Calzolari, Giorgio and Panattoni, Lorenzo (1985): Gradient methods in FIML estimation of econometric models. Published in: Developments of control theory for economic analysis, ed. by C.Carraro and D.Sartore No. Dordrecht: Martinus Nijhoff, Kluwer Academic Publishers (1987): pp. 143-153.
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Abstract
Through Monte Carlo experiments, this paper compares the performances of different gradient optimization algorithms, when performing full information maximum likelihood (FIML) estimation of econometric models. Different matrices are used (Hessian, outer products matrix, GLS-type matrix, as well as a mixture of them).
Item Type: | MPRA Paper |
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Original Title: | Gradient methods in FIML estimation of econometric models |
Language: | English |
Keywords: | Hessian matrix; outer products; maximum likelihood; gradient methods; optimization |
Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables |
Item ID: | 24843 |
Depositing User: | Giorgio Calzolari |
Date Deposited: | 12 Sep 2010 09:53 |
Last Modified: | 27 Sep 2019 03:50 |
References: | Amemiya, T. (1977): "The Maximum Likelihood and the Nonlinear Three-Stage Least Squares in the General Nonlinear Simultaneous Equation Model", Econometrica 45, 955-968. Belsley, D. A. (1980): "On the Efficient Computation of the Nonlinear Full Information Maximum-Likelihood Estimator", Journal of Econometrics 14, 203-225. Berndt, E. K., B. H. Hall, R. E. Hall, and J. A. Hausman (1974): "Estimation and Inference in Nonlinear Structural Models", Annals of Economic and Social Measurements 3, 653-665. Calzolari, G. and L. Panattoni (1983): "Hessian and Approximated Hessian Matrices in Maximum Likelihood Estimation: A Monte Carlo Study". Pisa: Centro Scientifico IBM, paper presented at the European Meeting of the Econometric Society, August 29-September 2. Dagenais, M. G. (1978): "The Computation of FIML Estimates as Iterative Generalized Least Squares Estimates in Linear and Nonlinear Simultaneous Equations Models", Econometrica 46, 1351-1362. Dhrymes, P. J. (1970): Econometrics: Statistical Foundations and Applications. New York: Harper & Row. Eisenpress, H. and J. Greenstadt (1966): "The Estimation of Nonlinear Econometric Systems", Econometrica 34, 851-861. Klein. L. R. (1969): "Estimation of Interdependent Systems in Macroeconometrics", Econometrica 37, 171-192. Parke, W. R. (1982): "An Algorithm for FIML and 3SLS Estimation of Large Nonlinear Models", Econometrica 50, 81-95. Pierre, D. A. (1969): Optimization Theory with Applications. New York: John Wiley & Sons. Sitzia, B. and M. Tivegna (1975): "Un modello Aggregato dell'Economia Italiana 1952-1971", in Contributi alla Ricerca Economica No. 4. Roma: Banca d'Italia, 195-223. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/24843 |