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A note on parameterizing input distance functions: does the choice of a functional form matter?

Author

Listed:
  • Rolf Färe
  • Michael Vardanyan

    (LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - ULCO - Université du Littoral Côte d'Opale - Université de Lille - CNRS - Centre National de la Recherche Scientifique)

Abstract

We use a Monte Carlo experiment to compare the quadratic and translog functional forms in terms of their ability to approximate known frontiers that possess convex curvature. Unlike some of the existing simulation studies that have studied this topic, we find that both functional forms provide a reliable approximation to a true frontier. Our results lend support to existing explanations concerning the translog form’s innate propensity to yield convex, rather than concave, frontier estimates.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Rolf Färe & Michael Vardanyan, 2016. "A note on parameterizing input distance functions: does the choice of a functional form matter?," Post-Print hal-01744488, HAL.
    • Handle: RePEc:hal:journl:hal-01744488
    DOI: 10.1007/s11123-015-0448-9
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    Cited by:

    1. Mydland, Ørjan & Kumbhakar, Subal C. & Lien, Gudbrand & Amundsveen, Roar & Kvile, Hilde Marit, 2020. "Economies of scope and scale in the Norwegian electricity industry," Economic Modelling, Elsevier, vol. 88(C), pages 39-46.
    2. Vardanyan, Michael & Valdmanis, Vivian G. & Leleu, Hervé & Ferrier, Gary D., 2022. "Estimating technology characteristics of the U.S. hospital industry using directional distance functions with optimal directions," Omega, Elsevier, vol. 113(C).
    3. Jindal, Abhinav & Nilakantan, Rahul & Sinha, Avik, 2024. "CO2 emissions abatement costs and drivers for Indian thermal power industry," Energy Policy, Elsevier, vol. 184(C).
    4. Riera, Félix Sebastián & Brümmer, Bernhard, 2022. "Environmental efficiency of wine grape production in Mendoza, Argentina," Agricultural Water Management, Elsevier, vol. 262(C).
    5. Layer, Kevin & Johnson, Andrew L. & Sickles, Robin C. & Ferrier, Gary D., 2020. "Direction selection in stochastic directional distance functions," European Journal of Operational Research, Elsevier, vol. 280(1), pages 351-364.
    6. Ang, Frederic & Kerstens, Pieter Jan, 2020. "A superlative indicator for the Luenberger-Hicks-Moorsteen productivity indicator: Theory and application," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1161-1173.

    More about this item

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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