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Accuracy of Simulations for Stochastic Dynamic Models

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  • Manuel S. Santos
  • Adrian Peralta-Alva

Abstract

This paper is concerned with accuracy properties of simulations of approximate solutions for stochastic dynamic models. Our analysis rests upon a continuity property of invariant distributions and a generalized law of large numbers. We then show that the statistics generated by any sufficiently good numerical approximation are arbitrarily close to the set of expected values of the model's invariant distributions. Also, under a contractivity condition on the dynamics, we establish error bounds. These results are of further interest for the comparative study of stationary solutions and the estimation of structural dynamic models. Copyright The Econometric Society 2005.

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Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 666156000000000264.

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Date of creation: 23 Sep 2003
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Handle: RePEc:cla:levrem:666156000000000264

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  9. Manuel S. Santos, 2003. "Estimation by Simulation of Monotone Dynamical Systems," Levine's Working Paper Archive 506439000000000229, David K. Levine.
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  16. Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, Elsevier, vol. 4(3), pages 479-513, June.
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