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Exact Sampling from the Stationary Distribution of Entry-Exit Models


  • Takashi Kamihigashi

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

  • John Stachurski

    (Research School of Economics, Australian National University, Australia)


In equilibrium models of firm dynamics, the stationary equilibrium distribution of firms summarizes the predictions of the model for a given set of primitives. Focusing on Hopenhayn's seminal model of firm dynamics with entry and exit (Econometrica, 60:5, 1992, p. 1127–1150), we provide an algorithm that samples exactly from the stationary distribution for any specified exit threshold. The algorithm is able to rapidly generate large numbers of exact and independent draws from this distribution, and can therefore be used to obtain unbiased estimates and confidence intervals for moments and distributions of interest.

Suggested Citation

  • 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.
  • Handle: RePEc:kob:dpaper:dp2013-03

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    References listed on IDEAS

    1. Gian Luca Clementi & Dino Palazzo, 2010. "Entry, Exit, Firm Dynamics, and Aggregate Fluctuations," Working Paper series 27_10, Rimini Centre for Economic Analysis.
    2. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    3. Nishimura, Kazuo & Stachurski, John, 2010. "Perfect simulation of stationary equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 577-584, April.
    4. Hopenhayn, Hugo & Rogerson, Richard, 1993. "Job Turnover and Policy Evaluation: A General Equilibrium Analysis," Journal of Political Economy, University of Chicago Press, vol. 101(5), pages 915-938, October.
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    More about this item


    Simulation; Stationary equilibrium; Firm dynamics;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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