| 非线性指数族回归模型的参数估计及影响分析 |
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| 引用本文： | 韦博成,马阳明.非线性指数族回归模型的参数估计及影响分析[J].东南大学学报(自然科学版),1992,22(6):39-47. |
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| 作者姓名： | 韦博成 马阳明 |
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| 作者单位： | 东南大学数学力学系，滁州师专 赴东南大学访问学者 |
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| 摘 要： |
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| 关 键 词： | 非线性指数族 回归 参数估计 |
Parametric Estimators and Influence Analysis for Nonlinear Exponential Family Regression Models |
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| Wei Bocheng.Parametric Estimators and Influence Analysis for Nonlinear Exponential Family Regression Models[J].Journal of Southeast University(Natural Science Edition),1992,22(6):39-47. |
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| Authors: | Wei Bocheng |
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| Institution: | Wei Bocheng (Department of Mathematics and Mechanics) Ma yangming (Chuzhou Teachers College) |
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| Abstract: | The paper studies convergence of Gauss-Newton method and modified Gauss-Newton method for estimator of parameters in nonlinear exponential family regression model. The equivalence of the deleted model and the mean shift model in nonlinear exponential regression diagnostics is proved. The influence analysis of data points for nonlinear exponential family regression models is discussed. The research can be regarded as extensions of Jennrich, Gallant, Pino, and Weis' results. |
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| Keywords: | nonlinear exponential family regression Gauss-Newton method influence analysis |
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