# [1]韦博成.非线性回归模型残差的近似分析[J].东南大学学报(自然科学版),1984,14(3):115-120.[doi:10.3969/j.issn.1001-0505.1984.03.012] 　Wei Bocheng.An Approximate Residual Analysis of the Nonlinear Regression Model[J].Journal of Southeast University (Natural Science Edition),1984,14(3):115-120.[doi:10.3969/j.issn.1001-0505.1984.03.012] 点击复制 非线性回归模型残差的近似分析() 分享到： var jiathis_config = { data_track_clickback: true };

14

1984年第3期

115-120

1984-09-20

## 文章信息/Info

Title:
An Approximate Residual Analysis of the Nonlinear Regression Model

Author(s):
Wei Bocheng?
Department of Mathmatics and Mechanics

+
DOI:
10.3969/j.issn.1001-0505.1984.03.012

Abstract:
Several approximate formulas are given for residual analysis of the least square estimator in nonlinear regression model. We investigate the expectation, variance and some releted quantities. All the results are connected with the curvature of the model. If the model is linear, then the curvature vanishes, our formulas are agree with the theory of the linear model, as expected. The formulas are preferable since they are derived from the quadratic approximation and related to the curvature of the model. An example is given to explain the results.

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