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Efficient Gibbs Sampler for Bayesian Analysis of a Sample Selection Model

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  • Yasuhiro Omori

    (Faculty of Economics, University of Tokyo)

Abstract

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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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2007/2007cf481.pdf
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    References listed on IDEAS

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    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. Wiemann, Paul F.V. & Klein, Nadja & Kneib, Thomas, 2022. "Correcting for sample selection bias in Bayesian distributional regression models," Computational Statistics & Data Analysis, Elsevier, vol. 168(C).
    2. Omori, Yasuhiro & Miyawaki, Koji, 2010. "Tobit model with covariate dependent thresholds," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2736-2752, November.
    3. 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, May.
    4. Sögner, Leopold, 2015. "Learning, convergence and economic constraints," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 27-43.
    5. 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.
    6. Eoghan O'Neill, 2022. "Type I Tobit Bayesian Additive Regression Trees for Censored Outcome Regression," Papers 2211.07506, arXiv.org, revised Feb 2024.
    7. Alexander Jordan & Alex Lenkoski, 2012. "Tobit Bayesian Model Averaging and the Determinants of Foreign Direct Investment," Papers 1205.2501, arXiv.org.

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