Calzolari, Giorgio and Panattoni, Lorenzo (1983): Hessian and approximated Hessian matrices in maximum likelihood estimation: a Monte Carlo study.

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Abstract
Full information maximum likelihood estimation of econometric models, linear and nonlinear in variables, is performed by means of two gradient algorithms, using either the Hessian matrix or a computationally simpler approximation. In the first part of the paper, the behavior of the two methods in getting the optimum is investigated with Monte Carlo experimentation on some models of small and medium size. In the second part of the paper, the behavior of the two matrices in producing estimates of the asymptotic covariance matrix of coefficients is analyzed and, again. experimented with Monte Carlo on the same models. Some systematic differences are evidenced.
Item Type:  MPRA Paper 

Original Title:  Hessian and approximated Hessian matrices in maximum likelihood estimation: a Monte Carlo study 
Language:  English 
Keywords:  Hessian matrix, full information maximum likelihood, Newton like methods, gradient methods, covariance matrix estimators 
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:  28847 
Depositing User:  Giorgio Calzolari 
Date Deposited:  28 Feb 2011 15:31 
Last Modified:  22 Aug 2016 13:18 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/28847 