非线性再生散度随机效应模型参数置信域的曲率表示

该文基于Laplace逼近建立了非线性再生散度随机效应模型在Euclid空间中的几何结构, 并在此基础上研究了此模型参数和子集参数的置信域, 进一步推广和发展了 Hamilton, Watts 和 Bates^1]关于正态非线性回归模型, Wei^2,3]关于嵌入模型和指数族非线性模型, Zhu, Tang 和 Wei^4]关于半参数非线性模型,唐年胜、韦博成和王学仁^5]关于非线性再生散度模型, Tang 和 Wang^6]关于拟似然非线性模型等的结果.

Confidence Regions in Nonlinear Reproductive Dispersion Mixed Models in Terms of Curvatures

A modified geometric framework is proposed for nonlinear reproductive dispersion mixed models (NR,DMMs) based on the Laplace approximate marginal likelihood.Three im- proved approximate confidence regions of parameters and subset paramters are investigated for NRDMMs based on the proposed curvatures.The results for nonlinear regression models and exponential family nonlinear models are extended to the complicated nonlinear reproductive dispersion mixed models including exponential family nonlinear models and nonlinear repro- ductive dispersion models as their special cases.