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Firm size distributions and stochastic growth models: a comparison between ICT and Mechanical Italian Companies

Author

Listed:
  • Piero Ganugi

    (Universitá Cattolica del Sacro Cuore di Piacenza)

  • Luigi Grossi

    (Universitá di Parma)

  • Lisa Crosato

    (Universitá Cattolica del Sacro Cuore di Piacenza)

Abstract

. In this paper we analyze the relationship between the distribution of firm size and stochastic processes of growth. Three main models have been suggested by Gibrat (1931), Kalecki (1945) and Champernowne (1973). The first two lead to lognormal distribution and the last to Pareto distribution. We fitted lognormal and Pareto distribution to two Italian sectors: ICT and mechanical. For ICT we found that lognormal distribution must be rejected and Pareto fits reasonably well to the last 30% of largest companies. For mechanical sector we can not reject lognormal distribution. Furthermore, we perform some experiments to corroborate the theoretical models. By means of transition matrices we found that ICT shows features very close to Gibrat’s and Champernowne’s models, while Kalecki’s model strongly fits to mechanical.

Suggested Citation

  • Piero Ganugi & Luigi Grossi & Lisa Crosato, 2004. "Firm size distributions and stochastic growth models: a comparison between ICT and Mechanical Italian Companies," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 12(3), pages 391-414, February.
    • Handle: RePEc:spr:stmapp:v:12:y:2004:i:3:d:10.1007_s10260-003-0073-z
    DOI: 10.1007/s10260-003-0073-z
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    Cited by:

    1. 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.
    2. P. Ganugi & L. Grossi & G. Gozzi, 2005. "Testing Gibrat's law in Italian macro-regions: Analysis on a panel of mechanical companies," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 14(1), pages 101-126, February.
    3. Anna Maria Fiori, 2020. "On firm size distribution: statistical models, mechanisms, and empirical evidence," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(3), pages 447-482, September.
    4. Cerqueti, Roy & Lupi, Claudio & Pietrovito, Filomena & Pozzolo, Alberto Franco, 2022. "Rank–size distributions for banks: A cross-country analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    5. Crosato, Lisa & Destefanis, Sergio & Ganugi, Piero, 2007. "Technology and Firm Size Distribution:Evidence from Italian Manufacturing," CELPE Discussion Papers 102, CELPE - CEnter for Labor and Political Economics, University of Salerno, Italy.
    6. Junho Na & Jeong-dong Lee & Chulwoo Baek, 2017. "Is the service sector different in size heterogeneity?," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 12(1), pages 95-120, April.

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