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Generalized quadratic revenue functions

Author

Listed:
  • R. Chambers
  • R. Fare
  • S. Grosskopf
  • M. Vardanyan

    (LEM - Lille - Economie et Management - Université de Lille, Sciences et Technologies - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper we focus on the specification of revenue functions in their dual price space. We consider two distance functions–the Shephard output distance function and the directional output distance function–and define both in price space. The former is multiplicative in nature and satisfies homogeneity, whereas the latter is additive and satisfies the translation property. Functional equation methods yield the translog specification in the case of the Shephard distance function and a quadratic specification in the case of the directional distance function. Monte Carlo evidence suggests that the quadratic specification outperforms the translog in large samples and in true models with plenty of curvature.
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Suggested Citation

  • R. Chambers & R. Fare & S. Grosskopf & M. Vardanyan, 2013. "Generalized quadratic revenue functions," Post-Print hal-00840152, HAL.
    • Handle: RePEc:hal:journl:hal-00840152
    DOI: 10.1016/j.jeconom.2012.09.005
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    Cited by:

    1. Scott E. Atkinson & Kamalini Ramdas & Jonathan W. Williams, 2016. "Robust Scheduling Practices in the U.S. Airline Industry: Costs, Returns, and Inefficiencies," Management Science, INFORMS, vol. 62(11), pages 3372-3391, November.
    2. Debdatta Pal & Subrata K. Mitra, 2018. "The efficiency of microfinance institutions with problem loans: A directional distance function approach," Computational and Mathematical Organization Theory, Springer, vol. 24(3), pages 285-307, September.
    3. Rolf Färe & Michael Vardanyan, 2016. "A note on parameterizing input distance functions: does the choice of a functional form matter?," Journal of Productivity Analysis, Springer, vol. 45(2), pages 121-130, April.
    4. Mateus De Carvalho Reis Neves & Mateus De Carvalho Reis Neves & Felipe De Figueiredo Silva & Carlos Otávio Freitas & Marcelo José Braga, 2018. "The Shadow Price Of Cooperative Membership On Agriculture In The Brazilian South And Southeast Regions," Anais do XLIV Encontro Nacional de Economia [Proceedings of the 44th Brazilian Economics Meeting] 191, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    5. Gary D. Ferrier & Hervé Leleu & Vivian G. Valdmanis & Michael Vardanyan, 2018. "A directional distance function approach for identifying the input/output status of medical residents," Applied Economics, Taylor & Francis Journals, vol. 50(9), pages 1006-1021, February.
    6. 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.
    7. Färe, Rolf & Pasurka, Carl & Vardanyan, Michael, 2017. "On endogenizing direction vectors in parametric directional distance function-based models," European Journal of Operational Research, Elsevier, vol. 262(1), pages 361-369.
    8. Neves, Mateus C R & Silva, Felipe & Freitas, Carlos Otávio & Braga, Marcelo J., "undated". "The impact of Cooperative Membership on farm income," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 259196, Agricultural and Applied Economics Association.
    9. 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).
    10. Czekaj, Tomasz G., 2015. "Measuring the Technical Efficiency of Farms Producing Environmental Output: Semiparametric Estimation of Multi-output Stochastic Ray Production Frontiers," 2015 Conference, August 9-14, 2015, Milan, Italy 211555, International Association of Agricultural Economists.
    11. Deng, Zhongqi & Jiang, Nan & Pang, Ruizhi, 2021. "Factor-analysis-based directional distance function: The case of New Zealand hospitals," Omega, Elsevier, vol. 98(C).
    12. Du, Limin & Lu, Yunguo & Ma, Chunbo, 2022. "Carbon efficiency and abatement cost of China's coal-fired power plants," Technological Forecasting and Social Change, Elsevier, vol. 175(C).
    13. Jindal, Abhinav & Nilakantan, Rahul & Sinha, Avik, 2024. "CO2 emissions abatement costs and drivers for Indian thermal power industry," Energy Policy, Elsevier, vol. 184(C).
    14. Carlos Otávio De Freitas & Felipe De Figueiredo Silva & Mateus De Carvalho Reis Neves & Marcelo José Braga, 2018. "Technical Assistance Support Effect On Brazilian Agricultural Performance," Anais do XLIV Encontro Nacional de Economia [Proceedings of the 44th Brazilian Economics Meeting] 188, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    15. Tomasz Gerard Czekaj, 2013. "Measuring the Technical Efficiency of Farms Producing Environmental Output: Parametric and Semiparametric Estimation of Multi-output Stochastic Ray Production Frontiers," IFRO Working Paper 2013/21, University of Copenhagen, Department of Food and Resource Economics.
    16. Levent Kutlu & Shasha Liu & Robin C. Sickles, 2022. "Cost, Revenue, and Profit Function Estimates," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 16, pages 641-679, Springer.
    17. 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.
    18. Jorge Bonilla & Jessica Coria & Thomas Sterner, 2018. "Technical Synergies and Trade-Offs Between Abatement of Global and Local Air Pollution," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(1), pages 191-221, May.
    19. Deng, Zhongqi & Song, Shunfeng & Jiang, Nan & Pang, Ruizhi, 2023. "Sustainable development in China? A nonparametric decomposition of economic growth," China Economic Review, Elsevier, vol. 81(C).

    More about this item

    JEL classification:

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

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