| Bayes条件下非线性模型参数估计的渐近展开 |
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| 引用本文： | 吴一凡.Bayes条件下非线性模型参数估计的渐近展开[J].淮阴师范学院学报(自然科学版),2012(3):226-229. |
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| 作者姓名： | 吴一凡 |
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| 作者单位： | 江苏食品职业技术学院基础教学部 |
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| 摘 要： | 给出了在Bayes条件下非线性回归模型的参数估计,建立了非线性回归模型的几何结构,推广了Bates和Wates关于非线性回归模型的几何框架,用几何方法求出参数估计的随机展开,并讨论了若干与统计曲率相关的渐近性质,给出了该模型的极大似然估计的方差和偏差的近似表示.
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| 关 键 词： | Bayes条件 非线性模型 几何结构 渐近展开 |
Asymptotic Extension of Nonlinear Models with Bayesian Conditions |
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| WU Yi-fan.Asymptotic Extension of Nonlinear Models with Bayesian Conditions[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2012(3):226-229. |
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| Authors: | WU Yi-fan |
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| Institution: | WU Yi-fan(Jiangsu Food Science College,Huaian Jiangsu 223003,China) |
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| Abstract: | In this paper,we propose a differential geometric framework for nonlinear model under Bayesian conditions.Our framework may be regarded as an extension of that presented by Bates & watts for nonlinear regression models.We use this geometric framework to discuss the parameter stochastic expansion by using the curvature in the nonlinear model.Some statistical properties of parameter are studied from the geometric point of view. |
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| Keywords: | bayesian condition nonlinear model geometric framework asymptotic extension |
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