IDEAS home Printed from https://ideas.repec.org/p/jrp/jrpwrp/2008-072.html
   My bibliography  Save this paper

The exponential age distribution and the Pareto firm size distribution

Author

Listed:
  • Alex Coad

    (Max Planck Institute of Economics, Jena, Germany)

Abstract

Recent work drawing on data for large and small firms has shown a Pareto distribution of firm size. We mix a Gibrat-type growth process among incumbents with an exponential distribution of firm's age, to obtain the empirical Pareto distribution.

Suggested Citation

  • Alex Coad, 2008. "The exponential age distribution and the Pareto firm size distribution," Jena Economics Research Papers 2008-072, Friedrich-Schiller-University Jena.
  • Handle: RePEc:jrp:jrpwrp:2008-072
    as

    Download full text from publisher

    File URL: https://oweb.b67.uni-jena.de/Papers/jerp2008/wp_2008_072.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Alex Coad, 2009. "The Growth of Firms," Books, Edward Elgar Publishing, number 13424.
    2. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    3. Ramsden, J.J. & Kiss-Haypál, Gy., 2000. "Company size distribution in different countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 220-227.
    4. Alexander Coad & Jagannadha Pawan Tamvada, 2008. "The Growth and Decline of Small firms In Developing Countries," Papers on Economics and Evolution 2008-08, Philipps University Marburg, Department of Geography.
    5. Bernardo A. Huberman & Lada A. Adamic, 1999. "Growth dynamics of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 131-131, September.
    6. Gaffeo, Edoardo & Gallegati, Mauro & Palestrini, Antonio, 2003. "On the size distribution of firms: additional evidence from the G7 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 117-123.
    7. Bernardo A. Huberman & Lada A. Adamic, 1999. "The Nature of Markets in the World Wide Web," Computing in Economics and Finance 1999 521, Society for Computational Economics.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Coad, Alex, 2010. "Investigating the exponential age distribution of firms," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 4, pages 1-30.
    2. 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).
    3. Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno & Tsutomu Watanabe, 2017. "Dependence of the decay rate of firm activities on firm age," Evolutionary and Institutional Economics Review, Springer, vol. 14(2), pages 351-362, December.
    4. Juan Manuel Torres Rojo & David B. Bray & Octavio S. Magaña, 2008. "The Role of Scale in Mexican Community Forest Management," Working Papers DTE 451, CIDE, División de Economía.
    5. 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.
    6. Hernández-Pérez, R. & Angulo-Brown, F. & Tun, Dionisio, 2006. "Company size distribution for developing countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 607-618.
    7. Pascoal, Rui & Augusto, Mário & Monteiro, A.M., 2016. "Size distribution of Portuguese firms between 2006 and 2012," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 342-355.
    8. Ciola, Emanuele & Turco, Enrico & Gurgone, Andrea & Bazzana, Davide & Vergalli, Sergio & Menoncin, Francesco, 2023. "Enter the MATRIX model:a Multi-Agent model for Transition Risks with application to energy shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    9. Jakub Growiec & Fabio Pammolli & Massimo Riccaboni, 2020. "Innovation and Corporate Dynamics: A Theoretical Framework," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 12(1), pages 1-45, March.
    10. Wright, Ian, 2009. "Implicit Microfoundations for Macroeconomics," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-27.
    11. Fujimoto, Shouji & Ishikawa, Atushi & Mizuno, Takayuki & Watanabe, Tsutomu, 2011. "A new method for measuring tail exponents of firm size distributions," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 5, pages 1-20.
    12. Sandra M. Leitner, 2015. "Firm growth and financing constraints in the NMS-10 and the Western Balkan countries – a comparative analysis," wiiw Balkan Observatory Working Papers 115, The Vienna Institute for International Economic Studies, wiiw.
    13. Fujimoto, S. & Ishikawa, A. & Mizuno, T. & Watanabe, T. & 渡辺, 努 & ワタナベ, ツトム, 2011. "A New Method for Measuring Tail Exponents of Firm Size Distributions," Working Paper Series 7, Center for Interfirm Network, Institute of Economic Research, Hitotsubashi University.
    14. Palestrini, Antonio, 2007. "Analysis of industrial dynamics: A note on the relationship between firms' size and growth rate," Economics Letters, Elsevier, vol. 94(3), pages 367-371, March.
    15. Pascoal, Rui & Augusto, Mário & Monteiro, A.M., 2016. "Size distribution of Portuguese firms between 2006 and 2012," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 342-355.
    16. Ji, Guseon & Dai, Bingcun & Park, Sung-Pil & Ahn, Kwangwon, 2020. "The origin of collective phenomena in firm sizes," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    17. Musa, Hussam & Krištofík, Peter & Medzihorský, Juraj & Klieštik, Tomáš, 2024. "The development of firm size distribution – Evidence from four Central European countries," International Review of Economics & Finance, Elsevier, vol. 91(C), pages 98-110.
    18. Fujimoto, Shouji & Ishikawa, Atushi & Mizuno, Takayuki & Watanabe, Tsutomu, 2011. "A new method for measuring tail exponents of firm size distributions," Economics Discussion Papers 2011-29, Kiel Institute for the World Economy (IfW Kiel).
    19. Michael P Cameron, 2022. "Zipf's Law across social media," Working Papers in Economics 22/07, University of Waikato.
    20. Ying Fan & Menghui Li & Zengru Di, 2004. "Increasing Returns to Scale, Dynamics of Industrial Structure and Size Distribution of Firms," Papers cond-mat/0407383, arXiv.org.

    More about this item

    Keywords

    Firm size distribution; Firm growth; Gibrat's Law; Pareto distribution; Zipf Law;
    All these keywords.

    JEL classification:

    • L20 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - General
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:jrp:jrpwrp:2008-072. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Markus Pasche (email available below). General contact details of provider: http://www.jenecon.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.