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Estimating and Predicting the General Random Effects Model
Authors:Eugene Kouassi  Alain Constant Kamdem  Mbodja Mougoué  Jean Marcelin Bosson Brou
Affiliation:1. Department of Resource Economics, West Virginia University, Morgantown, WV, USA;2. Department of Statistics, ENSEA, Abidjan, C?te d'Ivoire;3. Department of Finance, Wayne State University, Detroit, MI, USA;4. Department of Economics, University of Cocody, Abidjan, C?te d'Ivoire
Abstract:This paper extends the ‘remarkable property’ of Breusch (Journal of Econometrics 1987; 36 : 383–389) and Baltagi and Li (Journal of Econometrics 1992; 53 : 45–51) to the three‐way random components framework. Indeed, like its one‐way and two‐way counterparts, the three‐way random effects model maximum likelihood estimation can be obtained as an iterated generalized least squares procedure through an appropriate algorithm of monotonic sequences of some variance components ratios, θi (i = 2, 3, 4). More specifically, a search over θiwhile iterating on the regression coefficients estimates β and the other θjwill guard against the possibility of multiple local maxima of the likelihood function. In addition, the derivations of related prediction functions are obtained based on complete as well as incomplete panels. Finally, an application to international trade issues modeling is presented. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:maximum likelihood estimation  three‐way random effects model  iterative GLS  conditions for a single local maximum  prediction functions  complete and incomplete panels  empirical illustration
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