IDEAS home Printed from https://ideas.repec.org/p/fda/fdaeee/210.html
   My bibliography  Save this paper

Exact Allocative and Technical Inefficiency Using the Normalized Quadratic Cost System

Author

Listed:
  • Juan José Díaz-Hernández

Abstract

In this paper we have built a theoretical model using a normalized quadratic cost system to obtain expressions for actual input demand and cost as functions of three components: frontier, allocative and technical inefficiency. We have used the shadow prices approach in the line of exact decomposition that allows us to solve Greeneís problem. Using the normalized quadratic cost system has permited to isolate not only allocative inefficiency but also the technical one, as simple functions of both parameters and variables. The model allows us to obtain individual and time varying technical and allocative inefficency measures when a panel data is available. This model has been applied to cargo handling in Spanish ports.

Suggested Citation

  • Juan José Díaz-Hernández, "undated". "Exact Allocative and Technical Inefficiency Using the Normalized Quadratic Cost System," Studies on the Spanish Economy 210, FEDEA.
  • Handle: RePEc:fda:fdaeee:210
    as

    Download full text from publisher

    File URL: https://documentos.fedea.net/pubs/eee/eee210.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Atkinson, Scott E & Cornwell, Christopher, 1994. "Estimation of Output and Input Technical Efficiency Using a Flexible Form and Panel Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 245-255, February.
    2. Atkinson, Scott E & Halvorsen, Robert, 1984. "Parametric Efficiency Tests, Economies of Scale, and Input Demand in U.S. Electric Power Generation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 647-662, October.
    3. Bauer, Paul W., 1990. "Recent developments in the econometric estimation of frontiers," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 39-56.
    4. Atkinson, Scott E & Cornwell, Christopher, 1994. "Parametric Estimation of Technical and Allocative Inefficiency with Panel Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 231-243, February.
    5. Atkinson, Scott E. & Halvorsen, Robert, 1990. "Tests of allocative efficiency in regulated multi-product firms," Resources and Energy, Elsevier, vol. 12(1), pages 65-77, April.
    6. Greene, William H., 1980. "On the estimation of a flexible frontier production model," Journal of Econometrics, Elsevier, vol. 13(1), pages 101-115, May.
    7. Kumbhakar, Subal C., 1997. "Modeling allocative inefficiency in a translog cost function and cost share equations: An exact relationship," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 351-356.
    8. Kumbhakar, Subal C. & Tsionas, Efthymios G., 2005. "Measuring technical and allocative inefficiency in the translog cost system: a Bayesian approach," Journal of Econometrics, Elsevier, vol. 126(2), pages 355-384, June.
    9. OW Maietta, 2000. "The decomposition of cost inefficiency into technical and allocative components with panel data of Italian dairy farms," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 27(4), pages 473-495, December.
    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. Khiabani, Nasser & Hasani, Karim, 2010. "Technical and allocative inefficiencies and factor elasticities of substitution: An analysis of energy waste in Iran's manufacturing," Energy Economics, Elsevier, vol. 32(5), pages 1182-1190, September.
    2. Di­az-Hernández, Juan José & Marti­nez-Budri­a, Eduardo & Jara-Di­az, Sergio, 2008. "The effects of ignoring inefficiency in the analysis of production: The case of cargo handling in Spanish ports," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(2), pages 321-329, February.
    3. Xiaoheng Zhang & Xiaohua Yu & Xu Tian & Xianhui Geng & Yingheng Zhou, 2019. "Farm size, inefficiency, and rice production cost in China," Journal of Productivity Analysis, Springer, vol. 52(1), pages 57-68, December.
    4. Brissimis, Sophocles N. & Delis, Manthos D. & Tsionas, Efthymios G., 2010. "Technical and allocative efficiency in European banking," European Journal of Operational Research, Elsevier, vol. 204(1), pages 153-163, July.
    5. Kumbhakar, Subal C. & Tsionas, Efthymios G., 2005. "Measuring technical and allocative inefficiency in the translog cost system: a Bayesian approach," Journal of Econometrics, Elsevier, vol. 126(2), pages 355-384, June.
    6. Rodriguez-Alvarez, Ana & Fernandez-Blanco, Victor & Lovell, C. A. Knox, 2004. "Allocative inefficiency and its cost:: The case of Spanish public hospitals," International Journal of Production Economics, Elsevier, vol. 92(2), pages 99-111, November.
    7. Luis R. Murillo‐Zamorano, 2004. "Economic Efficiency and Frontier Techniques," Journal of Economic Surveys, Wiley Blackwell, vol. 18(1), pages 33-77, February.
    8. Tai‐Hsin Huang & Mei‐Hui Wang, 2003. "Estimation of Technical and Allocative Inefficiency Using Fourier Flexible Cost Frontiers for Taiwan's Banking Industry," Manchester School, University of Manchester, vol. 71(3), pages 341-362, June.
    9. Tung Liu, 2020. "Measuring Technical, Allocative inefficiency, and Cost Inefficiency by Applying Duality Theory," Working Papers 202001, Ball State University, Department of Economics, revised Jun 2020.
    10. George C. Bitros & Efthymios G. Tsionas, 2004. "A Consistent Approach to Cost Efficiency Measurement," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(1), pages 49-69, February.
    11. Amsler, Christine & Prokhorov, Artem & Schmidt, Peter, 2016. "Endogeneity in stochastic frontier models," Journal of Econometrics, Elsevier, vol. 190(2), pages 280-288.
    12. Liu, Tung, 2021. "Measuring cost inefficiency: A dual approach," Economic Modelling, Elsevier, vol. 99(C).
    13. Kumbhakar, Subal C. & Wang, Hung-Jen, 2006. "Estimation of technical and allocative inefficiency: A primal system approach," Journal of Econometrics, Elsevier, vol. 134(2), pages 419-440, October.
    14. Scott E. Atkinson & Jeffrey H. Dorfman, 2009. "Feasible estimation of firm-specific allocative inefficiency through Bayesian numerical methods," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 675-697.
    15. Díaz-Hernández, Juan José & Martínez-Budría, Eduardo & González, Rosa Marina, 2020. "Effects of Inefficiency on Marginal Costs, Degree of Economies of Scale and Technical Change: A Theoretical Relationship. The Case of Spanish Port Authorities || Efectos de la ineficiencia sobre los c," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 29(1), pages 190-207, June.
    16. Shenggen Fan, 2000. "Technological change, technical and allocative efficiency in Chinese agriculture: the case of rice production in Jiangsu," Journal of International Development, John Wiley & Sons, Ltd., vol. 12(1), pages 1-12.
    17. 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.
    18. Yongseung Han, 2012. "Modelling a stochastic profit system using gauge function," Applied Economics Letters, Taylor & Francis Journals, vol. 19(9), pages 823-827, June.
    19. Jean-Philippe Boussemart & Herv頌eleu & Vivian Valdmanis, 2015. "A two-stage translog marginal cost pricing approach for Floridian hospital outputs," Applied Economics, Taylor & Francis Journals, vol. 47(38), pages 4116-4127, August.
    20. Ouyang, Xiaoling & Sun, Chuanwang, 2015. "Energy savings potential in China's industrial sector: From the perspectives of factor price distortion and allocative inefficiency," Energy Economics, Elsevier, vol. 48(C), pages 117-126.

    More about this item

    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:fda:fdaeee:210. 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: Carmen Arias (email available below). General contact details of provider: https://www.fedea.net .

    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.