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Estimating Alternative Technology Sets in Nonparametric Efficiency Analysis: Restriction Tests for Panel and Clustered Data

  • Anne Neumann
  • Maria Nieswand
  • Torben Schubert

Nonparametric efficiency analysis has become a widely applied technique to support industrial benchmarking as well as a variety of incentive-based regulation policies. In practice such exercises are often plagued by incomplete knowledge about the correct specifications of inputs and outputs. Simar and Wilson (2001) and Schubert and Simar (2011) propose restriction tests to support such specification decisions for cross-section data. However, the typical oligopolized market structure pertinent to regulation contexts often leads to low numbers of cross-section observations, rendering reliable estimation based on these tests practically unfeasible. This small-sample problem could often be avoided with the use of panel data, which would in any case require an extension of the cross-section restriction tests to handle panel data. In this paper we derive these tests. We prove the consistency of the proposed method and apply it to a sample of US natural gas transmission companies in 2003 through 2007. We find that the total quantity of gas delivered and gas delivered in peak periods measure essentially the same output. Therefore only one needs to be included. We also show that the length of mains as a measure of transportation service is non-redundant and therefore must be included.

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Paper provided by European University Institute in its series RSCAS Working Papers with number 2013/13.

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Date of creation: Mar 2013
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Handle: RePEc:rsc:rsceui:2013/13
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  1. Vogelsang, Ingo, 2002. "Incentive Regulation and Competition in Public Utility Markets: A 20-Year Perspective," Journal of Regulatory Economics, Springer, vol. 22(1), pages 5-27, July.
  2. Haney, Aoife Brophy & Pollitt, Michael G., 2009. "Efficiency analysis of energy networks: An international survey of regulators," Energy Policy, Elsevier, vol. 37(12), pages 5814-5830, December.
  3. Léopold Simar & Paul Wilson, 2011. "Inference by the m out of n bootstrap in nonparametric frontier models," Journal of Productivity Analysis, Springer, vol. 36(1), pages 33-53, August.
  4. Mehdi Farsi & Aurelio Fetz & Massimo Filippini, 2007. "Benchmarking and Regulation in the Electricity Distribution Sector," CEPE Working paper series 07-54, CEPE Center for Energy Policy and Economics, ETH Zurich.
  5. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
  6. Dyson, R. G. & Allen, R. & Camanho, A. S. & Podinovski, V. V. & Sarrico, C. S. & Shale, E. A., 2001. "Pitfalls and protocols in DEA," European Journal of Operational Research, Elsevier, vol. 132(2), pages 245-259, July.
  7. Schefczyk, Michael, 1993. "Industrial benchmarking: A case study of performance analysis techniques," International Journal of Production Economics, Elsevier, vol. 32(1), pages 1-11, August.
  8. Jamasb, T. & Pollitt, M., 2001. "International Benchmarking and Yardstick Regulation: An Application to European Electricity Utilities," Cambridge Working Papers in Economics 0115, Faculty of Economics, University of Cambridge.
  9. Jamasb, Tooraj & Pollitt, Michael, 2003. "International benchmarking and regulation: an application to European electricity distribution utilities," Energy Policy, Elsevier, vol. 31(15), pages 1609-1622, December.
  10. Paul L. Joskow, 2013. "Incentive Regulation in Theory and Practice: Electricity Distribution and Transmission Networks," NBER Chapters, in: Economic Regulation and Its Reform: What Have We Learned?, pages 291-344 National Bureau of Economic Research, Inc.
  11. Jamasb, Tooraj & Nillesen, Paul & Pollitt, Michael, 2004. "Strategic behaviour under regulatory benchmarking," Energy Economics, Elsevier, vol. 26(5), pages 825-843, September.
  12. Torben Schubert & Léopold Simar, 2011. "Innovation and export activities in the German mechanical engineering sector: an application of testing restrictions in production analysis," Journal of Productivity Analysis, Springer, vol. 36(1), pages 55-69, August.
  13. Kneip, Alois & Simar, Léopold & Wilson, Paul W., 2008. "Asymptotics And Consistent Bootstraps For Dea Estimators In Nonparametric Frontier Models," Econometric Theory, Cambridge University Press, vol. 24(06), pages 1663-1697, December.
  14. Shuttleworth, Graham, 2005. "Benchmarking of electricity networks: Practical problems with its use for regulation," Utilities Policy, Elsevier, vol. 13(4), pages 310-317, December.
  15. Tim Coelli & Antonio Estache & Sergio Perelman & Lourdes Trujillo, 2003. "A Primer on Efficiency Measurement for Utilities and Transport Regulators," World Bank Publications, The World Bank, number 15149.
  16. Jamasb, T. & Pollitt, M.G. & Triebs, T., 2008. "Productivity and Efficiency of US Gas Transmission Companies: A European Regulatory Perspective," Cambridge Working Papers in Economics 0812, Faculty of Economics, University of Cambridge.
  17. Homburg, Carsten, 2001. "Using data envelopment analysis to benchmark activities," International Journal of Production Economics, Elsevier, vol. 73(1), pages 51-58, August.
  18. M.E. Beesley & S.C. Littlechild, 1989. "The Regulation of Privatized Monopolies in the United Kingdom," RAND Journal of Economics, The RAND Corporation, vol. 20(3), pages 454-472, Autumn.
  19. Astrid Cullmann, 2012. "Benchmarking and firm heterogeneity: a latent class analysis for German electricity distribution companies," Empirical Economics, Springer, vol. 42(1), pages 147-169, February.
  20. Léopold Simar & Paul Wilson, 2000. "Statistical Inference in Nonparametric Frontier Models: The State of the Art," Journal of Productivity Analysis, Springer, vol. 13(1), pages 49-78, January.
  21. Léopold Simar, 2003. "Detecting Outliers in Frontier Models: A Simple Approach," Journal of Productivity Analysis, Springer, vol. 20(3), pages 391-424, November.
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