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Non-parametric, unconditional quantile estimation for efficiency analysis with an application to Federal Reserve check processing operations

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  • Wheelock, David C.
  • Wilson, Paul W.

Abstract

This paper examines the technical efficiency of U.S. Federal Reserve check processing offices over 1980–2003. We extend results from Park et al. (2000) and Daouia and Simar (2007) to develop an unconditional, hyperbolic, a-quantile estimator of efficiency. Our new estimator is fully non-parametric and robust with respect to outliers; when used to estimate distance to quantiles lying close to the full frontier, it is strongly consistent and converges at rate root-n, thus avoiding the curse of dimensionality that plagues data envelopment analysis (DEA) estimators. Our methods could be used by policymakers to compare inefficiency levels across offices or by managers of individual offices to identify peer offices.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 145 (2008)
Issue (Month): 1-2 (July)
Pages: 209-225

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Handle: RePEc:eee:econom:v:145:y:2008:i:1-2:p:209-225

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Web page: http://www.elsevier.com/locate/jeconom

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References

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  1. Bauer, Paul W & Ferrier, Gary D, 1996. "Scale Economies, Cost Efficiencies, and Technological Change in Federal Reserve Payments Processing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(4), pages 1004-39, November.
  2. 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.
  3. David C. Wheelock & Paul W. Wilson, 2000. "Why do Banks Disappear? The Determinants of U.S. Bank Failures and Acquisitions," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 127-138, February.
  4. KNEIP, Alois & PARK, Byeong U. & SIMAR, Léopold, 1996. "A Note on the Convergence of Nonparametric DEA Efficiency Measures," CORE Discussion Papers 1996039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. David C. Wheelock & Paul Wilson, 2004. "Trends in the efficiency of Federal Reserve check processing operations," Review, Federal Reserve Bank of St. Louis, issue Sep, pages 7-20.
  6. Tsybakov, A.B. & Korostelev, A.P. & Simar, L., 1992. "Efficient Estimation of Monotone Boundaries," Papers 9209, Catholique de Louvain - Institut de statistique.
  7. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
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  10. Allen N. Berger & David B. Humphrey, 1997. "Efficiency of Financial Institutions: International Survey and Directions for Future Research," Center for Financial Institutions Working Papers 97-05, Wharton School Center for Financial Institutions, University of Pennsylvania.
  11. 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.
  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. R. Alton Gilbert & David C. Wheelock & Paul W. Wilson, 2002. "New evidence on the Fed's productivity in providing payments services," Working Papers 2002-020, Federal Reserve Bank of St. Louis.
  14. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
  15. Cinzia Daraio & Leopold Simar, 2003. "Introducing Environmental Variables in Nonparametric Frontier Models: a Probabilistic Approach," LEM Papers Series 2003/17, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  16. Leopold Simar & Paul Wilson, 2000. "A general methodology for bootstrapping in non-parametric frontier models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(6), pages 779-802.
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  20. Simar, L. & Wilson, P.W., 1999. "Statistical Inference in Nonparametric Frontier Models: the State of the Art," Papers 9904, Catholique de Louvain - Institut de statistique.
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  28. 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.
  29. Aragon, Y. & Daouia, A. & Thomas-Agnan, C., 2005. "Nonparametric Frontier Estimation: A Conditional Quantile-Based Approach," Econometric Theory, Cambridge University Press, vol. 21(02), pages 358-389, April.
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Citations

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Cited by:
  1. Simar, Léopold & Vanhems, Anne, 2010. "Probabilistic Characterization of Directional Distances and their Robust Versions," TSE Working Papers 10-195, Toulouse School of Economics (TSE).
  2. Léopold Simar & Paul Wilson, 2011. "Inference by the m out of n bootstrap in nonparametric frontier models," Journal of Productivity Analysis, Springer, vol. 36(1), pages 33-53, August.
  3. Bruffaerts, C. & De Rock, B. & Dehon, C., 2013. "The robustness of the hyperbolic efficiency estimator," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 349-363.
  4. Simar, Léopold & Vanhems, Anne & Wilson, Paul W., 2012. "Statistical inference for DEA estimators of directional distances," European Journal of Operational Research, Elsevier, vol. 220(3), pages 853-864.
  5. David C. Wheelock & Paul Wilson, 2009. "Robust, dynamic nonparametric benchmarking: the evolution of cost-productivity and efficiency among U.S. credit unions," Working Papers 2009-008, Federal Reserve Bank of St. Louis.
  6. Mamatzakis, E & Koutsomanoli-Filippaki, Anastasia & Pasiouras, Fotios, 2012. "A quantile regression approach to bank efficiency measurement," MPRA Paper 51879, University Library of Munich, Germany.
  7. Calogero Guccio & Giacomo Pignataro & Ilde Rizzo, 2014. "Evaluating the efficiency of public procurement contracts for cultural heritage conservation works in Italy," Journal of Cultural Economics, Springer, vol. 38(1), pages 43-70, February.
  8. 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.

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