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空间计量模型选择及其模拟分析

陶长琪 杨海文   

  • 出版日期:2014-08-15 发布日期:2014-08-14

Spatial Econometric Model Selection and its Simulation Analysis

Tao Changqi & Yang Haiwen   

  • Online:2014-08-15 Published:2014-08-14

摘要: 空间计量模型的选择是空间计量建模的一个重要组成部分,也是空间计量模型实证分析的关键步骤。本文对空间计量模型选择中的Moran指数检验、LM检验、似然函数、三大信息准则、贝叶斯后验概率、马尔可夫链蒙特卡罗方法做了详细的理论分析。并在此基础之上,通过Matlab编程进行模拟分析,结果表明:在扩充的空间计量模型族中进行模型选择时,基于OLS残差的Moran指数与LM检验均存在较大的局限性,对数似然值最大原则缺少区分度,LM检验只针对SEM和SAR模型的区分有效,信息准则对大多数模型有效,但是也会出现误选。而当给出恰当的M-H算法时,充分利用了似然函数和先验信息的MCMC方法,具有更高的检验效度,特别是在较大的样本条件下得到了完全准确的判断,且对不同阶空间邻接矩阵的空间计量模型的选择也非常有效。

关键词: 空间计量模型, 模型选择, MCMC, M-H抽样

Abstract: Spatial econometric model selection is an important part of the spatial econometric modeling,is also a key step in spatial econometric model empirical analysis. We have made a detailed theoretical analysis on Moran index test, LM test, likelihood function, three information criteria, Bayesian posterior probability, Markov chain Monte Carlo method of spatial econometric model selection analysis. On this basis, we make simulation analysis by using Matlab programming. The results show that, in the model clusters of extended spatial econometrics, Moran index and LM test based on OLS residuals are some limitations, the principle of maximum log likelihood values is lack of differentiation, LM test is effective to only distinguish between SEM and SAR model. The information criterion is effective on most models, but also appear wrong choice. When M-H algorithm given appropriate, MCMC method has higher test validity because of making full use of both the likelihood function and the prior information, and has completely accurate judgment in larger samples. Moreover, MCMC method is also very effective for different order spatial adjacency matrix of the spatial econometric model selection.

Key words: Spatial Econometric Model, Model Selection, MCMC, M-H Sampling