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Efficient Gibbs Sampler for Bayesian Analysis of a Sample Selection Model


  • Yasuhiro Omori

    (Faculty of Economics, University of Tokyo)


We consider Bayesian estimation of a sample selection model and propose a highly efficient Gibbs sampler using the additional scale transformation step to speed up the convergence to the posterior distribution. Numerical examples are given to show the efficiency of our proposed sampler.

Suggested Citation

  • Yasuhiro Omori, 2007. "Efficient Gibbs Sampler for Bayesian Analysis of a Sample Selection Model," CIRJE F-Series CIRJE-F-481, CIRJE, Faculty of Economics, University of Tokyo.
  • Handle: RePEc:tky:fseres:2007cf481

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    References listed on IDEAS

    1. Chib, Siddhartha, 2001. "Markov chain Monte Carlo methods: computation and inference," Handbook of Econometrics,in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 57, pages 3569-3649 Elsevier.
    2. McCulloch, Robert E. & Polson, Nicholas G. & Rossi, Peter E., 2000. "A Bayesian analysis of the multinomial probit model with fully identified parameters," Journal of Econometrics, Elsevier, vol. 99(1), pages 173-193, November.
    3. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
    4. Chib, Siddhartha, 2007. "Analysis of treatment response data without the joint distribution of potential outcomes," Journal of Econometrics, Elsevier, vol. 140(2), pages 401-412, October.
    5. Chib, Siddhartha, 1992. "Bayes inference in the Tobit censored regression model," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 79-99.
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    Cited by:

    1. Omori, Yasuhiro & Miyawaki, Koji, 2010. "Tobit model with covariate dependent thresholds," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2736-2752, November.
    2. Eicher, Theo S. & Helfman, Lindy & Lenkoski, Alex, 2012. "Robust FDI determinants: Bayesian Model Averaging in the presence of selection bias," Journal of Macroeconomics, Elsevier, vol. 34(3), pages 637-651.
    3. Alexander Jordan & Alex Lenkoski, 2012. "Tobit Bayesian Model Averaging and the Determinants of Foreign Direct Investment," Papers 1205.2501,
    4. Manuel Wiesenfarth & Thomas Kneib, 2010. "Bayesian geoadditive sample selection models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(3), pages 381-404.
    5. Sögner, Leopold, 2015. "Learning, convergence and economic constraints," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 27-43.

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