Bayes条件下非线性模型的参数置信域的曲率表示

Confidence Regions of Parameters in Terms of Curvatures in Nonlinear Models With Bayes Conditions

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.

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.