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Simulation Based Inference in Models with Heterogeneity

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  • Christian Gouriéroux
  • Alain Monfort

Abstract

In this paper we discuss the usefulness, for models with heterogeneity, of simulation techniques in inference procedures, like maximum likelihood method, generalized moments method or pseudo maximum likelihood methods. These procedures are studied from the point of view of consistency, asymptotic normality, convergence rates and possible asymptotic bias. We carefully distinguish the case where the simulations are different for all the observations from the case where they are identical.

Suggested Citation

  • Christian Gouriéroux & Alain Monfort, 1991. "Simulation Based Inference in Models with Heterogeneity," Annals of Economics and Statistics, GENES, issue 20-21, pages 69-107.
    • Handle: RePEc:adr:anecst:y:1991:i:20-21:p:69-107
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    Cited by:

    1. Thiel, Hendrik & Thomsen, Stephan L., 2013. "Noncognitive skills in economics: Models, measurement, and empirical evidence," Research in Economics, Elsevier, vol. 67(2), pages 189-214.
    2. Christine Amsler & Artem Prokhorov & Peter Schmidt, 2014. "Using Copulas to Model Time Dependence in Stochastic Frontier Models," Econometric Reviews, Taylor & Francis Journals, vol. 33(5-6), pages 497-522, August.
    3. Daniel Ackerberg, 2009. "A new use of importance sampling to reduce computational burden in simulation estimation," Quantitative Marketing and Economics (QME), Springer, vol. 7(4), pages 343-376, December.
    4. repec:hal:journl:peer-00732533 is not listed on IDEAS
    5. Müller, Tobias & Boes, Stefan, 2016. "Disability Insurance Benefits and Labor Supply Choices: Evidence from a Discontinuity in Benefit Awards," MPRA Paper 70957, University Library of Munich, Germany.
    6. Emmanuel Duguet & Claire Lelarge, 2012. "Does Patenting Increase the Private Incentives to Innovate? A Microeconometric Analysis," Annals of Economics and Statistics, GENES, issue 107-108, pages 201-238.
    7. Jörgen Hellström, 2006. "A bivariate count data model for household tourism demand," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(2), pages 213-226, March.
    8. Erik Meijer & Jan Rouwendal, 2006. "Measuring welfare effects in models with random coefficients," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(2), pages 227-244, March.
    9. Calzolari, Giorgio, 1992. "Stima delle equazioni simultanee non-lineari: una rassegna [Estimation of nonlinear simultaneous equations: a survey]," MPRA Paper 24123, University Library of Munich, Germany, revised 1992.
    10. João Nicolau, 2002. "A new technique for simulating the likelihood of stochastic differential equations," Econometrics Journal, Royal Economic Society, vol. 5(1), pages 91-103, June.
    11. Calzolari, Giorgio & Magazzini, Laura & Mealli, Fabrizia, 2001. "Simulation-based estimation of Tobit model with random effects," MPRA Paper 22985, University Library of Munich, Germany, revised 2001.
    12. Concordet, Didier & Nunez, Olivier G., 2002. "A simulated pseudo-maximum likelihood estimator for nonlinear mixed models," Computational Statistics & Data Analysis, Elsevier, vol. 39(2), pages 187-201, April.
    13. Bolduc, Denis & Kaci, Mustapha, 1993. "Estimation des modèles probit polytomiques : un survol des techniques," L'Actualité Economique, Société Canadienne de Science Economique, vol. 69(3), pages 161-191, septembre.
    14. Mauricio Sarrias, 2020. "Random Parameters and Spatial Heterogeneity using Rchoice in R," REGION, European Regional Science Association, vol. 7, pages 1-19.
    15. Arthur Van Soest & Hana Vonkova, 2014. "How Sensitive Are Retirement Decisions To Financial Incentives? A Stated Preference Analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(2), pages 246-264, March.
    16. Tobias Müller & Stefan Boes, 2020. "Disability insurance benefits and labor supply decisions: evidence from a discontinuity in benefit awards," Empirical Economics, Springer, vol. 58(5), pages 2513-2544, May.
    17. Tadao Hoshino, 2011. "Estimation and Analysis of Preference Heterogeneity in Residential Choice Behaviour," Urban Studies, Urban Studies Journal Limited, vol. 48(2), pages 363-382, February.
    18. Núñez, Olivier, 1998. "Asymptotic properties for a simulated pseudo maximum likelihood estimator," DES - Working Papers. Statistics and Econometrics. WS 6266, Universidad Carlos III de Madrid. Departamento de Estadística.
    19. Blazsek, Szabolcs, 2012. "Patents, secret innovations and firm's rate of return : differential effects of the innovation leader," UC3M Working papers. Economics we1202, Universidad Carlos III de Madrid. Departamento de Economía.
    20. Heinz König & Michael Lechner, 1994. "Some Recent Developments in Microeconometrics - A Survey," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 130(III), pages 299-331, September.

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