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LM Test of Neglected Correlated Random Effects and Its Application
Authors:Jinyong Hahn  Hyungsik Roger Moon  Connan Snider
Institution:1. Department of Economics, UCLA, 8283 Bunche Hall, Mail Stop: 147703, Los Angeles, CA 90095 (hahn@econ.ucla.edu);2. Department of Economics and USC Dornsife INET, KAP 300, USC, Los Angeles, CA 90089, and School of Economics, Yonsei University, Seoul, Korea (moonr@usc.edu);3. Department of Economics, UCLA, 283 Bunche Hall, Mail Stop: 147703, Los Angeles, CA 90095 (snider@econ.ucla.edu)
Abstract:This article aims at achieving two distinct goals. The first is to extend the existing LM test of overdispersion to the situation where the alternative hypothesis is characterized by the correlated random effects model. We obtain a result that the test against the random effects model has a certain max-min type optimality property. We will call such a test the LM test of overdispersion. The second goal of the article is to draw a connection between panel data analysis and the analysis of multiplicity of equilibrium in games. Because such multiplicity can be viewed as a particular form of neglected heterogeneity, we propose an intuitive specification test for a class of two-step game estimators.
Keywords:Correlated random effects  LM test of overdispersion  Multiplicity of equilibrium
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