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Robust Nonparametric Estimation of Efficiency and Technical Change in U.S. Commercial Banking

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  • Paul W. Wilson
  • David C. Wheelock

Abstract

This paper examines the performance of the U.S.~commercial banking industry over 1984--2002. Rather than measuring performance relative to the unknown (and difficult-to-estimate) boundary of the production set, performance for a given bank is measured relative to {\it expected} maximum output among $m$ banks using no more of each input than the given bank. This approach permits fully non-parametric estimation with $\sqrt{n}$-consistency, avoiding the usual curse of dimensionality that plagues traditional non-parametric efficiency estimators. The resulting estimates are robust with respect to outliers and noise in the data

Suggested Citation

  • Paul W. Wilson & David C. Wheelock, 2004. "Robust Nonparametric Estimation of Efficiency and Technical Change in U.S. Commercial Banking," Econometric Society 2004 North American Summer Meetings 433, Econometric Society.
  • Handle: RePEc:ecm:nasm04:433
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    References listed on IDEAS

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    1. Léopold Simar & Paul Wilson, 2000. "Statistical Inference in Nonparametric Frontier Models: The State of the Art," Journal of Productivity Analysis, Springer, vol. 13(1), pages 49-78, January.
    2. Berger, Allen N. & Mester, Loretta J., 2003. "Explaining the dramatic changes in performance of US banks: technological change, deregulation, and dynamic changes in competition," Journal of Financial Intermediation, Elsevier, vol. 12(1), pages 57-95, January.
    3. Simar, L. & Wilson, P.W., 1998. "Productivity Growth in Industrialized Countries," Papers 9810, Catholique de Louvain - Institut de statistique.
    4. GIJBELS, Irène & MAMMEN, Enno & PARK, Byeong U. & SIMAR, Léopold, 1997. "On estimation of monotone and concave frontier functions," CORE Discussion Papers 1997031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Tsybakov, A.B. & Korostelev, A.P. & Simar, L., 1992. "Efficient Estimation of Monotone Boundaries," Papers 9209, Catholique de Louvain - Institut de statistique.
    6. Berger, Allen N. & Humphrey, David B., 1997. "Efficiency of financial institutions: International survey and directions for future research," European Journal of Operational Research, Elsevier, vol. 98(2), pages 175-212, April.
    7. Kneip, A & Park, B-U & Simar, L, 1996. "A Note on the Convergence of Nonparametric DEA Efficiency Measures," Papers 9603, Catholique de Louvain - Institut de statistique.
    8. Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
    9. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    10. Wheelock, David C. & Wilson, Paul W., 2001. "New evidence on returns to scale and product mix among U.S. commercial banks," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 653-674, June.
    11. Oulton,Nicholas & O'Mahony,Mary, 1994. "Productivity and Growth," Cambridge Books, Cambridge University Press, number 9780521453455, May.
    12. Léopold Simar, 2003. "Detecting Outliers in Frontier Models: A Simple Approach," Journal of Productivity Analysis, Springer, vol. 20(3), pages 391-424, November.
    13. McAllister, Patrick H. & McManus, Douglas, 1993. "Resolving the scale efficiency puzzle in banking," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 389-405, April.
    14. repec:cor:louvrp:-1139 is not listed on IDEAS
    15. Park, B.U. & Simar, L. & Weiner, Ch., 2000. "The Fdh Estimator For Productivity Efficiency Scores," Econometric Theory, Cambridge University Press, vol. 16(06), pages 855-877, December.
    16. Simar, Leopold & Wilson, Paul W., 1999. "Estimating and bootstrapping Malmquist indices," European Journal of Operational Research, Elsevier, vol. 115(3), pages 459-471, June.
    17. Cazals, Catherine & Florens, Jean-Pierre & Simar, Leopold, 2002. "Nonparametric frontier estimation: a robust approach," Journal of Econometrics, Elsevier, vol. 106(1), pages 1-25, January.
    18. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    19. Clark, Jeffrey A & Siems, Thomas F, 2002. "X-Efficiency in Banking: Looking beyond the Balance Sheet," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(4), pages 987-1013, November.
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    Citations

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    Cited by:

    1. Herrera, Santiago & Pang, Gaobo, 2005. "Efficiency of public spending in developing countries : an efficiency frontier approach," Policy Research Working Paper Series 3645, The World Bank.
    2. Santiago Herrera & Gaobo Pang, 2006. "How Efficient is Public Spending in Education?," ENSAYOS SOBRE POLÍTICA ECONÓMICA, BANCO DE LA REPÚBLICA - ESPE, vol. 24(51), pages 136-201, June.
    3. Uwe Cantner & Jens J. Krüger & René Söllner, 2012. "Product quality, product price, and share dynamics in the German compact car market," Industrial and Corporate Change, Oxford University Press, vol. 21(5), pages 1085-1115, October.
    4. Cristina Suárez & Justo Jorge, 2010. "Efficiency convergence processes and effects of regulation in the nonspecialized retail sector in Spain," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 44(3), pages 573-597, June.
    5. Alex Coad & Tom Broekel, 2012. "Firm growth and productivity growth: evidence from a panel VAR," Applied Economics, Taylor & Francis Journals, vol. 44(10), pages 1251-1269, April.
    6. Wheelock, David C. & Wilson, Paul W., 2008. "Non-parametric, unconditional quantile estimation for efficiency analysis with an application to Federal Reserve check processing operations," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 209-225, July.
    7. Santiago Herrera & Gaobo Pang, 2008. "Eficiency of Infrastructure: The Case of Container Ports," Economia, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics], vol. 9(1), pages 165-194.
    8. Binder, Martin & Broekel, Tom, 2008. "Conversion Efficiency as a Complementing Measure of Welfare in Capability Space," MPRA Paper 7583, University Library of Munich, Germany.
    9. Astrid Cullmann & Christian von Hirschhausen, 2007. "From Transition to Competition: Dynamic Efficiency Analysis of Polish Electricity Distribution Companies," Discussion Papers of DIW Berlin 716, DIW Berlin, German Institute for Economic Research.
    10. Anatoly Pilyavsky & Matthias Staat, 2008. "Efficiency and productivity change in Ukrainian health care," Journal of Productivity Analysis, Springer, vol. 29(2), pages 143-154, April.
    11. World Bank, 2009. "Belarus Agricultural Productivity and Competitiveness : Impact of State Support and Market Intervention," World Bank Other Operational Studies 18897, The World Bank.

    More about this item

    Keywords

    order-m; technical efficiency; productivity; frontier;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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