IDEAS home Printed from https://ideas.repec.org/a/ags/aareaj/260074.html
   My bibliography  Save this article

A copula-based approach to the simultaneous estimation of group and meta-frontiers by constrained maximum likelihood

Author

Listed:
  • Repkine, Alexandre

Abstract

Existing approaches to the meta-frontier estimation consist of two stages where the estimates of the local frontier parameters obtained in the first step are used to estimate meta-frontier parameters by means of a linear or quadratic minimisation procedure in the second. Since it was shown by Schmidt (Review of Economics and Statistics 58: 238) that the second step is equivalent to constrained maximisation of a likelihood function, we extend this idea and offer a copula-based approach to the estimation of the parameters of both meta- and group frontiers in a one-step setting. In this way, we ensure a single data-generating mechanism for the estimated parameters, expand the set of potential meta-frontiers and account for the fact that shocks to the individual production units may be correlated with shocks to the local technological environment as a whole. We apply our estimation methodology to a data set on the world agriculture and find that the deviations from the group frontiers are positively correlated with deviations from the meta-frontier, which is a conclusion that is impossible to reach without accounting for stochastic dependence between the two deviation types represented by a copula.

Suggested Citation

  • Repkine, Alexandre, 2014. "A copula-based approach to the simultaneous estimation of group and meta-frontiers by constrained maximum likelihood," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 58(01), January.
    • Handle: RePEc:ags:aareaj:260074
    DOI: 10.22004/ag.econ.260074
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/260074/files/ajar12026.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.260074?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
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Schmidt, Peter, 1976. "On the Statistical Estimation of Parametric Frontier Production Functions," The Review of Economics and Statistics, MIT Press, vol. 58(2), pages 238-239, May.
    3. George E. Battese & D. S. Prasada Rao, 2002. "Technology Gap, Efficiency, and a Stochastic Metafrontier Function," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 1(2), pages 87-93, August.
    4. 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.
    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.
    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. Huang, Tai-Hsin & Chen, Kuan-Chen & Lin, Chung-I, 2018. "An extension from network DEA to copula-based network SFA: Evidence from the U.S. commercial banks in 2009," The Quarterly Review of Economics and Finance, Elsevier, vol. 67(C), pages 51-62.

    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. Christine Amsler & Michael Leonard & Peter Schmidt, 2013. "Estimation and inference in parametric deterministic frontier models," Journal of Productivity Analysis, Springer, vol. 40(3), pages 293-305, December.
    2. Munir Ahmad & Azkar Ahmad, 1998. "An Analysis of the Sources of Wheat Output Growth in the Barani Area of the Punjab," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 37(3), pages 231-249.
    3. Zúniga-González, Carlos Alberto, 2009. "Technical efficiency of Organic Fertilizer in small farms of Nicaragua: 1998-2005," 111th Seminar, June 26-27, 2009, Canterbury, UK 53078, European Association of Agricultural Economists.
    4. Resti, Andrea, 1997. "Evaluating the cost-efficiency of the Italian Banking System: What can be learned from the joint application of parametric and non-parametric techniques," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 221-250, February.
    5. 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.
    6. Yang Li & Shin-Yi Chen, 2010. "The Impact of FDI on the Productivity of Chinese Economic Regions," Asia-Pacific Journal of Accounting & Economics, Taylor & Francis Journals, vol. 17(3), pages 299-312.
    7. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    8. Luis R. Murillo‐Zamorano, 2004. "Economic Efficiency and Frontier Techniques," Journal of Economic Surveys, Wiley Blackwell, vol. 18(1), pages 33-77, February.
    9. Wen-Jhan Jane & Wei-Hsin Kong & Yi-Hsiue Wang, 2010. "Individual efficiency and club performance: a panel analysis of professional baseball," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 31(5), pages 363-372.
    10. Rien J. L. M. Wagenvoort & Paul H. Schure, 2006. "A Recursive Thick Frontier Approach to Estimating Production Efficiency," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(2), pages 183-201, April.
    11. Li, Hong-Zhou & Kopsakangas-Savolainen, Maria & Yan, Ming-Zhe & Wang, Jian-Lin & Xie, Bai-Chen, 2019. "Which provincial administrative regions in China should reduce their coal consumption? An environmental energy input requirement function based analysis," Energy Policy, Elsevier, vol. 127(C), pages 51-63.
    12. Hongzhou Li & Andrea Appolloni & Yijie Dou & Vincenzo Basile & Maria Kopsakangas-Savolainen, 2024. "A parametric method to estimate environmental energy efficiency with non-radial adjustment: an application to China," Annals of Operations Research, Springer, vol. 342(3), pages 1379-1405, November.
    13. Junaedi, Mohammad & Daryanto, Heny Kuswanti Suwarsinah & Sinaga, Bonar Marulitua & Hartoyo, Sri, 2016. "Technical Efficiency And The Technology Gap In Wetland Rice Farming In Indonesia: A Metafrontier Analysis," International Journal of Food and Agricultural Economics (IJFAEC), Alanya Alaaddin Keykubat University, Department of Economics and Finance, vol. 4(2), pages 1-12, April.
    14. O’Donnell, C.J., 2016. "Using information about technologies, markets and firm behaviour to decompose a proper productivity index," Journal of Econometrics, Elsevier, vol. 190(2), pages 328-340.
    15. 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.
    16. repec:swn:wpaper:2023-02 is not listed on IDEAS
    17. Carlos Pestana Barros & Zhongfei Chen & Peter Wanke, 2016. "Efficiency in Chinese seaports: 2002–2012," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 18(3), pages 295-316, September.
    18. B. E. Bravo‐Ureta & L. Rieger, 1990. "Alternative Production Frontier Methodologies And Dairy Farm Efficiency," Journal of Agricultural Economics, Wiley Blackwell, vol. 41(2), pages 215-226, May.
    19. Tai-Hsin Huang & Yi-Huang Chiu & Chih-Ying Mao, 2021. "Imposing Regularity Conditions to Measure Banks’ Productivity Changes in Taiwan Using a Stochastic Approach," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 28(2), pages 273-303, June.
    20. Alfonso Flores-Lagunes & William C. Horrace & Kurt E. Schnier, 2007. "Identifying technically efficient fishing vessels: a non-empty, minimal subset approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(4), pages 729-745.
    21. Edward Ebo ONUMAH & Bernhard BRÜMMER & Gabriele HÖRSTGEN-SCHWARK, 2010. "Productivity of the hired and family labour and determinants of technical inefficiency in Ghana's fish farms," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 56(2), pages 79-88.

    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:aareaj:260074. 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/aaresea.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.