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Maximum likelihood estimation of the revenue function system with output-specific technical efficiency

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  • Kumbhakar, Subal C.
  • Lai, Hung-pin

Abstract

In this paper we propose a non-radial and output-specific measure of technical efficiency which is new in a stochastic frontier model. We consider a multi-output multi-input transformation function formulation that incorporates output-specific technical efficiency (OSTE) in a revenue maximizing framework. Starting from the dual revenue function with OSTE, we develop the maximum likelihood method to estimate the parameters of the translog revenue-share system as well as predict OSTE components using some novel results from the closed skew-normal distribution.

Suggested Citation

  • Kumbhakar, Subal C. & Lai, Hung-pin, 2016. "Maximum likelihood estimation of the revenue function system with output-specific technical efficiency," Economics Letters, Elsevier, vol. 138(C), pages 42-45.
    • Handle: RePEc:eee:ecolet:v:138:y:2016:i:c:p:42-45
    DOI: 10.1016/j.econlet.2015.11.021
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    References listed on IDEAS

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    1. Roberto Colombi & Subal Kumbhakar & Gianmaria Martini & Giorgio Vittadini, 2014. "Closed-skew normality in stochastic frontiers with individual effects and long/short-run efficiency," Journal of Productivity Analysis, Springer, vol. 42(2), pages 123-136, October.
    2. Simar, Léopold & Vanhems, Anne, 2012. "Probabilistic characterization of directional distances and their robust versions," Journal of Econometrics, Elsevier, vol. 166(2), pages 342-354.
    3. Simar, Léopold & Vanhems, Anne & Wilson, Paul W., 2012. "Statistical inference for DEA estimators of directional distances," European Journal of Operational Research, Elsevier, vol. 220(3), pages 853-864.
    4. Subal C. Kumbhakar & Efthymios G. Tsionas, 2011. "Stochastic error specification in primal and dual production systems," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(2), pages 270-297, March.
    5. Murphy, Kevin M & Topel, Robert H, 2002. "Estimation and Inference in Two-Step Econometric Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 88-97, January.
    6. Kumbhakar,Subal C. & Wang,Hung-Jen & Horncastle,Alan P., 2015. "A Practitioner's Guide to Stochastic Frontier Analysis Using Stata," Cambridge Books, Cambridge University Press, number 9781107029514.
    7. Chen, Yi-Yi & Schmidt, Peter & Wang, Hung-Jen, 2014. "Consistent estimation of the fixed effects stochastic frontier model," Journal of Econometrics, Elsevier, vol. 181(2), pages 65-76.
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    Citations

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    Cited by:

    1. Reinaldo B. Arellano-Valle & Adelchi Azzalini, 2022. "Some properties of the unified skew-normal distribution," Statistical Papers, Springer, vol. 63(2), pages 461-487, April.
    2. Tsionas, Mike G., 2017. "The profit function system with output- and input-specific technical efficiency," Economics Letters, Elsevier, vol. 151(C), pages 111-114.
    3. Badunenko, Oleg & Kumbhakar, Subal C., 2017. "Economies of scale, technical change and persistent and time-varying cost efficiency in Indian banking: Do ownership, regulation and heterogeneity matter?," European Journal of Operational Research, Elsevier, vol. 260(2), pages 789-803.
    4. 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.
    5. Yu, Yang & Fan, Linlin, 2021. "How Does Supplemental Nutrition Assistance Program Affect Household Food Waste?," 2021 Annual Meeting, August 1-3, Austin, Texas 313984, Agricultural and Applied Economics Association.

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    More about this item

    Keywords

    Transformation function; Stochastic frontier; Technical inefficiency; Closed skew-normal distribution;
    All these keywords.

    JEL classification:

    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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