非线性再生散度模型的Bayes估计

The Bayes Estimation of Nonlinear Reproductive Dispersion Model

非线性再生散度模型是指数族非线性模型、广义线性模型和正态非线性回归模型的推广和发展,唐年胜等人研究了该模型参数的极大似然估计及其统计诊断。本文基于Gibbs抽样和MH抽样算法讨论非线性再生散度模型参数的Bayes估计。模拟研究和实例分析被用来说明该方法的有效性。

Nonlinear reproductive dispersion model is an extension and development of exponential family nonlinear models, generalized linear models and nonlinear regression models. Tang et al. studied the maximum likelihood estimators and diagnostics. Based on Gibbs sampler and Metroplis - Hastings sampler, this paper proposes a Bayes estimation method in nonlinear reproductive dispersion model. Simulation study and real data analysis are used to illustrate the proposed methodologies.