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Statistical Properties of Business Firms Structure and Growth

Author

Listed:
  • Kaushik Matia
  • Dongfeng Fu
  • Sergey V. Buldyrev
  • Fabio Pammolli
  • Massimo Riccaboni
  • H. Eugene Stanley

Abstract

We analyze a database comprising quarterly sales of 55624 pharmaceutical products commercialized by 3939 pharmaceutical firms in the period 1992--2001. We study the probability density function (PDF) of growth in firms and product sales and find that the width of the PDF of growth decays with the sales as a power law with exponent $\beta = 0.20 \pm 0.01$. We also find that the average sales of products scales with the firm sales as a power law with exponent $\alpha = 0.57 \pm 0.02$. And that the average number products of a firm scales with the firm sales as a power law with exponent $\gamma = 0.42 \pm 0.02$. We compare these findings with the predictions of models proposed till date on growth of business firms.

Suggested Citation

  • Kaushik Matia & Dongfeng Fu & Sergey V. Buldyrev & Fabio Pammolli & Massimo Riccaboni & H. Eugene Stanley, 2005. "Statistical Properties of Business Firms Structure and Growth," Papers physics/0502081, arXiv.org.
    • Handle: RePEc:arx:papers:physics/0502081
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    Citations

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    Cited by:

    1. Alex Coad & Christina Guenther, 2013. "Diversification patterns and survival as firms mature," Small Business Economics, Springer, vol. 41(3), pages 633-649, October.
    2. Fu, Dongfeng & Pammolli, Fabio & Buldyrev, Sergey V. & Riccaboni, Massimo & Matia, Kaushik & Yamasaki, Kazuko & Stanley, H. Eugene, 2005. "The Growth of Business Firms: Theoretical Framework and Empirical Evidence," MPRA Paper 15905, University Library of Munich, Germany.
    3. Stanley, H.E. & Gabaix, Xavier & Gopikrishnan, Parameswaran & Plerou, Vasiliki, 2007. "Economic fluctuations and statistical physics: Quantifying extremely rare and less rare events in finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 286-301.
    4. Marco Capasso & Elena Cefis, 2012. "Firm Size and Growth Rate Variance: The Effects of Data Truncation," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 41(3), pages 193-205, November.
    5. Pammolli, Fabio & Fu, Dongfeng & Buldyrev, Sergey V. & Riccaboni, Massimo & Matia, Kaushik & Yamasaki, Kazuko & Stanley, H. Eugene, 2006. "A Generalized Preferential Attachment Model for Business Firms Growth Rates: I. Empirical Evidence," MPRA Paper 15983, University Library of Munich, Germany.
    6. Marco Capasso & Elena Cefis & Alessandro Sapio, 2013. "Reconciling quantile autoregressions of firm size and variance–size scaling," Small Business Economics, Springer, vol. 41(3), pages 609-632, October.
    7. Castaldi, Carolina & Milakovic, Mishael & Secchi, Angelo, 2006. "Scale and technological factors in the diversification structure of business firms," Economics Letters, Elsevier, vol. 91(1), pages 117-121, April.
    8. Alex Coad, 2008. "Firm growth and scaling of growth rate variance in multiplant firms," Economics Bulletin, AccessEcon, vol. 12(9), pages 1-15.
    9. Kaldasch, Joachim, 2011. "Evolutionary model of an anonymous consumer durable market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(14), pages 2692-2715.
    10. Xie, Wen-Jie & Gu, Gao-Feng & Zhou, Wei-Xing, 2010. "On the growth of primary industry and population of China’s counties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3876-3882.
    11. Kaldasch, Joachim, 2012. "Evolutionary model of the growth and size of firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(14), pages 3751-3769.
    12. Ishikawa, Atushi, 2008. "Power-Law and Log-Normal Distributions in Firm Size Displacement Data," Economics Discussion Papers 2008-45, Kiel Institute for the World Economy (IfW Kiel).
    13. Martin Andersson & Börje Johansson, 2012. "Heterogeneous Distributions of Firms Sustained by Innovation Dynamics—A Model with Empirical Illustrations and Analysis," Journal of Industry, Competition and Trade, Springer, vol. 12(2), pages 239-263, June.
    14. Ishikawa, Atushi, 2009. "Power-Law and Log-Normal Distributions in Temporal Changes of Firm-Size Variables," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-25.
    15. Yamasaki, Kazuko & Matia, Kaushik & Buldyrev, Sergey V. & Fu, Dongfeng & Pammolli, Fabio & Riccaboni, Massimo & Stanley, H. Eugene, 2004. "Preferential attachment and growth dynamics in complex systems," MPRA Paper 15908, University Library of Munich, Germany, revised 06 Feb 2006.
    16. Stanley, H. Eugene & Plerou, Vasiliki & Gabaix, Xavier, 2008. "A statistical physics view of financial fluctuations: Evidence for scaling and universality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3967-3981.

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