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Performance of the Bootstrap for DEA Estimators and Iterating the Principle

In: Handbook on Data Envelopment Analysis

Author

Listed:
  • Léopold Simar

    (Université Catholique de Louvain)

  • Paul W. Wilson

    (Clemson University)

Abstract

This chapter further examines the bootstrap method proposed by Simar and Wilson (Manag Sci 44(11):49–61, 1998) for DEA efficiency estimators. Some simplifications as well as Monte Carlo evidence on the coverage probabilities of confidence intervals estimated by the method are offered. In addition, we present similar evidence for confidence intervals estimated with the so-called naive bootstrap to illustrate the fact that the naive bootstrap is inconsistent in the DEA setting. Finally, we propose an iterated version of the bootstrap which may be used to improve bootstrap estimates of confidence intervals.

Suggested Citation

  • Léopold Simar & Paul W. Wilson, 2011. "Performance of the Bootstrap for DEA Estimators and Iterating the Principle," International Series in Operations Research & Management Science, in: William W. Cooper & Lawrence M. Seiford & Joe Zhu (ed.), Handbook on Data Envelopment Analysis, chapter 0, pages 241-271, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-6151-8_10
    DOI: 10.1007/978-1-4419-6151-8_10
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    Cited by:

    1. Kerstin Enflo & Per Hjertstrand, 2009. "Relative Sources of European Regional Productivity Convergence: A Bootstrap Frontier Approach," Regional Studies, Taylor & Francis Journals, vol. 43(5), pages 643-659.
    2. Sebastian Kohl & Jan Schoenfelder & Andreas Fügener & Jens O. Brunner, 2019. "The use of Data Envelopment Analysis (DEA) in healthcare with a focus on hospitals," Health Care Management Science, Springer, vol. 22(2), pages 245-286, June.
    3. Matthews, Kent & Xiao, Zhiguo, 2020. "Rational cost inefficiency and convergence in Chinese banks," Economic Modelling, Elsevier, vol. 91(C), pages 696-704.
    4. Johnes, Jill, 2006. "Data envelopment analysis and its application to the measurement of efficiency in higher education," Economics of Education Review, Elsevier, vol. 25(3), pages 273-288, June.
    5. Ioanna G. Gkiza & Stefanos A. Nastis, 2017. "Health and Women’s Role in Agricultural Production Efficiency," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 39(3), pages 428-440.
    6. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
    7. R. Amy Puenpatom & Robert Rosenman, 2006. "Efficiency of Thai provincial public hospitals after the introduction of National Health Insurance Program," Working Papers 2006-2, School of Economic Sciences, Washington State University.
    8. W. Cooper & L. Seiford & K. Tone & J. Zhu, 2007. "Some models and measures for evaluating performances with DEA: past accomplishments and future prospects," Journal of Productivity Analysis, Springer, vol. 28(3), pages 151-163, December.
    9. Barros, Carlos P. & Liang, Qi Bin & Peypoch, Nicolas, 2013. "The technical efficiency of US Airlines," Transportation Research Part A: Policy and Practice, Elsevier, vol. 50(C), pages 139-148.
    10. Aldea, Anamaria & Ciobanu, Anamaria & Stancu, Ion, 2012. "The Renewable Energy Development: A Nonparametric Efficiency Analysis," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 5-19, March.
    11. Gideon Ndubuisi & Solomon Owusu, 2023. "Trade for catch-up: examining how global value chains participation affects productive efficiency," Journal of Productivity Analysis, Springer, vol. 59(2), pages 195-215, April.
    12. Johnes, Jill & Yu, Li, 2008. "Measuring the research performance of Chinese higher education institutions using data envelopment analysis," China Economic Review, Elsevier, vol. 19(4), pages 679-696, December.
    13. Greta Falavigna & Roberto Ippoliti & Alessandro Manello, 2012. "Performance of the health care industry: the Italian case study," CERIS Working Paper 201216, CNR-IRCrES Research Institute on Sustainable Economic Growth - Torino (TO) ITALY - former Institute for Economic Research on Firms and Growth - Moncalieri (TO) ITALY.
    14. Nazin, Vladimir, 2010. "Nonparametric estimates of technical efficiency of Russian banks and crisis impact," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 20(4), pages 28-52.
    15. Kohl, Sebastian & Brunner, Jens O., 2020. "Benchmarking the benchmarks – Comparing the accuracy of Data Envelopment Analysis models in constant returns to scale settings," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1042-1057.
    16. Mensah, Emmanuel B. & Owusu, Solomon & Foster-McGregor, Neil, 2020. "Productive efficiency, technological change and catch up within Africa," MERIT Working Papers 2020-033, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    17. Rajitkanok Puenpatom & Robert Rosenman, 2008. "Efficiency of Thai provincial public hospitals during the introduction of universal health coverage using capitation," Health Care Management Science, Springer, vol. 11(4), pages 319-338, December.
    18. Mensah, Emmanuel B. & Owusu, Solomon & Foster-McGregor, Neil, 2023. "Productive efficiency, structural change, and catch-up within Africa," Structural Change and Economic Dynamics, Elsevier, vol. 65(C), pages 78-100.
    19. Dakpo, K.H. & Vincent, M. & Boussemart, J.-P., 2018. "Spatial aggregation of land uses allocation and pesticide efficiency at landscape level A Multi-ware production approach," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277258, International Association of Agricultural Economists.
    20. Zhang, Chonghui & Jiang, Nanyue & Su, Tiantian & Chen, Ji & Streimikiene, Dalia & Balezentis, Tomas, 2022. "Spreading knowledge and technology: Research efficiency at universities based on the three-stage MCDM-NRSDEA method with bootstrapping," Technology in Society, Elsevier, vol. 68(C).
    21. Zhang, Chunqin & Juan, Zhicai & Xiao, Guangnian, 2015. "Do contractual practices affect technical efficiency? Evidence from public transport operators in China," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 39-55.

    More about this item

    Keywords

    Data envelopment analysis; Bootstrap; Distance function; Efficiency; Frontier models;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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