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影响图在非线性回归异方差检验中的应用(PDF)

《南京林业大学学报(自然科学版)》[ISSN:1000-2006/CN:32-1161/S]

Issue:
2005年04期
Page:
69-72
Column:
研究论文
publishdate:
2005-04-20

Article Info:/Info

Title:
Influence Graph for the Nonlinear Regression with Heteroscedasticity
Article ID:
1000-2006(2005)04-0069-04
Author(s):
XIE Feng-chang1 LI Yong2
1. Department of Mathematics Nanjing Agricultural University, Nanjing 210095, China; 2. Department of Mathematics Southeast University, Nanjing 210096, China
Keywords:
Score test Nonlinear regression models Heteroscedasticity Influence graph Normal curvature
Classification number :
O212
DOI:
10.3969/j.jssn.1000-2006.2005.04.017
Document Code:
A
Abstract:
In ordinary regression analysis, the homoscedasticity of random error is a basic assumption. But the rationality of these assumptions for variance is doubtable. This paper takes the weighted nonlinear regression model as a perturbed version of a homoscedastic regression model and develops the tests for heteroscedasticity based on normal curvature of its influence graph. Based on this fact,the modified score statistic was discussed in detail. Final-[y these new statistics was applied to two concrete numerical examples.

References

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Last Update: 2013-05-20