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Perfect simulation of stationary equilibria

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  • Nishimura, Kazuo
  • Stachurski, John

Abstract

Using a variation of the coupling from the past technique, this paper develops algorithms which generate independent observations from the stationary distributions of various dynamic economic models. These variates can be used for calibration, calculation of steady state phenomena, and simulation-based estimation. As an application, we demonstrate how to generate exact samples from the stationary distribution of an incomplete markets model routinely calibrated by macroeconomists. Our implementation generates 100,000 independent draws from the stationary distribution in less than 3Â s.

Suggested Citation

  • Nishimura, Kazuo & Stachurski, John, 2010. "Perfect simulation of stationary equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 577-584, April.
  • Handle: RePEc:eee:dyncon:v:34:y:2010:i:4:p:577-584
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    References listed on IDEAS

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    1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    2. Lee, Bong-Soo & Ingram, Beth Fisher, 1991. "Simulation estimation of time-series models," Journal of Econometrics, Elsevier, vol. 47(2-3), pages 197-205, February.
    3. Duffie, Darrell & Singleton, Kenneth J, 1993. "Simulated Moments Estimation of Markov Models of Asset Prices," Econometrica, Econometric Society, vol. 61(4), pages 929-952, July.
    4. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    5. Manuel S. Santos & Adrian Peralta-Alva, 2005. "Accuracy of Simulations for Stochastic Dynamic Models," Econometrica, Econometric Society, vol. 73(6), pages 1939-1976, November.
    6. John Stachurski, 2008. "Continuous State Dynamic Programming via Nonexpansive Approximation," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 141-160, March.
    7. Jesús Fernández-Villaverde & Juan F. Rubio-Ramírez & Manuel S. Santos, 2006. "Convergence Properties of the Likelihood of Computed Dynamic Models," Econometrica, Econometric Society, vol. 74(1), pages 93-119, January.
    8. Kazuo Nishimura & John Stachurski, 2012. "Stability of Stochastic Optimal Growth Models: A New Approach," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 289-307, Springer.
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    Cited by:

    1. Takashi Kamihigashi & John Stachurski, 2013. "Exact Sampling for Industry Dynamics and Other Regenerative Processes," Discussion Paper Series DP2013-37, Research Institute for Economics & Business Administration, Kobe University.
    2. Kamihigashi, Takashi & Stachurski, John, 2015. "Perfect simulation for models of industry dynamics," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 9-14.
    3. Takashi Kamihigashi & John Stachurski, 2013. "Exact Sampling from the Stationary Distribution of Entry-Exit Models," Discussion Paper Series DP2013-03, Research Institute for Economics & Business Administration, Kobe University.
    4. Takashi Kamihigashi & John Stachurski, 2012. "Exact Draws from the Stationary Distribution of Entry-Exit Models," Discussion Paper Series DP2012-26, Research Institute for Economics & Business Administration, Kobe University.

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