| 一列非线性回归模型的非线性度量 |
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| 引用本文： | 肖兵.一列非线性回归模型的非线性度量[J].湖南文理学院学报(自然科学版),2002,14(4):18-20. |
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| 作者姓名： | 肖兵 |
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| 作者单位： | 常德师范学院数学系 湖南常德415000 |
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| 基金项目： | 常德师范学院科研基金 [JJ0 2 11] |
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| 摘 要： | 考虑一列非线性回归模型 ,利用Bate和Watt的理论得到了其固有曲率和参数效应曲率 ,分析了参数效应曲率的弊端 ,指出其与许多模拟研究结果不吻合 ,利用待估参数与迭代初始值之间的函数关系及其微商运算构造了一种新的非线性度量方法 ,它不再具有参数效应曲率的蔽端 ,并在其它正常情况与Bate和Watt的理论相吻合 ,最后对Fieller -Creasy模型作了较为详细的研究 .
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| 关 键 词： | 一列非线性 固有曲率 参数效应曲率 局部曲率 |
| 文章编号： | 1009-3818(2002)04-0018-03 |
| 修稿时间： | 2002年3月18日 |
A MEASURE OF NON-LINEARITY OF PARTIALLY NON-LIONEAR MODELS |
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| XIAO Bing.A MEASURE OF NON-LINEARITY OF PARTIALLY NON-LIONEAR MODELS[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2002,14(4):18-20. |
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| Authors: | XIAO Bing |
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| Abstract: | For partially nolinear models,the Intrinsic Curvature and Parameter-effects Curvature were obtained by Bates and Watts'theory.And a new curvature about the measure of non-linearity was defined.The method was based on the estimating parameter's derivative of the starting values.The new theory were applied to fielder-Creasy model and a pathological example. |
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| Keywords: | partially nonlinear Intrinsic curvature parameter-effects curvature local curvature |
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