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Gradually truncated log-normal in USA publicly traded firm size distribution

Author

Listed:
  • Gupta, Hari M.
  • Campanha, José R.
  • de Aguiar, Daniela R.
  • Queiroz, Gabriel A.
  • Raheja, Charu G.

Abstract

We study the statistical distribution of firm size for USA and Brazilian publicly traded firms through the Zipf plot technique. Sale size is used to measure firm size. The Brazilian firm size distribution is given by a log-normal distribution without any adjustable parameter. However, we also need to consider different parameters of log-normal distribution for the largest firms in the distribution, which are mostly foreign firms. The log-normal distribution has to be gradually truncated after a certain critical value for USA firms. Therefore, the original hypothesis of proportional effect proposed by Gibrat is valid with some modification for very large firms. We also consider the possible mechanisms behind this distribution.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:375:y:2007:i:2:p:643-650
    DOI: 10.1016/j.physa.2006.09.025
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    References listed on IDEAS

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    1. Hart, Oliver, 1995. "Firms, Contracts, and Financial Structure," OUP Catalogue, Oxford University Press, number 9780198288817.
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    Cited by:

    1. 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.
    2. 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.
    3. Hernan Mondani & Petter Holme & Fredrik Liljeros, 2014. "Fat-Tailed Fluctuations in the Size of Organizations: The Role of Social Influence," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-9, July.
    4. 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.
    5. Lina M Cortés & Juan M Lozada & Javier Perote, 2021. "Firm size and economic concentration: An analysis from a lognormal expansion," PLOS ONE, Public Library of Science, vol. 16(7), pages 1-21, July.
    6. Gao, Baojun & Chan, Wai Kin (Victor) & Li, Hongyi, 2015. "On the increasing inequality in size distribution of China's listed companies," China Economic Review, Elsevier, vol. 36(C), pages 25-41.
    7. Murat ATAN & Emre BOZDAĞ, 2011. "Avrupa Karbonatlı İçecekler Piyasasında Firma Büyüklüğü Ve Büyüklük Genişleme Oranı İlişkisi," Ekonomik Yaklasim, Ekonomik Yaklasim Association, vol. 22(80), pages 19-38.
    8. Fix, Blair, 2016. "Energy and Institution Size," Working Papers on Capital as Power 2016/04, Capital As Power - Toward a New Cosmology of Capitalism.
    9. Chen Ge & Shu-Guang Zhang & Bin Wang, 2020. "Modeling the joint distribution of firm size and firm age based on grouped data," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-19, July.

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