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An analysis of the size distribution of Italian firms by age

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  • Cirillo, Pasquale

Abstract

In this paper we analyze the size distribution of Italian firms by age. In other words, we want to establish whether the way that the size of firms is distributed varies as firms become old. As a proxy of size we use capital. In [L.M.B. Cabral, J. Mata, On the evolution of the firm size distribution: Facts and theory, American Economic Review 93 (2003) 1075–1090], the authors study the distribution of Portuguese firms and they find out that, while the size distribution of all firms is fairly stable over time, the distributions of firms by age groups are appreciably different. In particular, as the age of the firms increases, their size distribution on the log scale shifts to the right, the left tails becomes thinner and the right tail thicker, with a clear decrease of the skewness. In this paper, we perform a similar analysis with Italian firms using the CEBI database, also considering firms’ growth rates. Although there are several papers dealing with Italian firms and their size distribution, to our knowledge a similar study concerning size and age has not been performed yet for Italy, especially with such a big panel.

Suggested Citation

  • Cirillo, Pasquale, 2010. "An analysis of the size distribution of Italian firms by age," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 459-466.
  • Handle: RePEc:eee:phsmap:v:389:y:2010:i:3:p:459-466
    DOI: 10.1016/j.physa.2009.09.049
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    References listed on IDEAS

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    1. Bottazzi, Giulio, 2009. "On the irreconcilability of Pareto and Gibrat laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1133-1136.
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    6. L. A. N. Amaral & S. V. Buldyrev & S. Havlin & H. Leschhorn & P. Maass & M. A. Salinger & H. E. Stanley & M. H. R. Stanley, 1997. "Scaling behavior in economics: I. Empirical results for company growth," Papers cond-mat/9702082, arXiv.org.
    7. Giulio Bottazzi & Elena Cefis & Giovanni Dosi, 2002. "Corporate growth and industrial structures: some evidence from the Italian manufacturing industry," Industrial and Corporate Change, Oxford University Press, vol. 11(4), pages 705-723, August.
    8. 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.
    9. Clementi, F. & Di Matteo, T. & Gallegati, M. & Kaniadakis, G., 2008. "The κ-generalized distribution: A new descriptive model for the size distribution of incomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3201-3208.
    10. Esteban, Joan M, 1986. "Income-Share Elasticity and the Size Distribution of Income," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(2), pages 439-444, June.
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    Cited by:

    1. Marko Petrovic & Andrea Teglio & Simone Alfarano, 2016. "The role of bank credit allocation: Evidence from the Spanish economy," Working Papers 2016/17, Economics Department, Universitat Jaume I, Castellón (Spain).
    2. Einar Erlingsson & Simone Alfarano & Marco Raberto & Hlynur Stefánsson, 2013. "On the distributional properties of size, profit and growth of Icelandic firms," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 8(1), pages 57-74, April.
    3. Antonio Palestrini, 2015. "Firm Size Distribution and the Survival Bias," Economics Bulletin, AccessEcon, vol. 35(3), pages 1630-1637.
    4. repec:spr:joevec:v:28:y:2018:i:1:d:10.1007_s00191-016-0486-0 is not listed on IDEAS
    5. Coad, Alex & Segarra, Agustí & Teruel, Mercedes, 2013. "Like milk or wine: Does firm performance improve with age?," Structural Change and Economic Dynamics, Elsevier, vol. 24(C), pages 173-189.
    6. repec:spr:jeicoo:v:12:y:2017:i:1:d:10.1007_s11403-015-0152-x is not listed on IDEAS
    7. Hernández-Pérez, R., 2010. "An analogy of the size distribution of business firms with Bose–Einstein statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3837-3843.
    8. Pasquale Cirillo & Mauro Gallegati, 2012. "The Empirical Validation of an Agent-based Model," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 38(4), pages 525-547.

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