(Translated by https://www.hiragana.jp/)
A Bayesian Latent Variable Mixture Model for Filtering Firm Profit Rate
IDEAS home Printed from https://ideas.repec.org/p/epa/cepawp/2014-1.html
   My bibliography  Save this paper

A Bayesian Latent Variable Mixture Model for Filtering Firm Profit Rate

Author

Abstract

By using Bayesian Markov chain Monte Carlo methods we select the proper subset of competitive firms and find striking evidence for Laplace shaped firm profit rate distributions. Our approach enables us to extract more information from data than previous research. We filter US firm-level data into signal and noise distributions by Gibbs-sampling from a latent variable mixture distribution, extracting a sharply peaked, negatively skewed Laplace-type profit rate distribution. A Bayesian change point analysis yields the subset of large firms with symmetric and stationary Laplace distributed profit rates, adding to the evidence for statistical equilibrium at the economy wide and sectoral levels.

Suggested Citation

  • Gregor Semieniuk & Ellis Scharfenaker, 2014. "A Bayesian Latent Variable Mixture Model for Filtering Firm Profit Rate," SCEPA working paper series. 2014-1, Schwartz Center for Economic Policy Analysis (SCEPA), The New School.
    • Handle: RePEc:epa:cepawp:2014-1
    as

    Download full text from publisher

    File URL: https://www.economicpolicyresearch.org/images/docs/research/political_economy/SCEPA_Working_Paper_2014-1.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Malevergne, Y. & Saichev, A. & Sornette, D., 2013. "Zipf's law and maximum sustainable growth," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1195-1212.
    2. Geweke, John, 1989. "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, Econometric Society, vol. 57(6), pages 1317-1339, November.
    3. Sergey V. Buldyrev & Jakub Growiec & Fabio Pammolli & Massimo Riccaboni & H. Eugene Stanley, 2007. "The Growth of Business Firms: Facts and Theory," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 574-584, 04-05.
    4. Kloek, Tuen & van Dijk, Herman K, 1978. "Bayesian Estimates of Equation System Parameters: An Application of Integration by Monte Carlo," Econometrica, Econometric Society, vol. 46(1), pages 1-19, January.
    5. Waggoner, Daniel F. & Zha, Tao, 2003. "A Gibbs sampler for structural vector autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 349-366, November.
    6. Lux, Thomas, 2008. "Applications of statistical physics in finance and economics," Kiel Working Papers 1425, Kiel Institute for the World Economy (IfW Kiel).
    7. Bottazzi, Giulio & Dosi, Giovanni & Lippi, Marco & Pammolli, Fabio & Riccaboni, Massimo, 2001. "Innovation and corporate growth in the evolution of the drug industry," International Journal of Industrial Organization, Elsevier, vol. 19(7), pages 1161-1187, July.
    8. Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
    9. Stephen Hymer & Peter Pashigian, 1962. "Firm Size and Rate of Growth," Journal of Political Economy, University of Chicago Press, vol. 70(6), pages 556-556.
    10. Bottazzi, Giulio & Secchi, Angelo, 2003. "Why are distributions of firm growth rates tent-shaped?," Economics Letters, Elsevier, vol. 80(3), pages 415-420, September.
    11. Alfarano, Simone & Milakovic, Mishael, 2008. "Does classical competition explain the statistical features of firm growth?," Economics Letters, Elsevier, vol. 101(3), pages 272-274, December.
    12. Hideo Kozumi & Genya Kobayashi, 2009. "Gibbs Sampling Methods for Bayesian Quantile Regression," Discussion Papers 2009-02, Kobe University, Graduate School of Business Administration.
    13. Giulio Bottazzi & Angelo Secchi, 2003. "Common Properties and Sectoral Specificities in the Dynamics of U.S. Manufacturing Companies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 23(3_4), pages 217-232, December.
    14. Nunes Amaral, Luís A & Buldyrev, Sergey V & Havlin, Shlomo & Maass, Philipp & Salinger, Michael A & Eugene Stanley, H & Stanley, Michael H.R, 1997. "Scaling behavior in economics: The problem of quantifying company growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 1-24.
    15. Koop, G, 1992. "Aggregate Shocks and Macroeconomic Fluctuations: A Bayesian Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(4), pages 395-411, Oct.-Dec..
    16. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    17. Alfarano, Simone & Milaković, Mishael & Irle, Albrecht & Kauschke, Jonas, 2012. "A statistical equilibrium model of competitive firms," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 136-149.
    18. repec:cup:cbooks:9781107013445 is not listed on IDEAS
    19. Farmer, J. Doyne & Lux, Thomas, 2008. "Introduction to special issue on `Applications of Statistical Physics in Economics and Finance'," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 1-6, January.
    20. Erdman, Chandra & Emerson, John W., 2007. "bcp: An R Package for Performing a Bayesian Analysis of Change Point Problems," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 23(i03).
    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. Williams, Michael A. & Baek, Grace & Park, Leslie Y. & Zhao, Wei, 2016. "Global evidence on the distribution of economic profit rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 356-363.
    2. Ellis Scharfenaker & Gregor Semieniuk, 2017. "A Statistical Equilibrium Approach to the Distribution of Profit Rates," Metroeconomica, Wiley Blackwell, vol. 68(3), pages 465-499, July.

    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. Williams, Michael A. & Pinto, Brijesh P. & Park, David, 2015. "Global evidence on the distribution of firm growth rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 102-107.
    2. Ellis Scharfenaker & Gregor Semieniuk, 2017. "A Statistical Equilibrium Approach to the Distribution of Profit Rates," Metroeconomica, Wiley Blackwell, vol. 68(3), pages 465-499, July.
    3. David Vidal-Tomás & Alba Ruiz-Buforn & Omar Blanco-Arroyo & Simone Alfarano, 2022. "A Cross-Sectional Analysis of Growth and Profit Rate Distribution: The Spanish Case," Mathematics, MDPI, vol. 10(6), pages 1-20, March.
    4. Scharfenaker, Ellis & dos Santos, Paulo L., 2015. "The distribution and regulation of Tobin’s q," Economics Letters, Elsevier, vol. 137(C), pages 191-194.
    5. Oh, Ilfan, 2019. "Autonomy of profit rate distribution and its dynamics from firm size measures: A statistical equilibrium approach," BERG Working Paper Series 146, Bamberg University, Bamberg Economic Research Group.
    6. Philipp Mundt & Simone Alfarano & Mishael Milakovic, 2016. "Gibrat’s Law Redux: think profitability instead of growth," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 25(4), pages 549-571.
    7. Giulio Bottazzi & Alex Coad & Nadia Jacoby & Angelo Secchi, 2011. "Corporate growth and industrial dynamics: evidence from French manufacturing," Applied Economics, Taylor & Francis Journals, vol. 43(1), pages 103-116.
    8. Mundt, Philipp & Alfarano, Simone & Milaković, Mishael, 2020. "Exploiting ergodicity in forecasts of corporate profitability," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    9. Giulio Bottazzi & Angelo Secchi, 2006. "Explaining the distribution of firm growth rates," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 235-256, June.
    10. Alex Coad, 2007. "Firm Growth: a Survey," Post-Print halshs-00155762, HAL.
    11. 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.
    12. repec:ebl:ecbull:v:12:y:2008:i:9:p:1-15 is not listed on IDEAS
    13. Charolina CASTALDI & Giovanni Dosi, 2004. "Income Levels and Income Growth: Some New Cross-Country Evidence and some Interpretative Puzzles," DEGIT Conference Papers c009_038, DEGIT, Dynamics, Economic Growth, and International Trade.
    14. Giulio Bottazzi & Angelo Secchi, 2003. "Common Properties and Sectoral Specificities in the Dynamics of U.S. Manufacturing Companies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 23(3), pages 217-232, December.
    15. Jangho Yang, 2018. "Information Theoretic Approaches In Economics," Journal of Economic Surveys, Wiley Blackwell, vol. 32(3), pages 940-960, July.
    16. Matthias Duschl & Thomas Brenner, 2013. "Characteristics of regional industry-specific employment growth rates' distributions," Papers in Regional Science, Wiley Blackwell, vol. 92(2), pages 249-270, June.
    17. Matthias Duschl & Thomas Brenner, 2011. "Characteristics of Regional Industry-specific Employment Growth – Empirical Evidence for Germany," Working Papers on Innovation and Space 2011-07, Philipps University Marburg, Department of Geography.
    18. Lunardi, José T. & Miccichè, Salvatore & Lillo, Fabrizio & Mantegna, Rosario N. & Gallegati, Mauro, 2014. "Do firms share the same functional form of their growth rate distribution? A statistical test," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 140-164.
    19. Arata, Yoshiyuki, 2019. "Firm growth and Laplace distribution: The importance of large jumps," Journal of Economic Dynamics and Control, Elsevier, vol. 103(C), pages 63-82.
    20. Hernan Mondani & Petter Holme & Fredrik Liljeros, 2014. "Fat-Tailed Fluctuations in the Size of Organizations: The Role of Social Influence," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-9, July.
    21. Giorgio Fagiolo & Mauro Napoletano & Andrea Roventini, 2008. "Are output growth-rate distributions fat-tailed? some evidence from OECD countries," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(5), pages 639-669.

    More about this item

    Keywords

    Firm competition; Laplace distribution; Gibbs sampler; Profit rate; Statistical equilibrium;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • D20 - Microeconomics - - Production and Organizations - - - General
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

    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:epa:cepawp:2014-1. 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: Bridget Fisher (email available below). General contact details of provider: https://edirc.repec.org/data/cenewus.html .

    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.