IDEAS home Printed from https://ideas.repec.org/a/jae/japmet/v21y2006i5p641-653.html
   My bibliography  Save this article

Modelling firm-size distribution using Box-Cox heteroscedastic regression

Author

Listed:
  • Y. K. Tse

    (School of Economics and Social Sciences, Singapore Management University, 90 Stamford Road, Singapore 178903)

  • Z. L. Yang

    (School of Economics and Social Sciences, Singapore Management University, 90 Stamford Road, Singapore 178903)

Abstract

Using the Box-Cox regression model with heteroscedasticity (BCHR), we re-examine the size distribution of the Portuguese manufacturing firms studied by Machado and Mata (2000) using the Box-Cox quantile regression (BCQR) method. We show that the BCHR model compares favourably against the BCQR method. In particular, the BCHR model can answer the key questions addressed by the BCQR method, with the advantage that the estimated quantile functions are monotonic. Furthermore, estimation of the BCHR model is straightforward and the confidence intervals of the BCHR regression quantiles are easy to compute. Copyright © 2006 John Wiley & Sons, Ltd.

Suggested Citation

  • Y. K. Tse & Z. L. Yang, 2006. "Modelling firm-size distribution using Box-Cox heteroscedastic regression," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 641-653.
    • Handle: RePEc:jae:japmet:v:21:y:2006:i:5:p:641-653
    DOI: 10.1002/jae.870
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1002/jae.870
    File Function: Link to full text; subscription required
    Download Restriction: no
    File URL: http://qed.econ.queensu.ca:80/jae/2006-v21.5/
    File Function: Supporting data files and programs
    Download Restriction: no
    File URL: https://libkey.io/10.1002/jae.870?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Sims,Christopher A. (ed.), 1994. "Advances in Econometrics," Cambridge Books, Cambridge University Press, number 9780521444606.
    2. 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.
    3. Sims,Christopher A. (ed.), 1994. "Advances in Econometrics," Cambridge Books, Cambridge University Press, number 9780521444590.
    4. Jose A. F. Machado & Jose Mata, 2000. "Box-Cox quantile regression and the distribution of firm sizes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(3), pages 253-274.
    5. Buchinsky, Moshe, 1995. "Quantile regression, Box-Cox transformation model, and the U.S. wage structure, 1963-1987," Journal of Econometrics, Elsevier, vol. 65(1), pages 109-154, January.
    Full references (including those not matched with items on IDEAS)

    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. Bernd Fitzenberger & Ralf A. Wilke & Xuan Zhang, 2010. "Implementing Box-Cox Quantile Regression," Econometric Reviews, Taylor & Francis Journals, vol. 29(2), pages 158-181, April.
    2. Manquilef-Bächler, Alejandra A. & Arulampalam, Wiji & Smith, Jennifer C., 2009. "Differences in Decline: Quantile Regression Analysis of Union Wage Differentials in the United Kingdom, 1991-2003," IZA Discussion Papers 4138, Institute of Labor Economics (IZA).
    3. Angel López-Nicolás & Jaume García & Pedro J. Hernández, 2001. "How wide is the gap? An investigation of gender wage differences using quantile regression," Empirical Economics, Springer, vol. 26(1), pages 149-167.
    4. de la Rica, Sara & Dolado, Juan J. & Llorens, Vanesa, 2005. "Ceiling and Floors: Gender Wage Gaps by Education in Spain," IZA Discussion Papers 1483, Institute of Labor Economics (IZA).
    5. Juan J. Dolado & Vanesa Llorens, 2004. "Gender Wage Gaps by Education in Spain: Glass Floors Vs. Glass Ceilings," Working Papers wp2004_0403, CEMFI.
    6. Amini, Chiara & Commander, Simon, 2012. "Educational scores: How does Russia fare?," Journal of Comparative Economics, Elsevier, vol. 40(3), pages 508-527.
    7. Wilke, Ralf A. & Fitzenberger, Bernd & Zhang, Xuan, 2004. "A Note on Implementing Box-Cox Quantile Regression," ZEW Discussion Papers 04-61, ZEW - Leibniz Centre for European Economic Research.
    8. Albrecht, James & van Vuuren, Aico & Vroman, Susan, 2009. "Counterfactual distributions with sample selection adjustments: Econometric theory and an application to the Netherlands," Labour Economics, Elsevier, vol. 16(4), pages 383-396, August.
    9. Z. L. Yang & Y. K. Tse, 2006. "Modelling firm‐size distribution using Box–Cox heteroscedastic regression," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 641-653, July.
    10. Daniel Pollmann & Thomas Dohmen & Franz Palm, 2020. "Robust Estimation of Wage Dispersion with Censored Data: An Application to Occupational Earnings Risk and Risk Attitudes," De Economist, Springer, vol. 168(4), pages 519-540, December.
    11. Horowitz, Joel L. & Spokoiny, Vladimir G., 2000. "An Adaptive, Rate-Optimal Test of Linearity for Median Regression Models," Working Papers 00-04, University of Iowa, Department of Economics.
    12. Alfonso Carfora & Monica Ronghi & Giuseppe Scandurra, 2017. "The effect of Climate Finance on Greenhouse Gas Emission: A Quantile Regression Approach," International Journal of Energy Economics and Policy, Econjournals, vol. 7(1), pages 185-199.
    13. Grace Hong, Hyokyoung, 2013. "A quantile approach to the power transformed location–scale model," Computational Statistics & Data Analysis, Elsevier, vol. 63(C), pages 50-62.
    14. Chris Herbst & Erdal Tekin, 2011. "Child care subsidies and childhood obesity," Review of Economics of the Household, Springer, vol. 9(3), pages 349-378, September.
    15. Daniel Pollmann & Thomas Dohmen & Franz Palm, 2020. "Dispersion estimation; Earnings risk; Censoring; Quantile regression; Occupational choice; Sorting; Risk preferences; SOEP; IABS," ECONtribute Discussion Papers Series 028, University of Bonn and University of Cologne, Germany.
    16. 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.
    17. Fitzenberger, Bernd & Reize, Frank, 2002. "Quantilsregressionen der westdeutschen Verdienste: Ein Vergleich zwischen der Gehalts- und Lohnstrukturerhebung und der IAB-Beschäftigtenstichprobe," ZEW Discussion Papers 02-79, ZEW - Leibniz Centre for European Economic Research.
    18. Juan J. Dolado & Vanesa Llorens, 2004. "Gender Wage Gaps By Education In Spain: Glass Floors Vs. Glass Ceilings," Working Papers wp2004_03, CEMFI.
    19. Dolado, Juan J & Llorens, Vanesa, 2004. "Gender Wage Gaps by Education in Spain: Glass Floors versus Glass Ceilings," CEPR Discussion Papers 4203, C.E.P.R. Discussion Papers.
    20. James Albrecht & Aico van Vuuren & Susan Vroman, 2004. "Decomposing the Gender Wage Gap in the Netherlands with Sample Selection Adjustments," Tinbergen Institute Discussion Papers 04-123/3, Tinbergen Institute.

    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

    Lists

    This item is featured on the following reading lists, Wikipedia, or ReplicationWiki pages:
    1. Modelling firm-size distribution using Box–Cox heteroscedastic regression (Journal of Applied Econometrics 2006) in ReplicationWiki

    Statistics

    Access and download statistics

    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:jae:japmet:v:21:y:2006:i:5:p:641-653. 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: Wiley-Blackwell Digital Licensing or Christopher F. Baum (email available below). General contact details of provider: http://www.interscience.wiley.com/jpages/0883-7252/ .

    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.