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# Superstatistics of Labour Productivity in Manufacturing and Nonmanufacturing Sectors

## Author Info

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

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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File URL: http://arxiv.org/pdf/0901.1500
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## Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 0901.1500.

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Date of creation: Jan 2009
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Handle: RePEc:arx:papers:0901.1500

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Web page: http://arxiv.org/

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## References

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1. Yuichi Ikeda & Wataru Souma, 2008. "International Comparison of Labor Productivity Distribution for Manufacturing and Non-Manufacturing Firms," Papers 0812.0208, arXiv.org, revised Dec 2008.
2. Masanao Aoki, . "Reconstructing Macroeconomics: A Perspective from Statistical Physics and Combinatorial Stochastic Processes," UCLA Economics Online Papers 390, UCLA Department of Economics.
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## Citations

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Cited by:
1. 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.
2. 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.
3. 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.

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