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Stochastic Production Frontier and Technical Inefficiency: A Sensitivity Analysis

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  • Rafik Baccouche
  • Mokhtar Kouki

Abstract

The present paper focuses attention on the sensitivity of technical inefficiency to most commonly used one-sided distributions of the inefficiency error term, namely the truncated normal, the half-normal, and the exponential distributions. A generalized version of the half-normal, which does not embody the zero-mean restriction, is also explored. For each distribution, the likelihood function and the counterpart of the estimator of technical efficiency are explicitly stated (Jondrow, J., Lovell, C. A. K., Materov, I. S., Schmidt, P. ([1982]), On estimation of technical inefficiency in the stochastic frontier production function model, J. Econometrics 19:233-238). Based on our panel data set, related to Tunisian manufacturing firms over the period 1983-1993, formal tests lead to a strong rejection of the zero-mean restriction embodied in the half normal distribution. Our main conclusion is that the degree of measured inefficiency is very sensitive to the postulated assumptions about the distribution of the one-sided error term. The estimated inefficiency indices are, however, unaffected by the choice of the functional form for the production function.

Suggested Citation

  • Rafik Baccouche & Mokhtar Kouki, 2003. "Stochastic Production Frontier and Technical Inefficiency: A Sensitivity Analysis," Econometric Reviews, Taylor & Francis Journals, vol. 22(1), pages 79-91, February.
    • Handle: RePEc:taf:emetrv:v:22:y:2003:i:1:p:79-91
    DOI: 10.1081/ETC-120017975
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    Citations

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    Cited by:

    1. Honkatukia, Juha, 2006. "Is there potential for government participation in flexibility mechanisms? - Evaluating the Finnish case," Conference papers 331472, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    2. Christopher F. Parmeter & Alan T. K. Wan & Xinyu Zhang, 2019. "Model averaging estimators for the stochastic frontier model," Journal of Productivity Analysis, Springer, vol. 51(2), pages 91-103, June.
    3. Ravallion, Martin, 2005. "On Measuring Aggregate "Social Efficiency."," Economic Development and Cultural Change, University of Chicago Press, vol. 53(2), pages 273-292, January.
    4. Carlos Martins-FIlho & Feng Yao, 2004. "A Nonparametric Model of Frontiers," Econometric Society 2004 Latin American Meetings 102, Econometric Society.
    5. Owusu, Eric S. & Bravo-Ureta, Boris E., 2022. "Reap when you sow? The productivity impacts of early sowing in Malawi," Agricultural Systems, Elsevier, vol. 199(C).
    6. Hung-pin Lai & Cliff Huang, 2010. "Likelihood ratio tests for model selection of stochastic frontier models," Journal of Productivity Analysis, Springer, vol. 34(1), pages 3-13, August.
    7. Vincent Mok & Godfrey Yeung & Zhaozhou Han & Zongzhang Li, 2010. "Export orientation and technical efficiency: clothing firms in China," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 31(7), pages 453-463.
    8. Khaled Thabet, 2015. "Industrial structure and total factor productivity: the Tunisian manufacturing sector between 1998 and 2004," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(2), pages 639-662, March.
    9. Martins-Filho, Carlos & Yao, Feng, 2007. "Nonparametric frontier estimation via local linear regression," Journal of Econometrics, Elsevier, vol. 141(1), pages 283-319, November.
    10. Stefano Mainardi, 2021. "Parametric and Semiparametric Efficiency Frontiers in Fishery Analysis: Overview and Case Study on the Falkland Islands," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 79(2), pages 169-210, June.
    11. Quang Nguyen & Sean Pascoe & Louisa Coglan & Son Nghiem, 2021. "The sensitivity of efficiency scores to input and other choices in stochastic frontier analysis: an empirical investigation," Journal of Productivity Analysis, Springer, vol. 55(1), pages 31-40, February.
    12. Aivazian, Sergei & Afanasiev, Mikhail, 2009. "Estimation of the Economic Efficiency of a Shift to the Achievable Production Potential," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 15(3), pages 43-55.

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