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Radial and directional measures of the rate of technical change

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  • Rolf Färe
  • Giannis Karagiannis

Abstract

In this paper we develop radial and directional measures of the rate of technical change for the class of directional distance functions. For both types, we distinguish between primal and dual measures while the former are further divided into oriented (input- and output-based) and non-oriented. We highlight the pivotal role of translation elasticity in examining the interrelationships among the alternative directional measures and that of scale elasticity in the case of radial measures. We also show that the radial and directional measures are related one another through the normalized (with the value of the direction vector) dual functions. Copyright Springer-Verlag Wien 2014

Suggested Citation

  • Rolf Färe & Giannis Karagiannis, 2014. "Radial and directional measures of the rate of technical change," Journal of Economics, Springer, vol. 112(2), pages 183-199, June.
    • Handle: RePEc:kap:jeczfn:v:112:y:2014:i:2:p:183-199
    DOI: 10.1007/s00712-013-0344-6
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    References listed on IDEAS

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    Cited by:

    1. Rolf Färe & Giannis Karagiannis, 2023. "Translation efficiency and directionally optimal scale," Journal of Economics, Springer, vol. 140(3), pages 259-273, December.
    2. Felipe Figueiredo Silva & Lilyan E. Fulginiti & Richard K. Perrin & Marcelo Jose Braga, 2022. "The increasing opportunity cost of sequestering CO2 in the Brazilian Amazon forest," Empirical Economics, Springer, vol. 62(2), pages 439-460, February.
    3. Silva, F.D.F. & Fulginiti, L. & Perrin, R., 2018. "Agricultural productivity and forest preservation in the Brazilian Amazon," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277167, International Association of Agricultural Economists.
    4. Silva, Felipe & Fulginiti, Lilyan E. & Perrin, Richard K., 2016. "Did technical change in agricultural production decrease the emission of pollutants on the Amazon Forest during 1990-2009?," 2016 Annual Meeting, February 6-9, 2016, San Antonio, Texas 230092, Southern Agricultural Economics Association.
    5. Pang, Rui-Zhi & Deng, Zhong-Qi & Hu, Jin-li, 2015. "Clean energy use and total-factor efficiencies: An international comparison," Renewable and Sustainable Energy Reviews, Elsevier, vol. 52(C), pages 1158-1171.

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    More about this item

    Keywords

    Rate of technical change; Directional distance functions; D21; D24;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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