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A global robustness measure for input-output projections from ESA and SNA tables

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  • Reiner Wolff

Abstract

Input-output (interindustry) data are in wide use in empirical research and constitute an integral part of the European System of Accounts (ESA) and of the System of National Accounts (SNA). In a strict sense, however, these data are merely estimates of the true economic relationships. Therefore, we suggest a measure of robustness of input-output projections with respect to errors or changes in the underlying Leontief matrix. Our measure is based on the mathematical theory of norms and characterizes a complete Leontief matrix. Thereby, no assumptions are required on the distribution of the matrix elements. We discuss alternative numerical-computing algorithms and provide useful bounds and approximation formulas. The paper concludes with a large set of empirical sample applications.

Suggested Citation

  • Reiner Wolff, 2005. "A global robustness measure for input-output projections from ESA and SNA tables," Economic Systems Research, Taylor & Francis Journals, vol. 17(1), pages 77-93.
  • Handle: RePEc:taf:ecsysr:v:17:y:2005:i:1:p:77-93
    DOI: 10.1080/09535310500034341
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    References listed on IDEAS

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    1. Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985, November.
    2. Donald Gilchrist & Larry V. ST Louis, 1999. "Completing Input-Output Tables using Partial Information, with an Application to Canadian Data," Economic Systems Research, Taylor & Francis Journals, vol. 11(2), pages 185-194.
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    4. Hazari, Bharat R, 1970. "Empirical Identification of Key Sectors in the Indian Economy," The Review of Economics and Statistics, MIT Press, vol. 52(3), pages 301-305, August.
    5. Hazari, Bharat R & Krishnamurty, J, 1970. "Employment Implications of India's Industrialization: Analysis in an Input Output Framework," The Review of Economics and Statistics, MIT Press, vol. 52(2), pages 181-186, May.
    6. Rohn, Jiri, 1980. "Input-Output Model with Interval Data," Econometrica, Econometric Society, vol. 48(3), pages 767-769, April.
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    Cited by:

    1. Malcolm Beynon & Max Munday & Annette Roberts, 2005. "Ranking sectors using fuzzy output multipliers," Economic Systems Research, Taylor & Francis Journals, vol. 17(3), pages 237-253.
    2. Umed Temurshoev, 2015. "Uncertainty treatment in input-output analysis," Working Papers 2015-004, Universidad Loyola Andalucía, Department of Economics.
    3. Marco Percoco & Geoffrey Hewings & Lanfranco Senn, 2006. "Structural change decomposition through a global sensitivity analysis of input-output models," Economic Systems Research, Taylor & Francis Journals, vol. 18(2), pages 115-131.
    4. João C. Lopes & João Dias & João F. Amaral, 2012. "Assessing economic complexity as interindustry connectedness in nine OECD countries," International Review of Applied Economics, Taylor & Francis Journals, vol. 26(6), pages 811-827, January.

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