Theory and methods of panel data models with interactive effects

Jushan Bai and Kunpeng Li ()

MPRA Paper from University Library of Munich, Germany

Abstract: 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.

Keywords: factor error structure; factors; factor loadings; maximum likelihood; principal components; within-group estimator; simultaneous equations (search for similar items in EconPapers)
JEL-codes: C3 C33 (search for similar items in EconPapers)
Date: 2010-12, Revised 2012-12
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:43441

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