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The Objective Function Of Simulation Estimators Near The Boundary Of The Unstable Region Of The Parameter Space

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George Tauchen

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Abstract

The paper examines the role of stability constraints in estimation by dynamic simulation. In particular, it analyzes the behavior of the objective function on either side of the boundary of the stability region of the parameter space. The main finding is that stability constraints may be ignored because the simulation-based objective function contains a built-in penalty to enforce stability. A key caveat, however, is that the dynamic stability of the auxiliary model that defines the moment conditions must be checked and enforced. An attempt to fit via simulation to moments defined by a dynamically unstable auxiliary model can be expected to lead to an ill-behaved objective function. © 2000 by the President and Fellows of Harvard College and the Massachusetts Institute of Technolog

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Article provided by MIT Press in its journal The Review of Economics and Statistics.

Volume (Year): 80 (1998)
Issue (Month): 3 (August)
Pages: 389-398
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Handle: RePEc:tpr:restat:v:80:y:1998:i:3:p:389-398

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  1. Yacine Ait-Sahalia, 1998. "Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-Form Approach," NBER Technical Working Papers 0222, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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