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Tobit Model with Covariate Dependent Thresholds

Author

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  • Yasuhiro Omori

    (Faculty of Economics, University of Tokyo)

  • Koji Miyawaki

    (Graduate School of Economics, University of Tokyo)

Abstract

Tobit models are extended to allow threshold values which depend on individuals' characteristics. In such models, the parameters are subject to as many inequality constraints as the number of observations, and the maximum likelihood estimation which requires the numerical maximisation of the likelihood is often difficult to be implemented. Using a Bayesian approach, a Gibbs sampler algorithm is proposed and, further, the convergence to the posterior distribution is accelerated by introducing an additional scale transformation step. The procedure is illustrated using the simulated data, wage data and prime rate changes data.

Suggested Citation

  • Yasuhiro Omori & Koji Miyawaki, 2008. "Tobit Model with Covariate Dependent Thresholds," CIRJE F-Series CIRJE-F-594, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2008cf594
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    References listed on IDEAS

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    2. Wichitaksorn, Nuttanan & Tsurumi, Hiroki, 2013. "Comparison of MCMC algorithms for the estimation of Tobit model with non-normal error: The case of asymmetric Laplace distribution," Computational Statistics & Data Analysis, Elsevier, vol. 67(C), pages 226-235.
    3. Marra, Giampiero & Wyszynski, Karol, 2016. "Semi-parametric copula sample selection models for count responses," Computational Statistics & Data Analysis, Elsevier, vol. 104(C), pages 110-129.
    4. Marra, Giampiero & Radice, Rosalba, 2013. "Estimation of a regression spline sample selection model," Computational Statistics & Data Analysis, Elsevier, vol. 61(C), pages 158-173.
    5. Li, He & Zhang, Zhichao & Zhang, Chuanjie, 2017. "China’s intervention in the central parity rate: A Bayesian Tobit analysis," Research in International Business and Finance, Elsevier, vol. 39(PA), pages 612-624.
    6. Moon, Sangkil & Azizi, Kathryn, 2013. "Finding Donors by Relationship Fundraising," Journal of Interactive Marketing, Elsevier, vol. 27(2), pages 112-129.

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