1 论文标题 Theory and methods of panel data mdoels with interactive effects 2 作者信息 Bai Jushan and Li Kunpeng 3 出处和链接(比如,NBER working paper No.11000) MPRA Paper No. 43441 http://mpra.ub.uni-muenchen.de/43441/ 4 摘要 This paper considers the maximum likelihood estimation of the panel data models with interactive effects. Motivated in economics and other social sciences, a notable feature of the model is that the explanatory variables are correlated with the unobserved effects. The usual within-group estimator is inconsistent. Existing methods for consistent estimation are either designed for panel data with short time periods or are less efficient. The maximum likelihood estimator has desirable properties and is easy to implement, as illustrated by the Monte Carlo simulations. This paper develops the inferential theory for the maximum likelihood estimator, including consistency, rate of convergence and the limiting distributions. We further extend the model to include time-invariant regressors and common regressors (cross-section invariant). The regression coefficients for the time-invariant regressors are time-varying, and the coefficients for the common regressors are cross-sectionally varying. 5. 方法介绍. 文章提出的模型拓展了通常的固定效应面板模型。传统的面板模型使用的是加性固定效应设定形式,本文考察的乘性设定形式。模型允许解释变量与未观测效应存在任意的相关性。本文的模型也为从模型内部解决解释变量的内生性问题提供了一种新思路。对于内生性问题相对比较严重的实证研究,比如储蓄率和经济增长的关系、金融发展与经济增长的关系等,提供了研究的一个新视角。作者非常欢迎国内的学者使用本文的方法做相关的经验研究。 6. 说明 本文已经发表在Annals of Statistics上。 Bai, Jushan; Li, Kunpeng. Theory and methods of panel data models with interactive effects. The Annals of Statistics 42 (2014), no. 1, 142--170. doi:10.1214/13-AOS1183. |