IDEAS home Printed from https://ideas.repec.org/p/ags/wisagr/12601.html
   My bibliography  Save this paper

A Generalized Distance Function And The Analysis Of Production Efficiency

Author

Listed:
  • Chavas, Jean-Paul
  • Cox, Thomas L.

Abstract

A generalization of Shephard's distance functions is proposed, extending the usefulness of distance functions in economic analysis. Applications to efficiency measurements and productivity analysis are presented. New indexes of productivity, and technical, allocative and scale efficiency are proposed and analyzed. Interpretation of these indexes in terms of ray-average cost, ray-average revenue, and cost-to-revenue ratio is discussed.

Suggested Citation

  • Chavas, Jean-Paul & Cox, Thomas L., 1999. "A Generalized Distance Function And The Analysis Of Production Efficiency," Staff Papers 12601, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
  • Handle: RePEc:ags:wisagr:12601
    DOI: 10.22004/ag.econ.12601
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/12601/files/stpap422.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.22004/ag.econ.12601?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Forsund, Finn R. & Lovell, C. A. Knox & Schmidt, Peter, 1980. "A survey of frontier production functions and of their relationship to efficiency measurement," Journal of Econometrics, Elsevier, vol. 13(1), pages 5-25, May.
    2. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July.
    3. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    4. Lau, Lawrence J, 1972. "Profit Functions of Technologies with Multiple Inputs and Outputs," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 281-289, August.
    5. W. Briec, 1997. "A Graph-Type Extension of Farrell Technical Efficiency Measure," Journal of Productivity Analysis, Springer, vol. 8(1), pages 95-110, March.
    6. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    7. Ray, Subhash C & Desli, Evangelia, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1033-1039, December.
    8. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, October.
    9. Robert Russell, R., 1985. "Measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 35(1), pages 109-126, February.
    10. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    11. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    12. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    13. Bauer, Paul W., 1990. "Recent developments in the econometric estimation of frontiers," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 39-56.
    14. Chambers, Robert G. & Chung, Y. & Fare, R., 1996. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Working Papers 197837, University of Maryland, Department of Agricultural and Resource Economics.
    15. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    16. Russell, R. Robert, 1985. "On the Axiomatic Approach to the Measurement of Technical Efficiency," Working Papers 85-33, C.V. Starr Center for Applied Economics, New York University.
    17. Banker, Rajiv D & Maindiratta, Ajay, 1988. "Nonparametric Analysis of Technical and Allocative Efficiencies in Production," Econometrica, Econometric Society, vol. 56(6), pages 1315-1332, November.
    18. Seiford, Lawrence M. & Thrall, Robert M., 1990. "Recent developments in DEA : The mathematical programming approach to frontier analysis," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 7-38.
    19. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jean‐Paul Chavas & Thomas L. Cox, 1999. "A Generalized Distance Function and the Analysis of Production Efficiency," Southern Economic Journal, John Wiley & Sons, vol. 66(2), pages 294-318, October.
    2. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    3. W. Briec & K. Kerstens, 2009. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 55-73, April.
    4. Voigt, Peter, 2004. "Russlands Weg vom Plan zum Markt: Sektorale Trends und regionale Spezifika. Eine Analyse der Produktivitäts- und Effizienzentwicklungen in der Transformationsphase," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 28, number 93021.
    5. Jean‐Paul Chavas & Thomas L. Cox, 1997. "Production Analysis: A Non‐Parametric Time Series Application To Us Agriculture," Journal of Agricultural Economics, Wiley Blackwell, vol. 48(1‐3), pages 330-348, January.
    6. Briec, W., 2000. "An extended Fare-Lovell technical efficiency measure," International Journal of Production Economics, Elsevier, vol. 65(2), pages 191-199, April.
    7. Chen, Xiang & Chen, Yong & Huang, Wenli & Zhang, Xuping, 2023. "A new Malmquist-type green total factor productivity measure: An application to China," Energy Economics, Elsevier, vol. 117(C).
    8. Tae Hoon Oum & Katsuhiro Yamaguchi & Yuichiro Yoshida, 2011. "Efficiency Measurement Theory and its Application to Airport Benchmarking," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 13, Edward Elgar Publishing.
    9. Färe, Rolf & Fukuyama, Hirofumi & Grosskopf, Shawna & Zelenyuk, Valentin, 2016. "Cost decompositions and the efficient subset," Omega, Elsevier, vol. 62(C), pages 123-130.
    10. Xiang Ao & Lilyan E. Fulginiti, 2005. "Productivity Growth in China: Evidence from Chinese Provinces," Development and Comp Systems 0502024, University Library of Munich, Germany.
    11. Jean-Paul CHAVAS & Thomas L. COX, 1994. "A Primal-Dual Approach To Nonparametric Productivity Analysis: The Case Of U.S. Agriculture," Staff Papers 372, University of Wisconsin Madison, AAE.
    12. M C A S Portela & E Thanassoulis, 2007. "Developing a decomposable measure of profit efficiency using DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(4), pages 481-490, April.
    13. Briec, Walter & Dumas, Audrey & Kerstens, Kristiaan & Stenger, Agathe, 2022. "Generalised commensurability properties of efficiency measures: Implications for productivity indicators," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1481-1492.
    14. Carlos Barros & Hercules Haralambides & Mohamed Hussain & Nicolas Perpoch, 2011. "Seaport Efficiency and Productivity Growth," Chapters, in: Kevin Cullinane (ed.), International Handbook of Maritime Economics, chapter 17, Edward Elgar Publishing.
    15. Casu, Barbara & Girardone, Claudia & Molyneux, Philip, 2004. "Productivity change in European banking: A comparison of parametric and non-parametric approaches," Journal of Banking & Finance, Elsevier, vol. 28(10), pages 2521-2540, October.
    16. Ayouba, Kassoum & Boussemart, Jean-Philippe & Lefer, Henri-Bertrand & Leleu, Hervé & Parvulescu, Raluca, 2022. "An indirect, Luenberger approach to price performance," International Journal of Production Economics, Elsevier, vol. 244(C).
    17. Chen, Ku-Hsieh & Huang, Yi-Ju & Yang, Chih-Hai, 2009. "Analysis of regional productivity growth in China: A generalized metafrontier MPI approach," China Economic Review, Elsevier, vol. 20(4), pages 777-792, December.
    18. Pastor, Jesus T. & Lovell, C.A. Knox & Aparicio, Juan, 2020. "Defining a new graph inefficiency measure for the proportional directional distance function and introducing a new Malmquist productivity index," European Journal of Operational Research, Elsevier, vol. 281(1), pages 222-230.
    19. Walter Briec & Laurence Lasselle, 2022. "On some relations between a continuous time Luenberger productivity indicator and the Solow model," Bulletin of Economic Research, Wiley Blackwell, vol. 74(2), pages 484-502, April.
    20. Nazir Ullah Khan & Abdur Rehman, 2022. "Decomposition of Total Factor Productivity of Cash Crops in Pakistan: A Malmquist Data Envelop Analysis," Journal of Economic Impact, Science Impact Publishers, vol. 4(1), pages 139-144.

    More about this item

    Keywords

    Production Economics;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ags:wisagr:12601. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/dauwius.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.