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Superstatistics of Labour Productivity in Manufacturing and Nonmanufacturing Sectors


  • Hideaki Aoyama
  • Yoshi Fujiwara
  • Yuichi Ikeda
  • Hiroshi Iyetomi
  • Wataru Souma


Labour productivity distribution (dispersion) is studied both theoretically and empirically. Superstatistics is presented as a natural theoretical framework for productivity. The demand index $\kappa$ is proposed within this framework as a new business index. Japanese productivity data covering small-to-medium to large firms from 1996 to 2006 is analyzed and the power-law for both firms and workers is established. The demand index $\kappa$ is evaluated in the manufacturing sector. A new discovery is reported for the nonmanufacturing (service) sector, which calls for expansion of the superstatistics framework to negative temperature range.

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  • Hideaki Aoyama & Yoshi Fujiwara & Yuichi Ikeda & Hiroshi Iyetomi & Wataru Souma, 2009. "Superstatistics of Labour Productivity in Manufacturing and Nonmanufacturing Sectors," Papers 0901.1500,
  • Handle: RePEc:arx:papers:0901.1500

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    References listed on IDEAS

    1. Masanao Aoki, "undated". "Reconstructing Macroeconomics: A Perspective from Statistical Physics and Combinatorial Stochastic Processes," UCLA Economics Online Papers 390, UCLA Department of Economics.
    2. Yuichi Ikeda & Wataru Souma, 2008. "International Comparison of Labor Productivity Distribution for Manufacturing and Non-Manufacturing Firms," Papers 0812.0208,, revised Dec 2008.
    3. Aoki,Masanao & Yoshikawa,Hiroshi, 2007. "Reconstructing Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521831062, May.
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    Cited by:

    1. Aoki, Masanao & Hawkins, Raymond J., 2010. "Non-self-averaging and the statistical mechanics of endogenous macroeconomic fluctuations," Economic Modelling, Elsevier, vol. 27(6), pages 1543-1546, November.
    2. Hideaki Aoyama & Hiroshi Iyetomi & Hiroshi Yoshikawa, 2015. "Equilibrium distribution of labor productivity: a theoretical model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 57-66, April.
    3. Hawkins, Raymond J. & Aoki, Masanao & Roy Frieden, B., 2010. "Asymmetric information and macroeconomic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3565-3571.
    4. Souma, Wataru & Ikeda, Yuichi & Iyetomi, Hiroshi & Fujiwara, Yoshi, 2009. "Distribution of Labour Productivity in Japan over the Period 1996--2006," Economics Discussion Papers 2009-2, Kiel Institute for the World Economy (IfW).

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