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Re-examination of the size distribution of firms

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  • Taisei Kaizoji
  • Hiroshi Iyetomi
  • Yuichi Ikeda

Abstract

In this paper we address the question of the size distribution of firms. To this aim, we use the Bloomberg database comprising multinational firms within the years 1995-2003, and analyze the data of the sales and the total assets of the separate financial statement of the Japanese and the US companies, and make a comparison of the size distributions between the Japanese companies and the US companies. We find that (i) the size distribution of the US firms is approximately log-normal, in agreement with Gibrat's observation (Gibrat 1931), and in contrast (ii) the size distribution of the Japanese firms is clearly not log-normal, and the upper tail of the size distribution follows the Pareto law. It agree with the predictions of the Simon model (Simon 1955). Key words: the size distribution of firms, the Gibrat's law, and the Pareto law

Suggested Citation

  • Taisei Kaizoji & Hiroshi Iyetomi & Yuichi Ikeda, 2005. "Re-examination of the size distribution of firms," Papers physics/0512124, arXiv.org, revised Mar 2006.
  • Handle: RePEc:arx:papers:physics/0512124
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    References listed on IDEAS

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    1. Ijiri, Yuji & Simon, Herbert A, 1974. "Interpretations of Departures from the Pareto Curve Firm-Size Distributions," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 315-331, Part I, M.
    2. Ijiri, Yuji & Simon, Herbert A, 1971. "Effects of Mergers and Acquisitions on Business Firm Concentration," Journal of Political Economy, University of Chicago Press, vol. 79(2), pages 314-322, March-Apr.
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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. 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.
    3. 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.
    4. 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.
    5. Stankov, Petar & Vasilev, Aleksandar, 2015. "What Explains the Diversity of Regulatory Reform Outcomes?," EconStor Research Reports 141915, ZBW - Leibniz Information Centre for Economics.
    6. 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.
    7. Kang, Sang Hoon & Jiang, Zhuhua & Cheong, Chongcheul & Yoon, Seong-Min, 2011. "Changes of firm size distribution: The case of Korea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 319-327.
    8. Kitov, Ivan, 2009. "What is the best firm size to invest?," MPRA Paper 13721, University Library of Munich, Germany.
    9. 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.
    10. Lublóy, Ágnes & Szenes, Márk, 2007. "Az ügyfélelvándorlás kereskedelmi banki modellezése [Modelling the migration of commercial bank clients]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(10), pages 915-934.
    11. Stankov, Petar & Vasilev, Aleksandar, 2019. "Business reform outcomes: Why so different?," Journal of Policy Modeling, Elsevier, vol. 41(6), pages 1109-1127.

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