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Firm size and concentration inequality: A flexible extension of Gibrat’s law

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  • Lina Cortés
  • Juan M. Lozada
  • Javier Perote

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  • Lina Cortés & Juan M. Lozada & Javier Perote, 2019. "Firm size and concentration inequality: A flexible extension of Gibrat’s law," Documentos de Trabajo de Valor Público 17205, Universidad EAFIT.
    • Handle: RePEc:col:000122:017205
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    1. D.B. Audretsch & L. Klomp & E. Santarelli & A.R. Thurik, 2004. "Gibrat's Law: Are the Services Different?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 24(3), pages 301-324, May.
    2. Jondeau, Eric & Rockinger, Michael, 2001. "Gram-Charlier densities," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1457-1483, October.
    3. Jensen, Michael C, 1986. "Agency Costs of Free Cash Flow, Corporate Finance, and Takeovers," American Economic Review, American Economic Association, vol. 76(2), pages 323-329, May.
    4. Yi Chen & Frank A. Cowell, 2017. "Mobility in China," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(2), pages 203-218, June.
    5. Giorgio Barba Navaretti & Davide Castellani & Fabio Pieri, 2014. "Age and firm growth: evidence from three European countries," Small Business Economics, Springer, vol. 43(4), pages 823-837, December.
    6. di Giovanni, Julian & Levchenko, Andrei A. & Rancière, Romain, 2011. "Power laws in firm size and openness to trade: Measurement and implications," Journal of International Economics, Elsevier, vol. 85(1), pages 42-52, September.
    7. Frank A. Cowell, 2008. "Income Distribution and Inequality," Chapters, in: John B. Davis & Wilfred Dolfsma (ed.), The Elgar Companion to Social Economics, chapter 13, Edward Elgar Publishing.
    8. Heinrich, Torsten & Dai, Shuanping, 2016. "Diversity of firm sizes, complexity, and industry structure in the Chinese economy," Structural Change and Economic Dynamics, Elsevier, vol. 37(C), pages 90-106.
    9. Gavin Reid & Zhibin Xu, 2012. "Generalising Gibrat: using Chinese evidence founded on fieldwork," Small Business Economics, Springer, vol. 39(4), pages 1017-1028, November.
    10. 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.
    11. Dunne, Paul & Hughes, Alan, 1994. "Age, Size, Growth and Survival: UK Companies in the 1980s," Journal of Industrial Economics, Wiley Blackwell, vol. 42(2), pages 115-140, June.
    12. Myers, Stewart C, 1984. "The Capital Structure Puzzle," Journal of Finance, American Finance Association, vol. 39(3), pages 575-592, July.
    13. Alex Coad, 2009. "The Growth of Firms," Books, Edward Elgar Publishing, number 13424.
    14. León, à ngel & Mencía, Javier & Sentana, Enrique, 2009. "Parametric Properties of Semi-Nonparametric Distributions, with Applications to Option Valuation," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(2), pages 176-192.
    15. Canarella, Giorgio & Miller, Stephen M., 2018. "The determinants of growth in the U.S. information and communication technology (ICT) industry: A firm-level analysis," Economic Modelling, Elsevier, vol. 70(C), pages 259-271.
    16. Paolo Angelini & Andrea Generale, 2008. "On the Evolution of Firm Size Distributions," American Economic Review, American Economic Association, vol. 98(1), pages 426-438, March.
    17. Liñares-Zegarra, José & Wilson, John O.S., 2018. "The size and growth of microfinance institutions," The British Accounting Review, Elsevier, vol. 50(2), pages 199-213.
    18. Cowell, Frank A. & Flachaire, Emmanuel, 2007. "Income distribution and inequality measurement: The problem of extreme values," Journal of Econometrics, Elsevier, vol. 141(2), pages 1044-1072, December.
    19. Coad, Alex, 2010. "Investigating the exponential age distribution of firms," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 4, pages 1-30.
    20. Sarabia, J. -M. & Castillo, Enrique & Slottje, Daniel J., 1999. "An ordered family of Lorenz curves," Journal of Econometrics, Elsevier, vol. 91(1), pages 43-60, July.
    21. Yu Yvette Zhang & Ximing Wu & Qi Li, 2016. "A Simple Consistent Nonparametric Estimator of the Lorenz Curve," Advances in Econometrics, in: Essays in Honor of Aman Ullah, volume 36, pages 635-653, Emerald Group Publishing Limited.
    22. Blandina Oliveira & Adelino Fortunato, 2006. "Testing Gibrat's Law: Empirical Evidence from a Panel of Portuguese Manufacturing Firms," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 13(1), pages 65-81.
    23. Bebczuk, Ricardo N. & Da Silva, André L. Carvalhal & Chong, Alberto E. & Cruces, Juan José & Garay, Urbi & González, Maximiliano & Gutiérrez, Luis H. & Kawamura, Enrique & Leal, Ricardo P. C. & Lefort, 2007. "Investor Protection and Corporate Governance: Firm-level Evidence across Latin America," IDB Publications (Books), Inter-American Development Bank, number 354, November.
    24. Wang, Yuanjun & You, Shibing, 2016. "An alternative method for modeling the size distribution of top wealth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 443-453.
    25. Alex Coad, 2010. "The Exponential Age Distribution and the Pareto Firm Size Distribution," Journal of Industry, Competition and Trade, Springer, vol. 10(3), pages 389-395, September.
    26. Lina M. Cortés & Andrés Mora-Valencia & Javier Perote, 2016. "The productivity of top researchers: a semi-nonparametric approach," Scientometrics, Springer;Akadémiai Kiadó, vol. 109(2), pages 891-915, November.
    27. Guo, Jinzhong & Xu, Qi & Chen, Qinghua & Wang, Yougui, 2013. "Firm size distribution and mobility of the top 500 firms in China, the United States and the world," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2903-2914.
    28. Giulio Bottazzi & Angelo Secchi, 2003. "Common Properties and Sectoral Specificities in the Dynamics of U.S. Manufacturing Companies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 23(3_4), pages 217-232, December.
    29. Zhang, Jianhua & Chen, Qinghua & Wang, Yougui, 2009. "Zipf distribution in top Chinese firms and an economic explanation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2020-2024.
    30. Taisei Kaizoji & Hiroshi Iyetomi & Yuichi Ikeda, 2005. "Re-examination of the size distribution of firms," Papers physics/0512124, arXiv.org, revised Mar 2006.
    31. repec:idb:brikps:59598 is not listed on IDEAS
    32. Hasegawa, Hikaru & Kozumi, Hideo, 2003. "Estimation of Lorenz curves: a Bayesian nonparametric approach," Journal of Econometrics, Elsevier, vol. 115(2), pages 277-291, August.
    33. Ana M. Moreno & José C. Casillas, 2007. "High-growth SMEs versus non-high-growth SMEs: a discriminant analysis," Entrepreneurship & Regional Development, Taylor & Francis Journals, vol. 19(1), pages 69-88, January.
    34. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    35. Alberto Chong & Florencio López-de-Silanes, 2007. "Investor Protection and Corporate Governance : Firm-Level Evidence Across Latin America," World Bank Publications - Books, The World Bank Group, number 6769.
    36. Coad, Alex, 2007. "Testing the principle of `growth of the fitter': The relationship between profits and firm growth," Structural Change and Economic Dynamics, Elsevier, vol. 18(3), pages 370-386, September.
    37. Segarra, Agustí & Teruel, Mercedes, 2012. "An appraisal of firm size distribution: Does sample size matter?," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 314-328.
    38. Francesca Lotti & Enrico Santarelli & Marco Vivarelli, 2009. "Defending Gibrat’s Law as a long-run regularity," Small Business Economics, Springer, vol. 32(1), pages 31-44, January.
    39. Céspedes, Jacelly & González, Maximiliano & Molina, Carlos A., 2010. "Ownership and capital structure in Latin America," Journal of Business Research, Elsevier, vol. 63(3), pages 248-254, March.
    40. 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.
    41. Orietta Marsili, 2006. "Stability and Turbulence in the Size Distribution of Firms: Evidence from Dutch Manufacturing," International Review of Applied Economics, Taylor & Francis Journals, vol. 20(2), pages 255-272.
    42. Stewart C. Myers, 1984. "Capital Structure Puzzle," NBER Working Papers 1393, National Bureau of Economic Research, Inc.
    43. Pascoal, Rui & Augusto, Mário & Monteiro, A.M., 2016. "Size distribution of Portuguese firms between 2006 and 2012," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 342-355.
    44. McCloughan, Patrick, 1995. "Simulation of Concentration Development from Modified Gibrat Growth-Entry-Exit Processes," Journal of Industrial Economics, Wiley Blackwell, vol. 43(4), pages 405-433, December.
    45. Ogwang, Tomson & Rao, U. L. Gouranga, 2000. "Hybrid models of the Lorenz curve," Economics Letters, Elsevier, vol. 69(1), pages 39-44, October.
    46. Elena Cefis & Orietta Marsili & Hans Schenk, 2009. "The effects of mergers and acquisitions on the firm size distribution," Journal of Evolutionary Economics, Springer, vol. 19(1), pages 1-20, February.
    47. Cirillo, Pasquale & Hüsler, Jürg, 2009. "On the upper tail of Italian firms’ size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1546-1554.
    48. John Goddard & Hong Liu & Donal Mckillop & John O.S. Wilson, 2014. "The Size Distribution of US Banks and Credit Unions," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 21(1), pages 139-156, February.
    49. Becchetti, Leonardo & Trovato, Giovanni, 2002. "The Determinants of Growth for Small and Medium Sized Firms: The Role of the Availability of External Finance," Small Business Economics, Springer, vol. 19(4), pages 291-306, December.
    50. Tang, Ali, 2014. "Does Gibrat’s Law Hold for Swedish Energy Firms?," HUI Working Papers 99, HUI Research.
    51. Ralf R. Meisenzahl, 2016. "Can Financing Constraints Explain the Evolution of the Firm Size Distribution?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 48(2), pages 123-147, March.
    52. Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
    53. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
    54. 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.
    55. Giulio Bottazzi & Davide Pirino & Federico Tamagni, 2015. "Zipf law and the firm size distribution: a critical discussion of popular estimators," Journal of Evolutionary Economics, Springer, vol. 25(3), pages 585-610, July.
    56. L. Crosato & P. Ganugi, 2007. "Statistical regularity of firm size distribution: the Pareto IV and truncated Yule for Italian SCI manufacturing," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 16(1), pages 85-115, June.
    57. Ñíguez, Trino-Manuel & Paya, Ivan & Peel, David & Perote, Javier, 2012. "On the stability of the constant relative risk aversion (CRRA) utility under high degrees of uncertainty," Economics Letters, Elsevier, vol. 115(2), pages 244-248.
    58. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    59. Huynh, Kim P. & Petrunia, Robert J., 2010. "Age effects, leverage and firm growth," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 1003-1013, May.
    60. Ignacio Mauleon & Javier Perote, 2000. "Testing densities with financial data: an empirical comparison of the Edgeworth-Sargan density to the Student's t," The European Journal of Finance, Taylor & Francis Journals, vol. 6(2), pages 225-239.
    61. Gupta, Hari M. & Campanha, José R. & de Aguiar, Daniela R. & Queiroz, Gabriel A. & Raheja, Charu G., 2007. "Gradually truncated log-normal in USA publicly traded firm size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 643-650.
    62. Michael Dietrich & Jackie Krafft (ed.), 2012. "Handbook on the Economics and Theory of the Firm," Books, Edward Elgar Publishing, number 13623.
    63. Ricardo N. Bebczuk & André L. Carvalhal da Silva & Alberto E. Chong & Juan José Cruces & Urbi Garay & Maximiliano González & Luis H. Gutiérrez & Enrique Kawamura & Ricardo P. C. Leal & Fernando Lefort, 2007. "Investor Protection and Corporate Governance: Firm-level Evidence across Latin America," IDB Publications (Books), Inter-American Development Bank, number 59598 edited by Alberto E. Chong & Florencio López-de-Silanes, February.
    64. Younsuk Park & Jaeun Shin & Taejong Kim, 2010. "Firm size, age, industrial networking, and growth: a case of the Korean manufacturing industry," Small Business Economics, Springer, vol. 35(2), pages 153-168, September.
    65. Trino-Manuel Niguez & Ivan Paya & David Peel & Javier Perote, 2013. "Higher-order moments in the theory of diversification and portfolio composition," Working Papers 18297128, Lancaster University Management School, Economics Department.
    66. G. Bottazzi & E. Cefis & G. Dosi & A. Secchi, 2007. "Invariances and Diversities in the Patterns of Industrial Evolution: Some Evidence from Italian Manufacturing Industries," Small Business Economics, Springer, vol. 29(1), pages 137-159, June.
    67. Peter Hart & Nicholas Oulton, 1997. "Zipf and the size distribution of firms," Applied Economics Letters, Taylor & Francis Journals, vol. 4(4), pages 205-206.
    68. Myers, Stewart C., 1984. "Capital structure puzzle," Working papers 1548-84., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    69. Ralf Meisenzahl, 2016. "Can Financing Constraints Explain the Evolution of the Firm Size Distribution?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 48(2), pages 123-147, March.
    70. Michael Dietrich & Jackie Krafft, 2012. "Handbook on the Economics and Theory of the Firm," Post-Print halshs-01378625, HAL.
    71. Gallegati, M. & Palestrini, A., 2010. "The complex behavior of firms' size dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 69-76, July.
    72. Georgios Fotopoulos & Ioannis Giotopoulos, 2010. "Gibrat’s law and persistence of growth in Greek manufacturing," Small Business Economics, Springer, vol. 35(2), pages 191-202, September.
    73. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    74. Johannes Voit, 2001. "The Growth Dynamics Of German Business Firms," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 149-162.
    75. Delmar, Frederic & Davidsson, Per & Gartner, William B., 2003. "Arriving at the high-growth firm," Journal of Business Venturing, Elsevier, vol. 18(2), pages 189-216, March.
    76. Michael Dietrich & Jackie Krafft, 2012. "The Economics and Theory of the Firm," Chapters, in: Michael Dietrich & Jackie Krafft (ed.), Handbook on the Economics and Theory of the Firm, chapter 1, Edward Elgar Publishing.
    77. Cortés, Lina M. & Mora-Valencia, Andrés & Perote, Javier, 2017. "Measuring firm size distribution with semi-nonparametric densities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 485(C), pages 35-47.
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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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