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Größenvorteile im deutschen ÖSPV – Eine empirische Analyse


  • Karl-Hans Hartwig

    () (Institute of Transport Economics, Muenster)

  • Raimund Scheffler

    () (Institute of Transport Economics, Muenster)


In this paper we present an efficiency analysis of bus transport companies in Germany. It is focused on the calculation of scale efficiencies in order to identify possible economies of sca-le in the German bus transport market. For this purpose, we apply data envelopment analy-sis (DEA). As DEA is a determintistic method, bootstrapping procedures are applied to test for global and individual returns to scale. We find that small bus transport companies achieve economies of scale by extending their size.

Suggested Citation

  • Karl-Hans Hartwig & Raimund Scheffler, 2009. "Größenvorteile im deutschen ÖSPV – Eine empirische Analyse," Working Papers 13, Institute of Transport Economics, University of Muenster.
  • Handle: RePEc:mut:wpaper:13

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    References listed on IDEAS

    1. Leopold Simar & Paul Wilson, 2000. "A general methodology for bootstrapping in non-parametric frontier models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(6), pages 779-802.
    2. 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.
    3. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    4. von Hirschhausen, Christian & Cullmann, Astrid, 2010. "A nonparametric efficiency analysis of German public transport companies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(3), pages 436-445, May.
    5. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    6. Simar, Leopold & Wilson, Paul W., 2002. "Non-parametric tests of returns to scale," European Journal of Operational Research, Elsevier, vol. 139(1), pages 115-132, May.
    7. DE BORGER, Bruno & KERSTENS, Kristiaan & COSTA, Álvaro, "undated". "Public transit performance: What do we learn from frontier studies?," Working Papers 2000019, University of Antwerp, Faculty of Applied Economics.
    8. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
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    More about this item


    bus transport; frontier analysis; DEA;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • L92 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Railroads and Other Surface Transportation

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