Accuracy of Simulations for Stochastic Dynamic Models
Manuel S. Santos, Adrian Peralta-Alva
Econometrica · 2005 · Volume 73 · Issue 6
DOI: 10.1111/j.1468-0262.2005.00642.x
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.
Keywords
Stochastic dynamic model, invariant distribution, numerical solution, approximation error, simulated moments, convergence
Enable JavaScript for citation tools and additional paper interactions.