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FDH Directional Distance Functions with an Application to European Commercial Banks

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  • Laurens Cherchye
  • Timo Kuosmanen
  • Thierry Post

Abstract

Weextend Free Disposable Hull (FDH) efficiency analysis towardsthe general directional distance function framework. The profitinterpretation of directional distance functions is extendedto the non-convex FDH technologies. In addition, we derive anefficient enumerative algorithm for computing distance measuresin Free Disposable Hull (FDH) technologies, which applies tothe entire (infinitely large) family of directional distancefunctions. A simple numerical example and an application to Europeancommercial banks illustrate the algorithm. Copyright Kluwer Academic Publishers 2001

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  • Laurens Cherchye & Timo Kuosmanen & Thierry Post, 2001. "FDH Directional Distance Functions with an Application to European Commercial Banks," Journal of Productivity Analysis, Springer, vol. 15(3), pages 201-215, January.
    • Handle: RePEc:kap:jproda:v:15:y:2001:i:3:p:201-215
    DOI: 10.1023/A:1011176325187
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    1. Mercedes Beltrán-Esteve & José Gómez-Limón & Andrés Picazo-Tadeo & Ernest Reig-Martínez, 2014. "A metafrontier directional distance function approach to assessing eco-efficiency," Journal of Productivity Analysis, Springer, vol. 41(1), pages 69-83, February.
    2. Qianying Jin & Kristiaan Kerstens & Ignace Van de Woestyne, 2024. "Convex and nonconvex nonparametric frontier-based classification methods for anomaly detection," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 46(4), pages 1213-1239, December.
    3. Keshvari, Abolfazl & Kuosmanen, Timo, 2013. "Stochastic non-convex envelopment of data: Applying isotonic regression to frontier estimation," European Journal of Operational Research, Elsevier, vol. 231(2), pages 481-491.
    4. S Blancard & J-P Boussemart & H Leleu, 2011. "Measuring potential gains from specialization under non-convex technologies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1871-1880, October.
    5. Leleu, Herve, 2006. "A linear programming framework for free disposal hull technologies and cost functions: Primal and dual models," European Journal of Operational Research, Elsevier, vol. 168(2), pages 340-344, January.
    6. Özlem O. Akdeniz & Hussein A. Abdou & Ali I. Hayek & Jacinta C. Nwachukwu & Ahmed A. Elamer & Chris Pyke, 2024. "Technical efficiency in banks: a review of methods, recent innovations and future research agenda," Review of Managerial Science, Springer, vol. 18(11), pages 3395-3456, November.
    7. Walter Briec & Kristiaan Kerstens, 2006. "Input, output and graph technical efficiency measures on non-convex FDH models with various scaling laws: An integrated approach based upon implicit enumeration algorithms," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 135-166, June.
    8. Víctor M. Giménez García, 2004. "Un modelo FDH para la medida de la eficiencia en costes de los departamentos universitarios," Hacienda Pública Española / Review of Public Economics, IEF, vol. 168(1), pages 69-92, march.
    9. Kristiaan Kerstens & Ignace Van de Woestyne, 2018. "Enumeration algorithms for FDH directional distance functions under different returns to scale assumptions," Annals of Operations Research, Springer, vol. 271(2), pages 1067-1078, December.
    10. Kristof De Witte & Elbert Dijkgraaf, 2007. "Mean and Bold?," Tinbergen Institute Discussion Papers 07-092/3, Tinbergen Institute.
    11. Maryam Hasannasab & Dimitris Margaritis & Christos Staikouras, 2019. "The financial crisis and the shadow price of bank capital," Annals of Operations Research, Springer, vol. 282(1), pages 131-154, November.
    12. Agustin Carstens & Luis I. Jacome H., 2005. "Latin American Central Bank Reform: Progress and Challenges," Macroeconomics 0509022, University Library of Munich, Germany.
    13. Cherchye, L. & Post, G.T., 2001. "Methodological Advances in Dea," ERIM Report Series Research in Management ERS-2001-53-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    14. Laurens Cherchye & Tom Van Puyenbroeck, 2001. "Technical Efficiency Evaluation: Naturally Dual!," Public Economics Working Paper Series wptchff, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
    15. H Leleu, 2009. "Mixing DEA and FDH models together," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(12), pages 1730-1737, December.
    16. Mahmood Mehdiloo & Jafar Sadeghi & Kristiaan Kerstens, 2024. "Top Down Axiomatic Modeling of Metatechnologies and Evaluating Directional Economic Efficiency," Working Papers 2024-EQM-03, IESEG School of Management.
    17. Maria Silva Portela & Pedro Borges & Emmanuel Thanassoulis, 2003. "Finding Closest Targets in Non-Oriented DEA Models: The Case of Convex and Non-Convex Technologies," Journal of Productivity Analysis, Springer, vol. 19(2), pages 251-269, April.
    18. 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.
    19. K De Witte & E Dijkgraaf, 2010. "Mean and bold? On separating merger economies from structural efficiency gains in the drinking water sector," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(2), pages 222-234, February.
    20. Ravelojaona, Paola, 2019. "On constant elasticity of substitution – Constant elasticity of transformation Directional Distance Functions," European Journal of Operational Research, Elsevier, vol. 272(2), pages 780-791.
    21. Haleh Delnava & Kristiaan Kerstens & Timo Kuosmanen & Zhiyang Shen, 2024. "Semi-parametric Estimation of Convex and Nonconvex By-Production Technologies," Working Papers 2024-EQM-02, IESEG School of Management.
    22. Mohsen Afsharian & Heinz Ahn, 2015. "The overall Malmquist index: a new approach for measuring productivity changes over time," Annals of Operations Research, Springer, vol. 226(1), pages 1-27, March.
    23. Ching-Ren Chiu & Ming-Chung Chang & Jin-Li Hu, 2022. "Energy intensity improvement and energy productivity changes: an analysis of BRICS and G7 countries," Journal of Productivity Analysis, Springer, vol. 57(3), pages 297-311, June.
    24. Ang, Frederic & Kerstens, Pieter Jan, 2017. "Decomposing the Luenberger–Hicks–Moorsteen Total Factor Productivity indicator: An application to U.S. agriculture," European Journal of Operational Research, Elsevier, vol. 260(1), pages 359-375.
    25. Yagi, Michiyuki & Hidemichi, Fujii & Hoang, Vincent & Managi, Shunsuke, 2015. "Environmental efficiency of energy, materials, and emissions," MPRA Paper 65358, University Library of Munich, Germany.

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