Model Adjustment

• 摘要: 导出了非线性模型平差中单位权方差的严密估计公式,证明了线性模型平差中单位权方差的估计公式是其特例,给出了在实际工作中用近似公式代替严密公式的理论根据。

Abstract: In parameter estimation many models are nonlinear ones.The classical method dealing with these nonlinear models is linear approximation using the approximate value of parameter.Due to the fact that the difference of non-linearity between different nonlinear models, some nonlinear model can be linear approximation and the others can be not has been understand, the theory of parameter estimation for nonlinear model has been studied in many papers.But none studies the estimation of the unit weight variance in parameter estimation for nonlinear model.In parameter estimation for nonlinear model, how to estimate the unit weight variance? This paper specially studies the problem.At first this paper gives the expanded formula expectations, and variance of residuals.Then according to the theoretical relationship of residuals and their expectation and their variance, the formula of the unit weight variance in parameter estimation for nonlinear model is presented.At last we give an example to explain how to use the formula.

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