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# Statistical Properties of Business Firms Structure and Growth

## Author Info

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

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File URL: http://arxiv.org/pdf/physics/0502081
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## Bibliographic Info

Paper provided by arXiv.org in its series Papers with number physics/0502081.

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Date of creation: Feb 2005
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Publication status: Published in Europhys Lett 67 (3): 498-503 (2004)
Handle: RePEc:arx:papers:physics/0502081

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## Citations

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Cited by:
1. Fabio Pammolli & Dongfeng Fu & S. V. Buldyrev & Massimo Riccaboni & Kaushik Matia & Kazuko Yamasaki & H. E. Stanley, 2006. "A Generalized Preferential Attachment Model for Business Firms Growth Rates: I. Empirical Evidence," Papers physics/0609011, arXiv.org.
2. Alex Coad, 2007. "Firm Growth and Scaling of Growth Rate Variance in Multiplant Firms," Jena Economic Research Papers 2007-101, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
3. Dongfeng Fu & Fabio Pammolli & S. V. Buldyrev & Massimo Riccaboni & Kaushik Matia & Kazuko Yamasaki & H. E. Stanley, 2005. "The Growth of Business Firms: Theoretical Framework and Empirical Evidence," Papers physics/0512005, arXiv.org.
4. Ishikawa, Atushi, 2009. "Power-Law and Log-Normal Distributions in Temporal Changes of Firm-Size Variables," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 3(11), pages 1-25.
5. 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.
6. 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.
7. 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.

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