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Bayes条件下非线性模型的参数置信域的曲率表示
引用本文:吴一凡. Bayes条件下非线性模型的参数置信域的曲率表示[J]. 南京师大学报(自然科学版), 2011, 0(2)
作者姓名:吴一凡
作者单位:江苏食品职业技术学院基础教学部;
摘    要:给出了Bayes条件下非线性模型的参数估计,建立了该模型的几何结构,推广了Bates&Wates关于非线性回归模型的几何框架,在此基础上,用几何方法探讨了关于参数与子集参数置信域的曲率表示.

关 键 词:Bayes条件下非线性模型  参数估计  几何结构  置信域  曲率  

Confidence Regions of Parameters in Terms of Curvatures in Nonlinear Models With Bayes Conditions
Wu Yifan. Confidence Regions of Parameters in Terms of Curvatures in Nonlinear Models With Bayes Conditions[J]. Journal of Nanjing Normal University(Natural Science Edition), 2011, 0(2)
Authors:Wu Yifan
Affiliation:Wu Yifan(Department of Basic Courses,Jiangsu Food Science College,Huai'an 223003,China)
Abstract:In this paper,we propose a differential geometric framework for nonlinear models with Bayes conditions.The framework may be regarded as an extension of that presented by Bates & Watts for nonlinear regression models.On this basis,we use this geometric framework to discuss about the confidence regions for parameter and parameter subset in terms of curvature.
Keywords:nonlinear model with Bayes conditions  estimates of parameters  geometric framework  confidence regions  curvature  
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