IDEAS home Printed from https://ideas.repec.org/p/hit/cinwps/7.html
   My bibliography  Save this paper

A New Method for Measuring Tail Exponents of Firm Size Distributions

Author

Listed:
  • Fujimoto, S.
  • Ishikawa, A.
  • Mizuno, T.
  • Watanabe, T.

Abstract

We propose a new method for estimating the power-law exponents of firm size variables. Our focus is on how to empirically identify a range in which a firm size variable follows a power-law distribution. As is well known, a firm size variable follows a power-law distribution only beyond some threshold. On the other hand, in almost all empirical exercises, the right end part of a distribution deviates from a power-law due to finite size effect. We modify the method proposed by Malevergne et al. (2011) so that we can identify both of the lower and the upper thresholds and then estimate the power-law exponent using observations only in the range defined by the two thresholds. We apply this new method to various firm size variables, including annual sales, the number of workers, and tangible fixed assets for firms in more than thirty countries.

Suggested Citation

  • Fujimoto, S. & Ishikawa, A. & Mizuno, T. & Watanabe, T., 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.
  • Handle: RePEc:hit:cinwps:7
    as

    Download full text from publisher

    File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/19227/4/ifn_wp007.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Hisano, Ryohei & Mizuno, Takayuki, 2011. "Sales distribution of consumer electronics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 309-318.
    2. 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.
    3. Fujiwara, Yoshi & Di Guilmi, Corrado & Aoyama, Hideaki & Gallegati, Mauro & Souma, Wataru, 2004. "Do Pareto–Zipf and Gibrat laws hold true? An analysis with European firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 197-216.
    4. Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Takayuki Mizuno & Takaaki Ohnishi & Tsutomu Watanabe, 2016. "Power laws in market capitalization during the Dot-com and Shanghai bubble periods," UTokyo Price Project Working Paper Series 070, University of Tokyo, Graduate School of Economics.
    2. Heinrich, Torsten & Dai, Shuanping, 2016. "Diversity of firm sizes, complexity, and industry structure in the Chinese economy," Structural Change and Economic Dynamics, Elsevier, vol. 37(C), pages 90-106.
    3. repec:spr:jeicoo:v:12:y:2017:i:1:d:10.1007_s11403-015-0152-x is not listed on IDEAS
    4. Takayuki Mizuno & Takaaki Ohnishi & Tsutomu Watanabe, 2016. "Power laws in market capitalization during the Dot-com and Shanghai bubble periods," CARF F-Series CARF-F-392, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    5. Mizuno, Takayuki & Ohnishi, Takaaki & Watanabe, Tsutomu, 2016. "Power law in market capitalization during Dot-com and Shanghai bubble periods," HIT-REFINED Working Paper Series 60, Institute of Economic Research, Hitotsubashi University.
    6. repec:zbw:ifweej:201831 is not listed on IDEAS
    7. Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.

    More about this item

    Keywords

    Econophysics; power-law distributions; power-law exponents; firm size variables; finite size effect;

    JEL classification:

    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • D20 - Microeconomics - - Production and Organizations - - - General
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production

    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:hit:cinwps:7. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Digital Resources Section, Hitotsubashi University Library). General contact details of provider: http://edirc.repec.org/data/cnhitjp.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.