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Pseudolikelihood estimation of the stochastic frontier model

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  • Andor, Mark
  • Parmeter, Christopher

Abstract

Stochastic frontier analysis is a popular tool to assess firm performance. Almost universally it has been applied using maximum likelihood estimation. An alternative approach, pseudolikelihood estimation, decouples estimation of the error component structure and the production frontier, has been adopted in both the nonparametric and panel data settings. To date, no formal comparison has yet to be conducted comparing these methods in a standard, parametric cross sectional framework. We produce a comparison of these two competing methods using Monte Carlo simulations. Our results indicate that pseudolikelihood estimation enjoys almost identical performance to maximum likelihood estimation across a range of scenarios and performance metrics, and for certain metrics outperforms maximum likelihood estimation when the distribution of inefficiency is incorrectly specied.

Suggested Citation

  • Andor, Mark & Parmeter, Christopher, 2017. "Pseudolikelihood estimation of the stochastic frontier model," Ruhr Economic Papers 693, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    • Handle: RePEc:zbw:rwirep:693
    DOI: 10.4419/86788804
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    18. Christopher Parmeter & Kai Sun & Daniel Henderson & Subal Kumbhakar, 2014. "Estimation and inference under economic restrictions," Journal of Productivity Analysis, Springer, vol. 41(1), pages 111-129, February.
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    1. Recommended Reading for October
      by Dave Giles in Econometrics Beat: Dave Giles' Blog on 2017-10-04 23:08:00

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    Cited by:

    1. Kumbhakar, Subal C. & Peresetsky, Anatoly & Shchetynin, Yevgenii & Zaytsev, Alexey, 2020. "Technical efficiency and inefficiency: Reassurance of standard SFA models and a misspecification problem," MPRA Paper 102797, University Library of Munich, Germany.
    2. Mark A. Andor & David H. Bernstein & Stephan Sommer, 2021. "Determining the efficiency of residential electricity consumption," Empirical Economics, Springer, vol. 60(6), pages 2897-2923, June.
    3. Andor, Mark A. & Parmeter, Christopher & Sommer, Stephan, 2019. "Combining uncertainty with uncertainty to get certainty? Efficiency analysis for regulation purposes," European Journal of Operational Research, Elsevier, vol. 274(1), pages 240-252.
    4. Ahn, Heinz & Clermont, Marcel & Langner, Julia, 2023. "Comparative performance analysis of frontier-based efficiency measurement methods – A Monte Carlo simulation," European Journal of Operational Research, Elsevier, vol. 307(1), pages 294-312.
    5. José Luis Preciado Arreola & Daisuke Yagi & Andrew L. Johnson, 2020. "Insights from machine learning for evaluating production function estimators on manufacturing survey data," Journal of Productivity Analysis, Springer, vol. 53(2), pages 181-225, April.
    6. Christopher F. Parmeter & Valentin Zelenyuk, 2019. "Combining the Virtues of Stochastic Frontier and Data Envelopment Analysis," Operations Research, INFORMS, vol. 67(6), pages 1628-1658, November.
    7. Julia Schaefer & Marcel Clermont, 2018. "Stochastic non-smooth envelopment of data for multi-dimensional output," Journal of Productivity Analysis, Springer, vol. 50(3), pages 139-154, December.
    8. Juan Agar & William C. Horrace & Christopher F. Parmeter, 2022. "Overcapacity in Gulf of Mexico reef fish IFQ fisheries: 12 years after the adoption of IFQs," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 82(2), pages 483-506, June.
    9. Brian Tavonga Mazorodze, 2024. "Access to finance and intra-Africa trade efficiency," Journal of Shipping and Trade, Springer, vol. 9(1), pages 1-14, December.
    10. Christopher F. Parmeter & Valentin Zelenyuk, 2016. "A Bridge Too Far? The State of the Art in Combining the Virtues of Stochastic Frontier Analysis and Data Envelopement Analysis," Working Papers 2016-10, University of Miami, Department of Economics.

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    More about this item

    Keywords

    stochastic frontier analysis; maximum likelihood; production function; Monte Carlo simulation;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • D2 - Microeconomics - - Production and Organizations

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