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Exponential environmental productivity index and indicators

Author

Listed:
  • A. Abad

    (University of Perpignan Via Domitia)

  • P. Ravelojaona

    (University of Perpignan Via Domitia)

Abstract

The major contributions of this paper are twofold. First, it introduces an exponential environmental productivity indicator and its ratio-based counterpart constructed through an exponential distance function. These innovative exponential environmental productivity index and indicator inherit the basic structure of both Malmquist-Luenberger productivity index and environmental Luenberger productivity indicator. Thereafter, an exponential version of the environmental Luenberger-Hicks-Moorsteen productivity indicator is proposed. Such a specification allows to overcome the special issue of infeasabilities. Second, looking from a dynamical viewpoint, we propose an exponential generalized dynamical distance function. This new efficiency measure shows the degree of efficiency of an observation, taking into consideration its technical efficiency and/or technological variation adjustment path. A sample of 11 representative French airports is considered over the period 2008–2011, in order to implement these new exponential environmental productivity index and indicators.

Suggested Citation

  • A. Abad & P. Ravelojaona, 2017. "Exponential environmental productivity index and indicators," Journal of Productivity Analysis, Springer, vol. 48(2), pages 147-166, December.
    • Handle: RePEc:kap:jproda:v:48:y:2017:i:2:d:10.1007_s11123-017-0513-7
    DOI: 10.1007/s11123-017-0513-7
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    2. Arnaud Abad & Paola Ravelojaona & Ziyi Shen, 2022. "An exponential analysis of total factor productivity," Working Papers hal-03419905, HAL.
    3. Briec, Walter & Fukuyama, Hirofumi & Ravelojaona, Paola, 2021. "Exponential distance function and duality theory," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1002-1014.
    4. Abad, Arnaud & Briec, Walter, 2019. "On the axiomatic of pollution-generating technologies: Non-parametric production analysis," European Journal of Operational Research, Elsevier, vol. 277(1), pages 377-390.
    5. Arnaud Abad & Paola Ravelojaona, 2021. "Pollution‐adjusted productivity analysis: The use of Malmquist and Luenberger productivity measures," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(3), pages 635-648, April.
    6. Tao, Xiangyang & An, Qingxian & Goh, Mark, 2024. "Plant capacity utilization with piecewise Cobb-Douglas technology: Definition and interpretation," European Journal of Operational Research, Elsevier, vol. 316(3), pages 1034-1043.

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