Skip to main content
Log in

A comparison of parametric and non-parametric efficiency measures: The case of Norwegian ferries

  • Published:
Journal of Productivity Analysis Aims and scope Submit manuscript

Abstract

The trunk road system in Norway has to be supplemented by a number of ferries due to the long coastline with numerous islands and fjords. Most of the ferries are run by private companies, but at a loss. The deficitś are covered by the Ministry of Transport. The subsidies have risen rapidly in the last years and have focussed attention on whether the ferries are really run as efficiently as possible. To change the incentives to economize, a lump-sum payment is considered. To implement such a system, an initial assessment of reasonable input requirements is needed. The aim of this article is to provide such a yardstick by establishing a best practice frontier. Both a non-parametric and a parametric approach to a deterministic frontier are tried and differences of results discussed. Peculiarities due to choice of methods are revealed. The efficiency distributions are quite similar for the two methods except for scale efficiency, where the parametric method indicates substantial unrealized scale economies, while the non-parametric approach shows the largest and some small ferries to be scale efficient. The results indicate a substantial rationalization potential of about 30 percent in total.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Afriat, S.N. (1972). “Efficiency estimation of production functions.” International Economic Review 13, pp. 568–598.

    Google Scholar 

  • Aigner, D.J. and S.F. Chu. (1968). “On estimating the industry production function.” American Economic Review 58, pp. 226–239.

    Google Scholar 

  • Albriktsen, R.O. and F.R. Førsund. (1990). “A productivity study of the Norwegian building industry.” The Journal of Productivity Analysis 2, pp. 53–66.

    Google Scholar 

  • Ali, A.I., (1989). “Computational aspects of data envelopment analysis.” Paper presented at a conference on New Uses of DEA in Management, Austin Texas.

  • Banker, R.D., R.F. Conrad, and R.P. Strauss. (1986). “A comparative application of data envelopment analysis and translog methods: An illustrative study of hospital production.” Management Science 32, pp. 30–44.

    Google Scholar 

  • Banker, R.D., A. Charnes, W.W. Cooper, and A. Maindiratta. (1988). “A comparison of DEA and translog estimates of production frontiers using simulated observations from a known technology.” In A. Dogramaci and R. Färe (eds.), Applications of modern production theory: Efficiency and Productivity. Boston: Kluwer Academic Publishers.

    Google Scholar 

  • Banker, R.D., V.M. Gadh, and W.L. Gorr. (1990). “A Monte Carlo comparison of two production frontier estimation methods: Corrected ordinary least squares and Data Envelopment Analysis.” Paper presented at a conference of New Uses of DEA in Management, Austin, Texas.

  • Bjurek, H., L. Hjalmarsson, and F.R. Førsund. (1990). “Deterministic parametric and non parametric estimation of efficiency in service production. A comparison.” Journal of Econometrics 46, pp. 213–227.

    Google Scholar 

  • Bös, D. (1988). “Recent theories on public enterprise economics.” European Economic Review 32, pp. 409–414.

    Google Scholar 

  • Charnes, A., W.W. Cooper, and E. Rhodes. (1978). “Measuring the Efficiency of Decision Making Units.” European Journal of Operational Research 2 (6), pp. 429–444.

    Google Scholar 

  • Charnes, A., W.W. Cooper, and T. Sueyoshi. (1988). “A goal programming/constrained regression review of the Bell System breakup.” Management Science 34, pp. 1–26.

    Google Scholar 

  • Deprins, D., L. Simar, and H. Tulkens. (1984). “Measuring Labor-Efficiency in Post Offices.” In M. Marchand, P. Pestieau, and H. Tulkens (eds.), The Performance of Public Enterprises: Concept and Measurement. Amsterdam: North Holland Publishing Co.

    Google Scholar 

  • Farrell, M.J. (1957). “The measurement of productive efficiency.” Journal of Royal Statistical Society, Series A, 120 (III), pp. 253–281.

    Google Scholar 

  • Ferrier, G.D. and C.A.K. Lovell. (1990). “Measuring cost efficiency in banking: Econometric and linear programming evidence.” Journal of Econometrics 46, pp. 229–245.

    Google Scholar 

  • Førsund, F.R. and E. Hernaes. (1990). “Ferry transport in Norway: An application of DEA analysis.” Working Paper No. 45, Centre for Applied Research, Department of Economics, University of Oslo.

  • Førsund, F.R. and L. Hjalmarsson. (1974). “On the measurement of productive efficiency.” Swedish Journal of Economics 76, pp. 141–154.

    Google Scholar 

  • Førsund, F.R. and L. Hjalmarsson. (1979a). “Frontier production functions and technical progress: A study of general milk processing in Swedish dairy plants.” Econometrica 47, pp. 883–900.

    Google Scholar 

  • Førsund, F.R. and L. Hjalmarsson. (1979b). “Generalized Farrell measures of efficiency: An application to milk processing in Swedish dairy plants.” Economic Journal 89, pp. 294–315.

    Google Scholar 

  • Førsund, F.R. and L. Hjalmarsson. (1987). “Analyses of Industrial Structure: A putty-clay approach.” The Industrial Institute for Economic and Social Research. Stockholm: Almqvist & Wiksell International.

  • Petersen, N.C. and O. Olesen. (1989). “Chance constrained efficiency evaluation.” Publications from Department of Management, No. 9, Odense University.

  • Sengupta, J.K. (1987). “Data envelopment analysis for efficiency measurement in the stochastic case.” Computers and Operations Research 14, pp. 117–129.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

I am indebted to three referees for forcing me to improve significantly the quality of the study. Any remaining shortcomings are, of course, my responsibility.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Førsund, F.R. A comparison of parametric and non-parametric efficiency measures: The case of Norwegian ferries. J Prod Anal 3, 25–43 (1992). https://doi.org/10.1007/BF00158767

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00158767

Keywords

Navigation