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Using Indirect Inference To Solve The Initial-Conditions Problem

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  • Mark Yuying An
  • Ming Liu

Abstract

In this paper, we study the initial-conditions problem, a complication associated with left-censored or interrupted spells in the econometric analysis of labor market transitions. In the presence of unobserved individual-specific heterogeneity, no consistent estimators have been previously constructed. This paper proposes such an estimator using indirect inference (II). The II procedure simulates the structural model and "matches" the simulated data with the actual data via the implementation of an informative auxiliary model. Consistency and asymptotic normality of the II estimator are proved. Monte Carlo experiments as well as a real data set are used to illustrate the small-sample performance of the II estimator. These results show that the II estimator is insensitive to the alternative auxiliary models chosen for the II estimation. © 2000 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology

Suggested Citation

  • Mark Yuying An & Ming Liu, 2000. "Using Indirect Inference To Solve The Initial-Conditions Problem," The Review of Economics and Statistics, MIT Press, vol. 82(4), pages 656-667, November.
    • Handle: RePEc:tpr:restat:v:82:y:2000:i:4:p:656-667
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    Cited by:

    1. Robert M. Sauer & Christopher Taber, 2021. "Understanding women's wage growth using indirect inference with importance sampling," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(4), pages 453-473, June.
    2. Martin Browning & Mette Ejrnæs & Javier Alvarez, 2010. "Modelling Income Processes with Lots of Heterogeneity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(4), pages 1353-1381.
    3. Holmberg, Johan, 2021. "Earnings and Labor Market Dynamics: Indirect Inference Based on Swedish Register Data," Umeå Economic Studies 984, Umeå University, Department of Economics.
    4. Johan Holmberg, 2024. "Earnings, labor market dynamics, and inequality in Sweden," Scandinavian Journal of Economics, Wiley Blackwell, vol. 126(3), pages 561-599, July.
    5. Giorgio Calzolari & F. Di Iorio & G. Fiorentini, 1999. "Indirect Estimation of Just-Identified Models with Control Variates," Econometrics Working Papers Archive quaderno46, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
    6. Golombek, Rolf & Raknerud, Arvid, 2018. "Exit dynamics of start-up firms: Structural estimation using indirect inference," Journal of Econometrics, Elsevier, vol. 205(1), pages 204-225.
    7. Sauer, Robert M. & Taber, Christopher, 2017. "Indirect Inference with Importance Sampling: An Application to Women's Wage Growth," IZA Discussion Papers 11004, IZA Network @ LISER.
    8. Bruins, Marianne & Duffy, James A. & Keane, Michael P. & Smith, Anthony A., 2018. "Generalized indirect inference for discrete choice models," Journal of Econometrics, Elsevier, vol. 205(1), pages 177-203.
    9. Li, Tong, 2010. "Indirect inference in structural econometric models," Journal of Econometrics, Elsevier, vol. 157(1), pages 120-128, July.
    10. Giorgio Calzolari & F. Mealli & C. Rampichini, 2001. "Alternative Simulation-Based Estimators of Logit Models with Random Effects," Econometrics Working Papers Archive quaderno48, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
    11. Mealli, Fabrizia & Rampichini, Carla, 1999. "Estimating binary multilevel models through indirect inference," Computational Statistics & Data Analysis, Elsevier, vol. 29(3), pages 313-324, January.
    12. Anna Gottard & Giorgio Calzolari, 2014. "Alternative estimating procedures for multiple membership logit models with mixed effects: indirect inference and data cloning," Econometrics Working Papers Archive 2014_07, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
    13. Youngwoo Rho & Joel Rodrigue, 2016. "Firm‐Level Investment And Export Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(1), pages 271-304, February.
    14. Akay, Alpaslan, 2007. "Monte Carlo Investigation of the Initial Values Problem in Censored Dynamic Random-Effects Panel Data Models," Working Papers in Economics 278, University of Gothenburg, Department of Economics.
    15. Frazier, David T. & Oka, Tatsushi & Zhu, Dan, 2019. "Indirect inference with a non-smooth criterion function," Journal of Econometrics, Elsevier, vol. 212(2), pages 623-645.

    More about this item

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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