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Robust nonparametric estimation of efficiency and technical change in U.S. commercial banking

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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 expected maximum output among m banks using no more of each input than the given bank. This approach permits fully non-parametric estimation with vn-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.

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  • David C. Wheelock & Paul W. Wilson, 2003. "Robust nonparametric estimation of efficiency and technical change in U.S. commercial banking," Working Papers 2003-037, Federal Reserve Bank of St. Louis.
    • Handle: RePEc:fip:fedlwp:2003-037
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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. GIJBELS, Irène & MAMMEN, Enno & PARK, Byeong U. & SIMAR, Léopold, 1997. "On estimation of monotone and concave frontier functions," LIDAM Discussion Papers CORE 1997031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Tsybakov, A.B. & Korostelev, A.P. & Simar, L., 1992. "Efficient Estimation of Monotone Boundaries," Papers 9209, Catholique de Louvain - Institut de statistique.
    5. 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.
    6. 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.
    7. Alam, Ila M Semenick, 2001. "A Nonparametric Approach for Assessing Productivity Dynamics of Large U.S. Banks," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(1), pages 121-139, February.
    8. 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.
    9. repec:cor:louvrp:-1139 is not listed on IDEAS
    10. Park, B.U. & Simar, L. & Weiner, Ch., 2000. "The Fdh Estimator For Productivity Efficiency Scores," Econometric Theory, Cambridge University Press, vol. 16(6), pages 855-877, December.
    11. 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.
    12. Simar, Leopold & Wilson, Paul W., 1999. "Estimating and bootstrapping Malmquist indices," European Journal of Operational Research, Elsevier, vol. 115(3), pages 459-471, June.
    13. Oulton,Nicholas & O'Mahony,Mary, 1994. "Productivity and Growth," Cambridge Books, Cambridge University Press, number 9780521453455.
    14. Léopold Simar, 2003. "Detecting Outliers in Frontier Models: A Simple Approach," Journal of Productivity Analysis, Springer, vol. 20(3), pages 391-424, November.
    15. SIMAR, Léopold & WILSON, Paul W., 1998. "Productivity growth in industrialized countries," LIDAM Discussion Papers CORE 1998036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. 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.
    17. 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.
    18. 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.
    19. Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
    20. 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.
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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. Kevork, Ilias S. & Pange, Jenny & Tzeremes, Panayiotis & Tzeremes, Nickolaos G., 2017. "Estimating Malmquist productivity indexes using probabilistic directional distances: An application to the European banking sector," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1125-1140.
    3. 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.
    4. Mustapha D. Ibrahim & Sahand Daneshvar & Mevhibe B. Hocaoğlu & Olasehinde-Williams G. Oluseye, 2019. "An Estimation of the Efficiency and Productivity of Healthcare Systems in Sub-Saharan Africa: Health-Centred Millennium Development Goal-Based Evidence," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(1), pages 371-389, May.
    5. 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.
    6. Vaneet Bhatia & Sankarshan Basu & Subrata Kumar Mitra & Pradyumna Dash, 2018. "A review of bank efficiency and productivity," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 557-600, November.
    7. Santiago Herrera & Gaobo Pang, 2008. "Eficiency of Infrastructure: The Case of Container Ports," Economia, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics], vol. 9(1), pages 165-194.
    8. Jean-Paul Chavas & Kwansoo Kim, 2015. "Nonparametric analysis of technology and productivity under non-convexity: a neighborhood-based approach," Journal of Productivity Analysis, Springer, vol. 43(1), pages 59-74, February.
    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. Besstremyannaya, Galina, 2017. "Heterogeneous effect of the global financial crisis and the Great East Japan Earthquake on costs of Japanese banks," Journal of Empirical Finance, Elsevier, vol. 42(C), pages 66-89.
    11. Tom Broekel, 2015. "Do Cooperative Research and Development (R&D) Subsidies Stimulate Regional Innovation Efficiency? Evidence from Germany," Regional Studies, Taylor & Francis Journals, vol. 49(7), pages 1087-1110, July.
    12. Santiago Herrera & Gaobo Pang, 2006. "How Efficient is Public Spending in Education?," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 24(51), pages 136-201, June.
    13. Brandon Pope & Andrew Johnson, 2013. "Returns to scope: a metric for production synergies demonstrated for hospital production," Journal of Productivity Analysis, Springer, vol. 40(2), pages 239-250, October.
    14. World Bank, 2009. "Belarus Agricultural Productivity and Competitiveness : Impact of State Support and Market Intervention," World Bank Publications - Reports 18897, The World Bank Group.
    15. Ljubica Nedelkoska, 2010. "Occupations at risk: The task content and job stability," Jena Economics Research Papers 2010-024, Friedrich-Schiller-University Jena.
    16. 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.
    17. Hariom Gurjar & Akhilesh Tripathi & Mahesh C. Joshi, 2021. "The Bank Efficiency through Off-Balance Sheet Items’ Window: A Malmquist Approach," Vision, , vol. 25(4), pages 448-459, December.
    18. Binder, Martin & Broekel, Tom, 2008. "Conversion Efficiency as a Complementing Measure of Welfare in Capability Space," MPRA Paper 7583, University Library of Munich, Germany.
    19. Ghulam, Yaseen & Mousa, Wael I., 2019. "Estimation of productivity growth in the Saudi higher education sector," Technological Forecasting and Social Change, Elsevier, vol. 149(C).
    20. Wheelock, David C. & Wilson, Paul W., 2013. "The evolution of cost-productivity and efficiency among US credit unions," Journal of Banking & Finance, Elsevier, vol. 37(1), pages 75-88.
    21. 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.
    22. Nickolaos G Tzeremes, 2019. "Hotel productivity: A robust Luenberger productivity indicator," Tourism Economics, , vol. 25(6), pages 987-996, September.
    23. Alda A. Henriques & Milton Fontes & Ana S. Camanho & Giovanna D’Inverno & Pedro Amorim & Jaime Gabriel Silva, 2022. "Performance evaluation of problematic samples: a robust nonparametric approach for wastewater treatment plants," Annals of Operations Research, Springer, vol. 315(1), pages 193-220, August.

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    More about this item

    Keywords

    Banks and banking; Econometrics;

    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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