IDEAS home Printed from https://ideas.repec.org/p/ihs/ihsesp/89.html
   My bibliography  Save this paper

DEA Problems under Geometrical or Probability Uncertainties of Sample Data

Author

Listed:
  • Althaler, Karl S.

    (Institute for Advanced Studies, Vienna)

  • Slavova, Tatjana

    (Institute for Advanced Studies, Vienna)

Abstract

This paper discusses the theoretical and practical aspects of new methods for solving DEA problems under real-life geometrical uncertainty and probability uncertainty of sample data. The proposed minimax approach to solve problems with geometrical uncertainty of sample data involves an implementation of linear programming or minimax optimization, whereas the problems with probability uncertainty of sample data are solved through implementing of econometric and new stochastic optimization methods, using the stochastic frontier functions estimation.

Suggested Citation

  • Althaler, Karl S. & Slavova, Tatjana, 2000. "DEA Problems under Geometrical or Probability Uncertainties of Sample Data," Economics Series 89, Institute for Advanced Studies.
    • Handle: RePEc:ihs:ihsesp:89
    as

    Download full text from publisher

    File URL: https://irihs.ihs.ac.at/id/eprint/1295
    File Function: First version, 2000
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Reifschneider, David & Stevenson, Rodney, 1991. "Systematic Departures from the Frontier: A Framework for the Analysis of Firm Inefficiency," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 715-723, August.
    2. 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.
    3. Lee, Lung-Fei, 1993. "Asymptotic Distribution of the Maximum Likelihood Estimator for a Stochastic Frontier Function Model with a Singular Information Matrix," Econometric Theory, Cambridge University Press, vol. 9(3), pages 413-430, June.
    4. Schmidt, Peter & Knox Lovell, C. A., 1979. "Estimating technical and allocative inefficiency relative to stochastic production and cost frontiers," Journal of Econometrics, Elsevier, vol. 9(3), pages 343-366, February.
    5. 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.
    6. 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.
    7. Coelli, T. J., 1992. "A computer program for frontier production function estimation : Frontier version 2.0," Economics Letters, Elsevier, vol. 39(1), pages 29-32, May.
    8. Stevenson, Rodney E., 1980. "Likelihood functions for generalized stochastic frontier estimation," Journal of Econometrics, Elsevier, vol. 13(1), pages 57-66, May.
    9. Battese, George E. & Coelli, Tim J., 1988. "Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data," Journal of Econometrics, Elsevier, vol. 38(3), pages 387-399, July.
    10. G Appa & M Yue, 1999. "On setting scale efficient targets in DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(1), pages 60-69, January.
    11. Pitt, Mark M. & Lee, Lung-Fei, 1981. "The measurement and sources of technical inefficiency in the Indonesian weaving industry," Journal of Development Economics, Elsevier, vol. 9(1), pages 43-64, August.
    12. George E. Battese & Greg S. Corra, 1977. "Estimation Of A Production Frontier Model: With Application To The Pastoral Zone Of Eastern Australia," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 21(3), pages 169-179, December.
    13. 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.
    14. Kumbhakar, Subal C & Ghosh, Soumendra & McGuckin, J Thomas, 1991. "A Generalized Production Frontier Approach for Estimating Determinants of Inefficiency in U.S. Dairy Farms," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(3), pages 279-286, July.
    15. Battese, George E. & Corra, Greg S., 1977. "Estimation Of A Production Frontier Model: With Application To The Pastoral Zone Of Eastern Australia," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 21(3), pages 1-11, December.
    16. Hughes, Michael D, 1988. "A Stochastic Frontier Cost Function for Residential Child Care Provision," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(3), pages 203-214, July-Sept.
    17. Battese, G E & Coelli, T J, 1995. "A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data," Empirical Economics, Springer, vol. 20(2), pages 325-332.
    18. Bauer, Paul W., 1990. "Recent developments in the econometric estimation of frontiers," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 39-56.
    19. 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.
    20. Yunos, Jamaluddin Mohd & Hawdon, David, 1997. "The efficiency of the National Electricity Board in Malaysia: An intercountry comparison using DEA," Energy Economics, Elsevier, vol. 19(2), pages 255-269, May.
    21. Battese, George E. & Coelli, Tim J. & Colby, T.C., 1989. "Estimation of Frontier Production Functions and the Efficiencies of Indian Farms Using Panel Data from ICRISAT's Village Level Studies," 1989 Conference (33rd), February 7-9, 1989, Christchurch, New Zealand 144383, Australian Agricultural and Resource Economics Society.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tatjana Slavova, 2008. "A rank order and efficiency evaluation of the EU regions in a social framework," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 35(4), pages 339-367, September.

    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. Tim J. Coelli, 1995. "Recent Developments In Frontier Modelling And Efficiency Measurement," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 39(3), pages 219-245, December.
    2. Martín Rossi, 2015. "The Econometrics Approach to the Measurement of Efficiency: A Survey," Working Papers 117, Universidad de San Andres, Departamento de Economia, revised Feb 2015.
    3. Gian Carlo Scarsi, 1999. "Local Electricity Distribution in Italy: Comparative Efficiency Analysis and Methodological Cross-Checking," Working Papers 1999.16, Fondazione Eni Enrico Mattei.
    4. Luis R. Murillo‐Zamorano, 2004. "Economic Efficiency and Frontier Techniques," Journal of Economic Surveys, Wiley Blackwell, vol. 18(1), pages 33-77, February.
    5. Nguyen Hung Anh & Wolfgang Bokelmann & Do Thi Nga & Nguyen Van Minh, 2019. "Toward Sustainability or Efficiency: The Case of Smallholder Coffee Farmers in Vietnam," Economies, MDPI, vol. 7(3), pages 1-25, July.
    6. Madau, Fabio A., 2005. "Technical Efficiency in Organic Farming: An Application on Italian Cereal Farms Using a Parametric Approach," 2005 International Congress, August 23-27, 2005, Copenhagen, Denmark 24545, European Association of Agricultural Economists.
    7. Ahmad, Munir & Boris E., Bravo-Ureta, 1996. "Technical efficiency measures for dairy farms using panel data: a comparison of alternative model specifications," MPRA Paper 37703, University Library of Munich, Germany.
    8. Reddy, Mahendra, 2002. "Implication of Tenancy Status on Productivity and Efficiency: Evidence from Fiji," Sri Lankan Journal of Agricultural Economics, Sri Lanka Agricultural Economics Association (SAEA), vol. 4, pages 1-20.
    9. Massimiliano Piacenza, 2002. "Regulatory Constraints and Cost Efficiency of the Italian Public Transit Systems: An Exploratory Stochastic Frontier Model," CERIS Working Paper 200202, CNR-IRCrES Research Institute on Sustainable Economic Growth - Torino (TO) ITALY - former Institute for Economic Research on Firms and Growth - Moncalieri (TO) ITALY.
    10. Kalyan Chakraborty & Basudeb Biswas & W. Cris Lewis, 2001. "Measurement of Technical Efficiency in Public Education: A Stochastic and Nonstochastic Production Function Approach," Southern Economic Journal, John Wiley & Sons, vol. 67(4), pages 889-905, April.
    11. Antonio Lopes & Luca Giordano, 2006. "Risk Preference and Investments Quality as Determinants of Efficiency in the Italian Banking System," Quaderni DSEMS 12-2006, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    12. Tom Kompas & Tuong Nhu Che & R. Quentin Grafton, 2004. "Technical efficiency effects of input controls: evidence from Australia's banana prawn fishery," Applied Economics, Taylor & Francis Journals, vol. 36(15), pages 1631-1641.
    13. Roy, Manish & Mazumder, Ritwik, 2016. "Technical Efficiency of Fish Catch in Traditional Fishing: A Study in Southern Assam," Journal of Regional Development and Planning, Rajarshi Majumder, vol. 5(1), pages 55-68.
    14. Coelli, Tim J. & Battese, George E., 1996. "Identification Of Factors Which Influence The Technical Inefficiency Of Indian Farmers," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 40(2), pages 1-26, August.
    15. Schalk Hans Joachim & Untiedt Gerhard & Lüschow Jörg, 1995. "Technische Effizienz, Wachstum und Konvergenz in den Arbeitsmarktregionen der Bundesrepublik Deutschland (West). Eine ökonometrische Analyse für die Verarbeitende Industrie mit einem „Frontier Product," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 214(1), pages 25-49, February.
    16. Madau, Fabio A., 2011. "Parametric Estimation of Technical and Scale Efficiencies in Italian Citrus Farming," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 12(1).
    17. Afanasiev, Mikhail, 2007. "A Stochastic Frontier Model of a Scientist’s Production Potential," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 6(2), pages 36-59.
    18. Zuniga-Gonzalez, C.A, 2009. "Analisis de la eficiencia tecnica de la unidad de VPN UNAN-LEON utilizando funcion de produccion stochastic frontier, 2007-2008 [Technical efficiency analysis of the PNV unit UNAN-Leon using produc," MPRA Paper 110950, University Library of Munich, Germany, revised 14 Jan 2009.
    19. Zuniga Gonzalez, Carlos Alberto, 2010. "Deforestation Impact on the Household Sustainable Local Development: Nicaragua case, 1998-2005," MPRA Paper 49353, University Library of Munich, Germany, revised 06 Jan 2011.
    20. Larson, Donald F. & Plessmann, Frank, 2009. "Do farmers choose to be inefficient? Evidence from Bicol," Journal of Development Economics, Elsevier, vol. 90(1), pages 24-32, September.

    More about this item

    Keywords

    DEA; Sample data uncertainty; Linear programming; Minimax optimization; Stochastic optimization; Stochastic frontier functions;
    All these keywords.

    JEL classification:

    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • H72 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Budget and Expenditures

    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:ihs:ihsesp:89. 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: Doris Szoncsitz (email available below). General contact details of provider: https://edirc.repec.org/data/deihsat.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.