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The Anatomy of the Firm Size Distribution: The Evolution of its Variance and Skewness

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  • Peter Huber
  • Michael Pfaffermayr
Abstract
The evolution of higher moments of the firm size distribution so far seems to be neglected in the empirical firm growth literature. Based on GMM estimates, this paper introduces simple Wald tests to investigate whether the firm size distribution converges in both the second and third central moment. Using a comprehensive sample of Austrian firms, the estimation results indicate a substantial reduction in both the second and third central moment for the younger age cohorts. This effect is much less pronounced for older firms. Across age cohorts one observes an increase in variance, while the third central moment tends to vanish.

Suggested Citation

  • Peter Huber & Michael Pfaffermayr, 2007. "The Anatomy of the Firm Size Distribution: The Evolution of its Variance and Skewness," WIFO Working Papers 295, WIFO.
  • Handle: RePEc:wfo:wpaper:y:2007:i:295
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    File URL: https://www.wifo.ac.at/wwa/pubid/29340
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    References listed on IDEAS

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    1. Serguei Kaniovski & Michael Peneder, 2008. "Determinants of firm survival: a duration analysis using the generalized gamma distribution," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 35(1), pages 41-58, March.
    2. Ichino, Andrea & Schwerdt, Guido & Winter-Ebmer, Rudolf & Zweimüller, Josef, 2017. "Too old to work, too young to retire?," The Journal of the Economics of Ageing, Elsevier, vol. 9(C), pages 14-29.
    3. Francesca Lotti & Enrico Santarelli, 2004. "Industry Dynamics and the Distribution of Firm Sizes: A Nonparametric Approach," Southern Economic Journal, John Wiley & Sons, vol. 70(3), pages 443-466, January.
    4. Alfred Stiglbauer & Florian Stahl & Rudolf Winter-Ebmer & Josef Zweimüller, 2003. "Job Creation and Job Destruction in a Regulated Labor Market: The Case of Austria," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 30(2), pages 127-148, June.
    5. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    6. Martin Carree & Luuk Klomp, 1997. "Testing The Convergence Hypothesis: A Comment," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 683-686, November.
    7. Luís M B Cabral & José Mata, 2003. "On the Evolution of the Firm Size Distribution: Facts and Theory," American Economic Review, American Economic Association, vol. 93(4), pages 1075-1090, September.
    8. Michael Pfaffermayr, 2007. "Firm Growth Under Sample Selection: Conditional σ-Convergence in Firm Size?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 31(4), pages 303-328, December.
    9. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    10. Francesca Lotti & Enrico Santarelli, 2004. "Industry Dynamics and the Distribution of Firm Sizes: A Nonparametric Approach," Southern Economic Journal, John Wiley & Sons, vol. 70(3), pages 443-466, January.
    11. Peter Hart & Nicholas Oulton, 1999. "Gibrat, Galton and Job Generation," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 6(2), pages 149-164.
    12. Francesca Lotti & Enrico Santarelli, 2001. "Is firm growth proportional? An appraisal of firm size distribution," Economics Bulletin, AccessEcon, vol. 12(6), pages 1-7.
    13. Richardson, Matthew & Smith, Tom, 1993. "A Test for Multivariate Normality in Stock Returns," The Journal of Business, University of Chicago Press, vol. 66(2), pages 295-321, April.
    14. Luís Cabral, 2007. "Small firms in Portugal: a selective survey of stylized facts, economic analysis, and policy implications," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 6(1), pages 65-88, April.
    15. P. A. Geroski, 2005. "Understanding the implications of empirical work on corporate growth rates," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 26(2), pages 129-138.
    16. Cabral, Luis, 1995. "Sunk Costs, Firm Size and Firm Growth," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 161-172, June.
    17. Bottazzi, Giulio & Secchi, Angelo, 2003. "Why are distributions of firm growth rates tent-shaped?," Economics Letters, Elsevier, vol. 80(3), pages 415-420, September.
    18. Jushan Bai & Serena Ng, 2005. "Tests for Skewness, Kurtosis, and Normality for Time Series Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 49-60, January.
    19. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(1), pages 53-82.
    20. repec:nsr:niesrd:77 is not listed on IDEAS
    21. Gian Luca Clementi & Hugo A. Hopenhayn, 2006. "A Theory of Financing Constraints and Firm Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(1), pages 229-265.
    22. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    23. P. Hart, 2000. "Theories of Firms' Growth and the Generation of Jobs," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 17(3), pages 229-248, November.
    24. Matthew F. Mitchell, 2000. "The Scope and Organization of Production: Firm Dynamics Over the Learning Curve," RAND Journal of Economics, The RAND Corporation, vol. 31(1), pages 180-205, Spring.
    25. Hart, Peter E & Oulton, Nicholas, 1996. "Growth and Size of Firms," Economic Journal, Royal Economic Society, vol. 106(438), pages 1242-1252, September.
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    Keywords

    GMM estimation; Growth of firms; Wald test; market concentration; moments of the firm size distribution;
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