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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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Author Info
David C. Wheelock
Paul Wilson

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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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Paper provided by Federal Reserve Bank of St. Louis in its series Working Papers with number 2005-027.

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Date of creation: 2007
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Handle: RePEc:fip:fedlwp:2005-027

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Keywords: Check collection systems ; Payment systems;

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  1. Léopold Simar, Paul W. Wilson, 2000. "A general methodology for bootstrapping in non-parametric frontier models," Journal of Applied Statistics, Taylor and Francis Journals, vol. 27(6), pages 779-802, August. [Downloadable!] (restricted)
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  2. 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. [Downloadable!] (restricted)
  3. Geoffrey R. Gerdes & Jack K . Walton II, 2002. "The use of checks and other noncash payment instruments in the United States," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Aug, pages 360-374. [Downloadable!]
  4. Alois Kneip & Léopold Simar & Paul W. Wilson, 2006. "Asymptotics and Consistent Bootstraps for DEA Estimators in Non-parametric Frontier Models," Bonn Econ Discussion Papers bgse12_2006, University of Bonn, Germany. [Downloadable!]
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  5. Gilbert, R. Alton & Wheelock, David C. & Wilson, Paul W., 2004. "New evidence on the Fed's productivity in providing payments services," Journal of Banking & Finance, Elsevier, vol. 28(9), pages 2175-2190, September. [Downloadable!] (restricted)
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  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. [Downloadable!] (restricted)
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  7. Wilson, Paul W, 1993. "Detecting Outliers in Deterministic Nonparametric Frontier Models with Multiple Outputs," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 319-23, July.
  8. 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.
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  9. Cinzia Daraio & Léopold Simar, 2005. "Introducing Environmental Variables in Nonparametric Frontier Models: a Probabilistic Approach," Journal of Productivity Analysis, Springer, vol. 24(1), pages 93-121, 09. [Downloadable!] (restricted)
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  10. David C. Wheelock & Paul W. Wilson, 1993. "Explaining bank failures: deposit insurance, regulation, and efficiency," Working Papers 1993-002, Federal Reserve Bank of St. Louis. [Downloadable!]
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  11. Tsybakov, A.B. & Korostelev, A.P. & Simar, L., 1992. "Efficient Estimation of Monotone Boundaries," Papers 9209, Catholique de Louvain - Institut de statistique.
  12. Daouia, Abdelaati & Simar, Leopold, 2007. "Nonparametric efficiency analysis: A multivariate conditional quantile approach," Journal of Econometrics, Elsevier, vol. 140(2), pages 375-400, October. [Downloadable!] (restricted)
  13. 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. [Downloadable!]
  14. Guilkey, David K & Lovell, C A Knox & Sickles, Robin C, 1983. "A Comparison of the Performance of Three Flexible Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 591-616, October. [Downloadable!] (restricted)
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  1. 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. [Downloadable!]
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