IDEAS home Printed from https://ideas.repec.org/a/ris/apltrx/0481.html
   My bibliography  Save this article

Assessing the accuracy of efficiency rankings obtained from a stochastic frontier model

Author

Listed:
  • Nikolskiy, Ilya

    (Lomonosov Moscow State University, Moscow, Russian Federation)

  • Furmanov, Kirill

    (Central Economics and Mathematics Institute, RAS, Moscow, Russian Federation)

Abstract

A technique for assessing the concordance between true inefficiency of decision making units in a basic stochastic frontier model and their JLMS estimates is proposed. An approximate formula for Harrell’s C-index is derived for the case of half-normal distribution of inefficiency component. A simulation study shows that the approximation error is about 0.01 and that finite-sample values of Harrell’s C are lower than asymptotic values. Hence, the approximate formula may be considered as an upper bound for the ranking accuracy of the stochastic frontier model

Suggested Citation

  • Nikolskiy, Ilya & Furmanov, Kirill, 2023. "Assessing the accuracy of efficiency rankings obtained from a stochastic frontier model," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 71, pages 128-142.
    • Handle: RePEc:ris:apltrx:0481
    as

    Download full text from publisher

    File URL: http://pe.cemi.rssi.ru/pe_2023_71_128-142.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. William Horrace & Seth Richards-Shubik & Ian Wright, 2015. "Expected efficiency ranks from parametric stochastic frontier models," Empirical Economics, Springer, vol. 48(2), pages 829-848, March.
    2. Afriat, Sidney N, 1972. "Efficiency Estimation of Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(3), pages 568-598, October.
    3. Roger B. Newson, 2010. "Comparing the predictive powers of survival models using Harrell’s C or Somers’ D," Stata Journal, StataCorp LP, vol. 10(3), pages 339-358, September.
    4. 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.
    5. Valeriy Makarov & Albert Bakhtizin, 2014. "The Estimation Of The Regions’ Efficiency Of The Russian Federation Including The Intellectual Capital, The Characteristics Of Readiness For Innovation, Level Of Well-Being, And Quality Of Life," Economy of region, Centre for Economic Security, Institute of Economics of Ural Branch of Russian Academy of Sciences, vol. 1(4), pages 9-30.
    6. Ipatova, Irina, 2015. "The dynamics of total factor productivity and its components: Russian plastic production," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 21-40.
    7. Shchetynin, Yevhenii & Nazrullaeva, Eugenia, 2012. "Effects of fixed capital investments on technical efficiency in food industry," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 28(4), pages 63-84.
    8. 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.
    9. Kumbhakar,Subal C. & Wang,Hung-Jen & Horncastle,Alan P., 2015. "A Practitioner's Guide to Stochastic Frontier Analysis Using Stata," Cambridge Books, Cambridge University Press, number 9781107609464.
    10. A. M. Theodoridis & A. Psychoudakis, 2008. "Efficiency Measurement in Greek Dairy Farms: Stochastic Frontier vs. Data Envelopment Analysis," International Journal of Business and Economic Sciences Applied Research (IJBESAR), International Hellenic University (IHU), Kavala Campus, Greece (formerly Eastern Macedonia and Thrace Institute of Technology - EMaTTech), vol. 1(2), pages 53-67, December.
    11. Aivazian, Sergei & Afanasiev, Mikhail & Rudenko, Victoria, 2014. "Analysis of dependence between the random components of a stochastic production function for the purpose of technical efficiency estimation," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 34(2), pages 3-18.
    12. Aigner, D J & Amemiya, Takeshi & Poirier, Dale J, 1976. "On the Estimation of Production Frontiers: Maximum Likelihood Estimation of the Parameters of a Discontinuous Density Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 377-396, June.
    13. Kumbhakar,Subal C. & Wang,Hung-Jen & Horncastle,Alan P., 2015. "A Practitioner's Guide to Stochastic Frontier Analysis Using Stata," Cambridge Books, Cambridge University Press, number 9781107029514.
    14. Golovan, Sergei, 2006. "Factors Influencing the Efficiency of the Russian Banks Performance," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 2(2), pages 3-17.
    15. Mamonov Mikhail E. & Parmeter Christopher F. & Prokhorov Artem B., 2022. "Dependence modeling in stochastic frontier analysis," Dependence Modeling, De Gruyter, vol. 10(1), pages 123-144, January.
    16. 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.
    17. Kumbhakar,Subal C. & Lovell,C. A. Knox, 2003. "Stochastic Frontier Analysis," Cambridge Books, Cambridge University Press, number 9780521666633.
    18. K. Suresh Chandra & G. Gopal & M. Ramadurai, 2013. "A stochastic frontier approach to survival analysis," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(6), pages 1362-1371, June.
    19. Richmond, J, 1974. "Estimating the Efficiency of Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(2), pages 515-521, June.
    20. Kirjavainen, Tanja, 2007. "Efficiency of Finnish Upper Secondary Schools: An Application of Stochastic Frontier Analysis with Panel Data," Discussion Papers 428, VATT Institute for Economic Research.
    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. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    2. Parmeter, Christopher F., 2021. "Is it MOLS or COLS?," Efficiency Series Papers 2021/04, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    3. Mark Andor & Christopher Parmeter, 2017. "Pseudolikelihood estimation of the stochastic frontier model," Applied Economics, Taylor & Francis Journals, vol. 49(55), pages 5651-5661, November.
    4. 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.
    5. Gralka, Sabine, 2018. "Stochastic frontier analysis in higher education: A systematic review," CEPIE Working Papers 05/18, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    6. 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.
    7. Lee , Woong, 2015. "Estimating Regional Matching Efficiency in the Indian Labor Market: State-Level Panel Data for 1999-2013," Working Papers 15-3, Korea Institute for International Economic Policy.
    8. 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.
    9. Mamonov Mikhail E. & Parmeter Christopher F. & Prokhorov Artem B., 2022. "Dependence modeling in stochastic frontier analysis," Dependence Modeling, De Gruyter, vol. 10(1), pages 123-144, January.
    10. Luis R. Murillo‐Zamorano, 2004. "Economic Efficiency and Frontier Techniques," Journal of Economic Surveys, Wiley Blackwell, vol. 18(1), pages 33-77, February.
    11. McFadden, Jonathan R., 2017. "Yield Maps, Soil Maps, and Technical Efficiency: Evidence from U.S. Corn Fields," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258120, Agricultural and Applied Economics Association.
    12. Tsvetkova, Anna, 2021. "Technical efficiency trends of Russian firms in 2013–2018," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 63, pages 91-116.
    13. Markose Chekol Zewdie & Michele Moretti & Daregot Berihun Tenessa & Zemen Ayalew Ayele & Jan Nyssen & Enyew Adgo Tsegaye & Amare Sewnet Minale & Steven Van Passel, 2021. "Agricultural Technical Efficiency of Smallholder Farmers in Ethiopia: A Stochastic Frontier Approach," Land, MDPI, vol. 10(3), pages 1-17, March.
    14. Stephen M. Miller & Terrence M. Clauretie & Thomas M. Springer, 2006. "Economies Of Scale And Cost Efficiencies: A Panel‐Data Stochastic‐Frontier Analysis Of Real Estate Investment Trusts," Manchester School, University of Manchester, vol. 74(4), pages 483-499, July.
    15. Nguyen Thi Chau & Tofael Ahamed, 2022. "Analyzing Factors That Affect Rice Production Efficiency and Organic Fertilizer Choices in Vietnam," Sustainability, MDPI, vol. 14(14), pages 1-11, July.
    16. Muktar Geleto & Mohammed Essa, 2022. "Analysis of Red Pepper Production Risk Adjusted Technical Efficiency: The Case Of Lanfuro District In Siltie Zone, Southern Ethiopia," International Journal of Business and Management, International Institute of Social and Economic Sciences, vol. 10(1), pages 30-58, May.
    17. W. Cooper & C. Lovell, 2011. "History lessons," Journal of Productivity Analysis, Springer, vol. 36(2), pages 193-200, October.
    18. 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.
    19. MAIMOUNA DIAKITE & Jean-François BRUN, 2016. "Tax Potential and Tax Effort: An Empirical Estimation for Non-Resource Tax Revenue and VAT’s Revenue," EcoMod2016 9537, EcoMod.
    20. Cheng, Xiaomei & Bjørndal, Endre & Lien, Gudbrand & Bjørndal, Mette, 2015. "Productivity Development for Norwegian Electricity Distribution Companies 2004-2013," Discussion Papers 2015/27, Norwegian School of Economics, Department of Business and Management Science.

    More about this item

    Keywords

    stochastic frontier; ranking; technical efficiency;
    All these keywords.

    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General

    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:ris:apltrx:0481. 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: Anatoly Peresetsky (email available below). General contact details of provider: http://appliedeconometrics.cemi.rssi.ru/ .

    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.