IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v67y2013icp226-235.html
   My bibliography  Save this article

Comparison of MCMC algorithms for the estimation of Tobit model with non-normal error: The case of asymmetric Laplace distribution

Author

Listed:
  • Wichitaksorn, Nuttanan
  • Tsurumi, Hiroki

Abstract

The analysis of Tobit model with non-normal error distribution is extended to the case of asymmetric Laplace distribution (ALD). Since the ALD probability density function is known to be continuous but not differentiable, the usual mode-finding algorithms such as maximum likelihood can be difficult and result in the inconsistent parameter estimates. Various Markov chain Monte Carlo algorithms including probability integral transformation, griddy Gibbs, random walk Metropolis–Hastings, and tailored randomized block Metropolis–Hastings (TaRB-MH) are applied and compared. Results from a simulation study suggest that TaRB-MH is the best performing algorithm. Using a survey dataset on the wage earnings of Thai male workers to compare the Tobit model with normal and ALD errors through the model marginal likelihood and deviance information criterion, the results reveal that the model with the ALD error is preferred.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:csdana:v:67:y:2013:i:c:p:226-235
    DOI: 10.1016/j.csda.2013.06.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167947313002156
    Download Restriction: Full text for ScienceDirect subscribers only.
    File URL: https://libkey.io/10.1016/j.csda.2013.06.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chib, Siddhartha & Greenberg, Edward, 1994. "Bayes inference in regression models with ARMA (p, q) errors," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 183-206.
    2. Xiaodong Gong & Arthur van Soest, 2002. "Family Structure and Female Labor Supply in Mexico City," Journal of Human Resources, University of Wisconsin Press, vol. 37(1), pages 163-191.
    3. Omori, Yasuhiro & Miyawaki, Koji, 2010. "Tobit model with covariate dependent thresholds," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2736-2752, November.
    4. Healy, Andrew J. & Jitsuchon, Somchai, 2007. "Finding the poor in Thailand," Journal of Asian Economics, Elsevier, vol. 18(5), pages 739-759, October.
    5. Alan S. Blinder, 1976. "On Dogmatism in Human Capital Theory," Journal of Human Resources, University of Wisconsin Press, vol. 11(1), pages 8-22.
    6. Jacob A. Mincer, 1974. "Introduction to "Schooling, Experience, and Earnings"," NBER Chapters, in: Schooling, Experience, and Earnings, pages 1-4, National Bureau of Economic Research, Inc.
    7. Mark R. Rosenzweig & Jack Morgan, 1976. "Wage Discrimination: A Comment," Journal of Human Resources, University of Wisconsin Press, vol. 11(1), pages 3-7.
    8. Jacob A. Mincer, 1974. "Schooling, Experience, and Earnings," NBER Books, National Bureau of Economic Research, Inc, number minc74-1, July.
    9. Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053.
    10. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
    11. Alan S. Blinder, 1973. "Wage Discrimination: Reduced Form and Structural Estimates," Journal of Human Resources, University of Wisconsin Press, vol. 8(4), pages 436-455.
    12. Bilias, Yannis & Chen, Songnian & Ying, Zhiliang, 2000. "Simple resampling methods for censored regression quantiles," Journal of Econometrics, Elsevier, vol. 99(2), pages 373-386, December.
    13. Chib, Siddhartha & Ramamurthy, Srikanth, 2010. "Tailored randomized block MCMC methods with application to DSGE models," Journal of Econometrics, Elsevier, vol. 155(1), pages 19-38, March.
    14. Chib S. & Jeliazkov I., 2001. "Marginal Likelihood From the Metropolis-Hastings Output," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 270-281, March.
    15. Elerain, Ola & Chib, Siddhartha & Shephard, Neil, 2001. "Likelihood Inference for Discretely Observed Nonlinear Diffusions," Econometrica, Econometric Society, vol. 69(4), pages 959-993, July.
    16. Yu, Keming & Stander, Julian, 2007. "Bayesian analysis of a Tobit quantile regression model," Journal of Econometrics, Elsevier, vol. 137(1), pages 260-276, March.
    17. Paxson, Christina H, 1993. "Consumption and Income Seasonality in Thailand," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 39-72, February.
    18. Robert M. Townsend, 1995. "Consumption Insurance: An Evaluation of Risk-Bearing Systems in Low-Income Economies," Journal of Economic Perspectives, American Economic Association, vol. 9(3), pages 83-102, Summer.
    19. Powell, James L., 1986. "Censored regression quantiles," Journal of Econometrics, Elsevier, vol. 32(1), pages 143-155, June.
    20. Paxson, Christina H, 1992. "Using Weather Variability to Estimate the Response of Savings to Transitory Income in Thailand," American Economic Review, American Economic Association, vol. 82(1), pages 15-33, March.
    21. Mroz, Thomas A, 1987. "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," Econometrica, Econometric Society, vol. 55(4), pages 765-799, July.
    22. Zabel, Jeffrey E, 1993. "The Relationship between Hours of Work and Labor Force Participation in Four Models of Labor Supply Behavior," Journal of Labor Economics, University of Chicago Press, vol. 11(2), pages 387-416, April.
    23. Hideo Kozumi & Genya Kobayashi, 2009. "Gibbs Sampling Methods for Bayesian Quantile Regression," Discussion Papers 2009-02, Kobe University, Graduate School of Business Administration.
    24. Jacob A. Mincer, 1974. "Schooling and Earnings," NBER Chapters, in: Schooling, Experience, and Earnings, pages 41-63, National Bureau of Economic Research, Inc.
    25. Chib, Siddhartha, 1992. "Bayes inference in the Tobit censored regression model," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 79-99.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kazuhiko Kakamu & Haruhisa Nishino, 2019. "Bayesian Estimation of Beta-type Distribution Parameters Based on Grouped Data," Computational Economics, Springer;Society for Computational Economics, vol. 54(2), pages 625-645, August.
    2. Yuanying Zhao & Dengke Xu, 2023. "A Bayesian Variable Selection Method for Spatial Autoregressive Quantile Models," Mathematics, MDPI, vol. 11(4), pages 1-19, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ji, Yonggang & Lin, Nan & Zhang, Baoxue, 2012. "Model selection in binary and tobit quantile regression using the Gibbs sampler," Computational Statistics & Data Analysis, Elsevier, vol. 56(4), pages 827-839.
    2. Arceo-Gómez, Eva O. & Campos-Vázquez, Raymundo M., 2014. "Evolución de la brecha salarial de género en México," El Trimestre Económico, Fondo de Cultura Económica, vol. 0(323), pages .619-653, julio-sep.
    3. Melly, Blaise, 2005. "Decomposition of differences in distribution using quantile regression," Labour Economics, Elsevier, vol. 12(4), pages 577-590, August.
    4. Livanos, Ilias & Pouliakas, Konstantinos, 2009. "The Gender Wage Gap as a Function of Educational Degree Choices in an Occupationally Segregated EU Country," IZA Discussion Papers 4636, Institute of Labor Economics (IZA).
    5. Oscar Molina Tejerina & Sergio Bobka Calcina, 2016. "Comercio internacional y brechas salariales no explicadas por género: Evidencia para el sector agrícola en Bolivia," Investigación & Desarrollo 0416, Universidad Privada Boliviana, revised Jun 2016.
    6. Ilhom Abdulloev & Ira N Gang & Myeong-Su Yun, 2014. "Migration, Education and the Gender Gap in Labour Force Participation," The European Journal of Development Research, Palgrave Macmillan;European Association of Development Research and Training Institutes (EADI), vol. 26(4), pages 509-526, September.
    7. Philip Trostel & Ian Walker, 2006. "Education and Work," Education Economics, Taylor & Francis Journals, vol. 14(4), pages 377-399.
    8. Rosen, Harvey S, 1982. "Taxation and On-the-Job Training Decisions," The Review of Economics and Statistics, MIT Press, vol. 64(3), pages 442-449, August.
    9. Michael S. Delgado & Daniel J. Henderson & Christopher F. Parmeter, 2014. "Does Education Matter for Economic Growth?," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 76(3), pages 334-359, June.
    10. Greaney, Theresa M. & Tanaka, Ayumu, 2021. "Foreign Ownership, Exporting and Gender Wage Gaps: Evidence from Japanese Linked Employer-Employee Data," Journal of the Japanese and International Economies, Elsevier, vol. 61(C).
    11. Jean-Marc Fournier & Isabell Koske, 2012. "The determinants of earnings inequality: evidence from quantile regressions," OECD Journal: Economic Studies, OECD Publishing, vol. 2012(1), pages 7-36.
    12. Michaela Fuchs & Anja Rossen & Antje Weyh & Gabriele Wydra‐Somaggio, 2021. "Where do women earn more than men? Explaining regional differences in the gender pay gap," Journal of Regional Science, Wiley Blackwell, vol. 61(5), pages 1065-1086, November.
    13. Nancy Daza & Luis Fernando Gamboa, 2013. "Informal-formal wage gaps in Colombia," Working Papers 301, ECINEQ, Society for the Study of Economic Inequality.
    14. Moshe Buchinsky, 1998. "Recent Advances in Quantile Regression Models: A Practical Guideline for Empirical Research," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 88-126.
    15. Aleksandra Anić & Gorana Krstić, 2019. "What Lies Behind The Gender Wage Gap In Serbia?," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 64(223), pages 137-170, October –.
    16. Zuzana Brixiová Schwidrowski & Susumu Imai & Thierry Kangoye & Nadege Desiree Yameogo, 2021. "Assessing gender gaps in employment and earnings in Africa: The case of Eswatini," Development Southern Africa, Taylor & Francis Journals, vol. 38(4), pages 643-663, July.
    17. Colm Harmon & Claire Finn & Arnaud Chevalier & Tarja Viitanen, 2006. "The economics of early childhood care and education : technical research paper for the National Economic and Social Forum," Open Access publications 10197/671, School of Economics, University College Dublin.
    18. Andreas Peichl & Nico Pestel & Sebastian Siegloch, 2013. "The politicians’ wage gap: insights from German members of parliament," Public Choice, Springer, vol. 156(3), pages 653-676, September.
    19. Garcia-Aracil, Adela & Winter, Carolyn, 2006. "Gender and ethnicity differentials in school attainment and labor market earnings in Ecuador," World Development, Elsevier, vol. 34(2), pages 289-307, February.
    20. M. Ángeles Díaz & Rosario Sánchez, 2013. "Young Workers, Marital Status And Wage Gap," Revista de Economia Aplicada, Universidad de Zaragoza, Departamento de Estructura Economica y Economia Publica, vol. 21(1), pages 57-70, Spring.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:csdana:v:67:y:2013:i:c:p:226-235. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.