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Bayesian quantile regression: An application to the wage distribution in 1990s Britain

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Author Info

  • Yu, Keming

    (University of Plymouth, UK)

  • Van Kerm, Philippe

    (CEPS/INSTEAD, G.-D. Luxembourg)

  • Zhang, Jin

    (University of Manitoba, Canada)

Abstract

This paper illustrates application of Bayesian inference to quantile regression. Bayesian inference regards unknown parameters as random variables, and we describe an MCMC algorithm to estimate the posterior densities of quantile regression parameters. Parameter uncertainty is taken into account without relying on asymptotic approximations. Bayesian inference revealed effective in our application to the wage structure among working males in Britain between 1991 and 2001 using data from the British Household Panel Survey. Looking at different points along the conditional wage distribution uncovered important features of wage returns to education, experience and public sector employment that would be concealed by mean regression.

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Bibliographic Info

Paper provided by IRISS at CEPS/INSTEAD in its series IRISS Working Paper Series with number 2004-10.

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Length: 16 pages
Date of creation: Aug 2004
Date of revision:
Publication status: Published in Sankhya, the Indian Journal of Statistics, 2005, vol. 67, no. 2, pp. 359-377
Handle: RePEc:irs:iriswp:2004-10

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Keywords: quantile regression ; bayesian inference ; wage distribution ; MCMC;

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References

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  1. Richard Disney & Amanda Gosling, 1998. "Does it pay to work in the public sector?," Fiscal Studies, Institute for Fiscal Studies, vol. 19(4), pages 347-374, November.
  2. Koenker, Roger & Bassett, Gilbert, Jr, 1982. "Robust Tests for Heteroscedasticity Based on Regression Quantiles," Econometrica, Econometric Society, vol. 50(1), pages 43-61, January.
  3. 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.
  4. Willis, Robert J., 1987. "Wage determinants: A survey and reinterpretation of human capital earnings functions," Handbook of Labor Economics, in: O. Ashenfelter & R. Layard (ed.), Handbook of Labor Economics, edition 1, volume 1, chapter 10, pages 525-602 Elsevier.
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Cited by:
  1. repec:ese:iserwp:2006-36 is not listed on IDEAS
  2. Monojit Chatterji & Karen Mumford, 2007. "Flying High and Laying Low in the Public and Private Sectors: A Comparison of Pay Differentials for Full-Time Male Employees in Britain," Dundee Discussion Papers in Economics 209, Economic Studies, University of Dundee.
  3. Chatterji, Monojit & Mumford, Karen A., 2007. "The Public-Private Sector Wage Differential for Full-Time Male Employees in Britain: A Preliminary Analysis," IZA Discussion Papers 2781, Institute for the Study of Labor (IZA).
  4. Raquel Rangel de Meireles Guimarães & Luisa Pimenta Terra & Anna Carolina Martins Pinto & Cibele Comini César, 2010. "Diferenciais Regionais No Retorno À Participação No Setor Público No Brasil, 2005," Anais do XIV Seminário sobre a Economia Mineira [Proceedings of the 14th Seminar on the Economy of Minas Gerais], in: Anais do XIV Seminário sobre a Economia Mineira [Proceedings of the 14th Seminar on the Economy of Minas Gerais] Cedeplar, Universidade Federal de Minas Gerais.
  5. Fusco, Alessio & Dickes, Paul, 2006. "Rasch Model and Multidimensional Poverty Measurement," IRISS Working Paper Series 2006-02, IRISS at CEPS/INSTEAD.
  6. Van Kerm, Philippe, 2006. "Comparisons of income mobility profiles," IRISS Working Paper Series 2006-03, IRISS at CEPS/INSTEAD.

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