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Estimating a Mixture of Efficiency Indices

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  • Kumbhakar, Subal
  • Orea, Luis
  • Rodríguez-Álvarez, Ana
  • Tsionas, Efthymos

Abstract

In this paper we estimate parametric input and output distance functions as well as a mixture of input and output distance functions. The main advantage of the mixing model is that it lets the data determine the orientation of technical inefficiency, which is an open problem in efficiency analysis. Since estimates of technical inefficiency from the input and output distance functions are not directly comparable, we develop cross-indices that can be used to compute input (output) technical inefficiency from the estimates of output (input) distance function. These cross-indices are especially useful in the mixture model in which both the input and output distance functions are simultaneously estimated. The proposed technique is applied to a panel data on European Railways (1970-1994).

Suggested Citation

  • Kumbhakar, Subal & Orea, Luis & Rodríguez-Álvarez, Ana & Tsionas, Efthymos, 2003. "Estimating a Mixture of Efficiency Indices," Efficiency Series Papers 2003/08, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
  • Handle: RePEc:oeg:wpaper:2003/08
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    References listed on IDEAS

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    1. Luis Orea & David Roibás & Alan Wall, 2004. "Choosing the Technical Efficiency Orientation to Analyze Firms' Technology: A Model Selection Test Approach," Journal of Productivity Analysis, Springer, vol. 22(1), pages 51-71, July.
    2. Tim Coelli & Sergio Perelman, 2000. "Technical efficiency of European railways: a distance function approach," Applied Economics, Taylor & Francis Journals, vol. 32(15), pages 1967-1976.
    3. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
    4. José Manuel Pastor Monsálvez & Lorenzo Serrano Martínez & Pedro Cantos, 2002. "Cost And Revenue Inefficiencies In The European Railways," Working Papers. Serie EC 2002-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    5. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October.
    6. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    7. Javier Campos, 2013. "Air transport," Chapters, in: Mattias Finger & Torben Holvad (ed.), Regulating Transport in Europe, chapter 2, pages 36-60, Edward Elgar Publishing.
    8. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
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