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Gibrat's Law and Quantile Regressions: an Application to Firm Growth

Author

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  • Distante, Roberta

    (University of Copenhagen)

  • Petrella, Ivan

    (Warwick Business School and CEPR)

  • Santoro, Emiliano

    (University of Copenhagen)

Abstract

The nexus between firm growth, size and age in U.S. manufacturing is examined through the lens of quantile regression models. This methodology allows us to overcome serious shortcomings entailed by linear regression models employed by much of the existing literature, unveiling a number of important properties. Size pushes both low and high performing firms towards the median rate of growth, while age is never advantageous, and more so as firms are relatively small and grow faster. These findings support theoretical generalizations of Gibrat's law that allow size to affect the variance of the growth process, but not its mean.

Suggested Citation

  • Distante, Roberta & Petrella, Ivan & Santoro, Emiliano, 2017. "Gibrat's Law and Quantile Regressions: an Application to Firm Growth," EMF Research Papers 16, Economic Modelling and Forecasting Group.
    • Handle: RePEc:wrk:wrkemf:16
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    1. Binder, Michael & Hsiao, Cheng & Pesaran, M. Hashem, 2005. "Estimation And Inference In Short Panel Vector Autoregressions With Unit Roots And Cointegration," Econometric Theory, Cambridge University Press, vol. 21(4), pages 795-837, August.
    2. Distante, Roberta & Petrella, Ivan & Santoro, Emiliano, 2013. "Asymmetry Reversals and the Business Cycle," Economy and Society 151531, Fondazione Eni Enrico Mattei (FEEM).
    3. G. Urga & P. A. Geroski & S. Lazarova & C. F. Walters, 2003. "Are differences in firm size transitory or permanent?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 47-59.
    4. Diego A. Comin & Thomas Philippon, 2006. "The Rise in Firm-Level Volatility: Causes and Consequences," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 167-228, National Bureau of Economic Research, Inc.
    5. Vasco M. Carvalho & Basile Grassi, 2019. "Large Firm Dynamics and the Business Cycle," American Economic Review, American Economic Association, vol. 109(4), pages 1375-1425, April.
    6. Evans, David S, 1987. "The Relationship between Firm Growth, Size, and Age: Estimates for 100 Manufacturing Industries," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 567-581, June.
    7. Basile Grassi, 2017. "IO in I-O: Competition and Volatility in Input-Output Networks," 2017 Meeting Papers 1637, Society for Economic Dynamics.
    8. Evans, David S, 1987. "Tests of Alternative Theories of Firm Growth," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 657-674, August.
    9. Fama, Eugene F & French, Kenneth R, 2000. "Forecasting Profitability and Earnings," The Journal of Business, University of Chicago Press, vol. 73(2), pages 161-175, April.
    10. Erzo G.J. Luttmer, 2010. "Models of Growth and Firm Heterogeneity," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 547-576, September.
    11. Luís M B Cabral & José Mata, 2003. "On the Evolution of the Firm Size Distribution: Facts and Theory," American Economic Review, American Economic Association, vol. 93(4), pages 1075-1090, September.
    12. Koenker,Roger, 2005. "Quantile Regression," Cambridge Books, Cambridge University Press, number 9780521845731, January.
    13. Juan Carlos Córdoba, 2008. "A Generalized Gibrat'S Law," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1463-1468, November.
    14. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    15. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    16. Alex Coad, 2007. "A Closer Look at Serial Growth Rate Correlation," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 31(1), pages 69-82, August.
    17. Sean Holly & Ivan Petrella & Emiliano Santoro, 2013. "Aggregate fluctuations and the cross-sectional dynamics of firm growth," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 176(2), pages 459-479, February.
    18. Diego Comin & Sunil Mulani, 2006. "Diverging Trends in Aggregate and Firm Volatility," The Review of Economics and Statistics, MIT Press, vol. 88(2), pages 374-383, May.
    19. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    20. Coad, Alex & Rao, Rekha, 2008. "Innovation and firm growth in high-tech sectors: A quantile regression approach," Research Policy, Elsevier, vol. 37(4), pages 633-648, May.
    21. 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.
    22. J. M. Samuels, 1965. "Size and The Growth of Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 105-112.
    23. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 583-606, June.
    24. Timothy Dunne & Mark J. Roberts & Larry Samuelson, 1989. "The Growth and Failure of U. S. Manufacturing Plants," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(4), pages 671-698.
    25. repec:ran:wpaper:710-1 is not listed on IDEAS
    26. Toke Reichstein & Michael Dahl & Bernd Ebersberger & Morten Jensen, 2010. "The devil dwells in the tails," Journal of Evolutionary Economics, Springer, vol. 20(2), pages 219-231, April.
    27. John Haltiwanger & Ron S. Jarmin & Javier Miranda, 2013. "Who Creates Jobs? Small versus Large versus Young," The Review of Economics and Statistics, MIT Press, vol. 95(2), pages 347-361, May.
    28. Ajit Singh & Geoffrey Whittington, 1975. "The Size and Growth of Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 15-26.
    29. Higson, C. & Holly, S. & Kattuman, P., 2002. "The cross-sectional dynamics of the US business cycle: 1950-1999," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1539-1555, August.
    30. C. Higson & S. Holly & P. Kattuman & S. Platis, 2004. "The Business Cycle, Macroeconomic Shocks and the Cross-Section: The Growth of UK Quoted Companies," Economica, London School of Economics and Political Science, vol. 71(281), pages 299-318, May.
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    Cited by:

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    2. Polemis, Michael L. & Stengos, Thanasis & Tzeremes, Panayiotis & Tzeremes, Nickolaos G., 2021. "Quantile eco-efficiency estimation and convergence: A nonparametric frontier approach," Economics Letters, Elsevier, vol. 202(C).
    3. Halkos, George & Polemis, Michael, 2018. "Does market structure trigger efficiency? Evidence for the USA before and after the financial crisis," MPRA Paper 84511, University Library of Munich, Germany.
    4. Besstremyannaya, Galina & Dasher, Richard & Golovan, Sergei, 2022. "Quantifying heterogeneity in the relationship between R&D intensity and growth at innovative Japanese firms: A quantile regression approach," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 67, pages 27-45.
    5. Guerzoni, Marco & Riso, Luigi & Vivarelli, Marco, 2023. "Was Robert Gibrat Right? A Test Based on the Graphical Model Methodology," IZA Discussion Papers 15995, Institute of Labor Economics (IZA).
    6. Polemis, Michael, 2018. "Personality traits as an engine of knowledge: A quantile regression approach," MPRA Paper 88614, University Library of Munich, Germany.
    7. Guerzoni, Marco & Riso, Luigi & Vivarelli, Marco, 2023. "The Law of Proportionate Effect: A test based on the graphical model methodology," GLO Discussion Paper Series 1248, Global Labor Organization (GLO).
    8. Sorin Gabriel Anton & Mihaela Onofrei & Emilia Gogu & Bogdan Constantin Neculau & Florin Mihai, 2021. "Debt Overhang, Gazelles’ Growth, and Fiscal Policy: A Note from the Quantile Regression Approach," Sustainability, MDPI, vol. 13(18), pages 1-10, September.
    9. Vaz, Rolando, 2021. "Firm Growth: A review of the empirical literature," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 30(2), pages 1-20.
    10. Christos Axioglou & Nicos Christodoulakis, 2019. "Which firms survive in a crisis? Corporate dynamics in Greece 2001-2014," GreeSE – Hellenic Observatory Papers on Greece and Southeast Europe 133, Hellenic Observatory, LSE.
    11. George E. Halkos & Michael L. Polemis, 2019. "The impact of market structure on environmental efficiency in the United States: A quantile approach," Business Strategy and the Environment, Wiley Blackwell, vol. 28(1), pages 127-142, January.
    12. Lee Mihye, 2023. "Determinants of Firm-Level Growth: Lessons from the Czech Republic, Hungary, and Poland," South East European Journal of Economics and Business, Sciendo, vol. 18(1), pages 46-57, June.
    13. Anh Tuan Bui & Susan Lambert & Tung Duc Phung & Giao Reynolds, 2021. "The Impact of Business Obstacles on Firm Growth and Job Stability in East Asia and Pacific Nations," Sustainability, MDPI, vol. 13(19), pages 1-19, October.
    14. Anh Tuan Bui & Thu Phuong Pham, 2021. "Financial and Labour Obstacles and Firm Employment: Evidence from Europe and Central Asia Firms," Sustainability, MDPI, vol. 13(15), pages 1-18, August.
    15. Hyunseog Chung & Soomin Eum & Chulung Lee, 2019. "Firm Growth and R&D in the Korean Pharmaceutical Industry," Sustainability, MDPI, vol. 11(10), pages 1-19, May.
    16. Christos Axioglou & Nicos Christodoulakis, 2021. "Which firms survive in a crisis? Investigating Gibrat’s Law in Greece 2001–2014," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 48(2), pages 159-217, June.

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    More about this item

    Keywords

    firm growth ; size ; age ; conditional quantiles JEL Classification Numbers: D22 ; L11 ; C21;
    All these keywords.

    JEL classification:

    • D22 - Microeconomics - - Production and Organizations - - - Firm Behavior: Empirical Analysis
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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