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When Bias Kills the Variance: Central Limit Theorems for DEA and FDH Efficiency Scores

Citations

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Cited by:

  1. Shawna Grosskopf & Kathy Hayes & Lori Taylor & William L Weber, 2017. "Would weighted-student funding enhance intra-district equity in Texas? A simulation using DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 377-389, April.
  2. Manh Pham & Léopold Simar & Valentin Zelenyuk, 2024. "Statistical Inference for Aggregation of Malmquist Productivity Indices," Operations Research, INFORMS, vol. 72(4), pages 1615-1629, July.
  3. Daraio, Cinzia & Di Leo, Simone & Simar, Léopold, 2025. "Conical Free Disposal Hull estimators of directional distances and Luenberger productivity indices for general technologies," European Journal of Operational Research, Elsevier, vol. 323(3), pages 907-917.
  4. Manh D. Pham & Valentin Zelenyuk, 2018. "Slack-based directional distance function in the presence of bad outputs: theory and application to Vietnamese banking," Empirical Economics, Springer, vol. 54(1), pages 153-187, February.
  5. Pham, Manh D. & Zelenyuk, Valentin, 2019. "Weak disposability in nonparametric production analysis: A new taxonomy of reference technology sets," European Journal of Operational Research, Elsevier, vol. 274(1), pages 186-198.
  6. Amir Moradi-Motlagh & Ali Emrouznejad, 2022. "The origins and development of statistical approaches in non-parametric frontier models: a survey of the first two decades of scholarly literature (1998–2020)," Annals of Operations Research, Springer, vol. 318(1), pages 713-741, November.
  7. Léopold Simar & Valentin Zelenyuk & Shirong Zhao, 2025. "Statistical inference for Hicks–Moorsteen productivity indices," Annals of Operations Research, Springer, vol. 351(2), pages 1675-1703, August.
  8. Valentin Zelenyuk, 2024. "Aggregation in efficiency and productivity analysis: a brief review with new insights and justifications for constant returns to scale," Journal of Productivity Analysis, Springer, vol. 62(3), pages 321-334, December.
  9. Worthington, Andrew C. & Zelenyuk, Valentin, 2018. "Data envelopment analysis, truncated regression and double-bootstrap for panel data with application to Chinese bankingAuthor-Name: Du, Kai," European Journal of Operational Research, Elsevier, vol. 265(2), pages 748-764.
  10. Du, Kai & Zelenyuk, Valentin, 2025. "Likelihood-ratio test for technological differences in two-stage data envelopment analysis for panel data," European Journal of Operational Research, Elsevier, vol. 321(2), pages 644-663.
  11. Paul W. Wilson, 2025. "Some Remarks on the Occasion of Léopold Simar’s Lifetime Achievement Award," Journal of Productivity Analysis, Springer, vol. 64(3), pages 341-347, December.
  12. Wilson, Paul W., 2018. "Dimension reduction in nonparametric models of production," European Journal of Operational Research, Elsevier, vol. 267(1), pages 349-367.
  13. Duan, Na & Guo, Jun-Peng & Xie, Bai-Chen, 2016. "Is there a difference between the energy and CO2 emission performance for China’s thermal power industry? A bootstrapped directional distance function approach," Applied Energy, Elsevier, vol. 162(C), pages 1552-1563.
  14. Rolf Färe & Valentin Zelenyuk, 2019. "Data Envelopment Analysis and Sequences in Hilbert Spaces," CEPA Working Papers Series WP132019, School of Economics, University of Queensland, Australia.
  15. Daraio, Cinzia & Simar, Léopold, 2014. "Directional distances and their robust versions: Computational and testing issues," European Journal of Operational Research, Elsevier, vol. 237(1), pages 358-369.
  16. Cordero, José Manuel & Pedraja-Chaparro, Francisco & Pisaflores, Elsa C. & Polo, Cristina, 2016. "Efficiency assessment of Portuguese municipalities using a conditional nonparametric approach," MPRA Paper 70674, University Library of Munich, Germany.
  17. Alexandre Marinho & Claudia Affonso Silva Araújo, 2021. "Using data envelopment analysis and the bootstrap method to evaluate organ transplantation efficiency in Brazil," Health Care Management Science, Springer, vol. 24(3), pages 569-581, September.
  18. Bao Hoang Nguyen & Léopold Simar & Valentin Zelenyuk, 2021. "Data Sharpening for improving CLT approximations for DEA-type efficiency estimators," CEPA Working Papers Series WP142021, School of Economics, University of Queensland, Australia.
  19. S. C. West & A. W. Mugera & R. S. Kingwell, 2022. "The choice of efficiency benchmarking metric in evaluating firm productivity and viability," Journal of Productivity Analysis, Springer, vol. 57(2), pages 193-211, April.
  20. Frédérique Fève & Jean-Pierre Florens & Léopold Simar, 2024. "Proportional incremental cost probability functions and their frontiers," Advanced Studies in Theoretical and Applied Econometrics, in: Subal C. Kumbhakar & Robin C. Sickles & Hung-Jen Wang (ed.), Advances in Applied Econometrics, pages 259-294, Springer.
  21. Léopold Simar & Paul W. Wilson, 2020. "Hypothesis testing in nonparametric models of production using multiple sample splits," Journal of Productivity Analysis, Springer, vol. 53(3), pages 287-303, June.
  22. Guangshun Qiao & Zhan-ao Wang, 2021. "Vertical integration vs. specialization: a nonparametric conditional efficiency estimate for the global semiconductor industry," Journal of Productivity Analysis, Springer, vol. 56(2), pages 139-150, December.
  23. Asjad Tariq Sheikh & Atakelty Hailu & Amin Mugera & Ram Pandit & Stephen Davies, 2024. "Soil quality evaluation for irrigated agroecological zones of Punjab, Pakistan: The Luenberger indicator approach," Agricultural Economics, International Association of Agricultural Economists, vol. 55(3), pages 531-553, May.
  24. Léopold Simar & Valentin Zelenyuk & Shirong Zhao, 2023. "Further improvements of finite sample approximation of central limit theorems for envelopment estimators," Journal of Productivity Analysis, Springer, vol. 59(2), pages 189-194, April.
  25. Bao Hoang Nguyen & Valentin Zelenyuk, 2021. "Aggregation of Outputs and Inputs for DEA Analysis of Hospital Efficiency: Economics, Operations Research and Data Science Perspectives," International Series in Operations Research & Management Science, in: Joe Zhu & Vincent Charles (ed.), Data-Enabled Analytics, pages 123-158, Springer.
  26. Zhichao Wang & Bao Hoang Nguyen & Valentin Zelenyuk, 2024. "Performance analysis of hospitals in Australia and its peers: a systematic and critical review," Journal of Productivity Analysis, Springer, vol. 62(2), pages 139-173, October.
  27. Valentin Zelenyuk, 2023. "Productivity analysis: roots, foundations, trends and perspectives," Journal of Productivity Analysis, Springer, vol. 60(3), pages 229-247, December.
  28. Valentin Zelenyuk & Shirong Zhao, 2023. "Further Improvements of Finite Sample Approximation of Central Limit Theorems for Weighted and Unweighted Malmquist Productivity Indices," CEPA Working Papers Series WP042023, School of Economics, University of Queensland, Australia.
  29. Mastromarco, Camilla & Simar, Léopold & Van Keilegom, Ingrid, 2022. "Estimating Nonparametric Conditional Frontiers and Efficiencies: A New Approach," LIDAM Discussion Papers ISBA 2022035, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
  30. Caitlin T. O’Loughlin & Paul W. Wilson, 2021. "Benchmarking the performance of US Municipalities," Empirical Economics, Springer, vol. 60(6), pages 2665-2700, June.
  31. Léopold Simar & Valentin Zelenyuk, 2018. "Improving Finite Sample Approximation by Central Limit Theorems for DEA and FDH efficiency scores," CEPA Working Papers Series WP072018, School of Economics, University of Queensland, Australia.
  32. Gearhart, Richard & Michieka, Nyakundi, 2019. "Natural resource abundance and healthcare efficiency in Appalachia: A robust conditional approach," Energy Policy, Elsevier, vol. 129(C), pages 985-996.
  33. Simar, Léopold & W. Wilson, Paul, 2019. "Central limit theorems and inference for sources of productivity change measured by nonparametric Malmquist indices," European Journal of Operational Research, Elsevier, vol. 277(2), pages 756-769.
  34. Cordero, Jose M. & Polo, Cristina & Santín, Daniel & Simancas, Rosa, 2018. "Efficiency measurement and cross-country differences among schools: A robust conditional nonparametric analysis," Economic Modelling, Elsevier, vol. 74(C), pages 45-60.
  35. Rolf Färe & Valentin Zelenyuk, 2021. "Sequential data envelopment analysis," Annals of Operations Research, Springer, vol. 300(1), pages 307-312, May.
  36. Paul W. Wilson & Shirong Zhao, 2023. "Investigating the performance of Chinese banks over 2007–2014," Annals of Operations Research, Springer, vol. 321(1), pages 663-692, February.
  37. Xinju He & Yi Liu, 2025. "Does privatization decrease the structural efficiency in the Chinese hospital sector?," Health Economics Review, Springer, vol. 15(1), pages 1-17, December.
  38. Mike Tsionas & Valentin Zelenyuk, 2021. "Goodness-of-fit in Optimizing Models of Production: A Generalization with a Bayesian Perspective," CEPA Working Papers Series WP182021, School of Economics, University of Queensland, Australia.
  39. Pieralli, Simone & Ritter, Matthias & Odening, Martin, 2015. "Efficiency of wind power production and its determinants," Energy, Elsevier, vol. 90(P1), pages 429-438.
  40. Nguyen, Bao Hoang & Simar, Léopold & Zelenyuk, Valentin, 2022. "Data sharpening for improving central limit theorem approximations for data envelopment analysis–type efficiency estimators," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1469-1480.
  41. Daraio, Cinzia & Simar, Léopold, 2022. "Approximations and Inference for Nonparametric Production Frontiers," LIDAM Discussion Papers ISBA 2022017, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
  42. Qiao Guangshun & Lu Yulin, 2024. "Operating Efficiency in the Capital-Intensive Semiconductor Industry: A Nonparametric Frontier Approach," Economics - The Open-Access, Open-Assessment Journal, De Gruyter, vol. 18(1), pages 1-17, January.
  43. Robin C. Sickles & Wonho Song & Valentin Zelenyuk, 2018. "Econometric Analysis of Productivity: Theory and Implementation in R," CEPA Working Papers Series WP082018, School of Economics, University of Queensland, Australia.
  44. Valentin Zelenyuk, 2019. "Data Envelopment Analysis and Business Analytics: The Big Data Challenges and Some Solutions," CEPA Working Papers Series WP072019, School of Economics, University of Queensland, Australia.
  45. Valentin Zelenyuk, 2026. "Estimation and inference for aggregate productivity and efficiency measures: brief overview and reminiscences," Journal of Productivity Analysis, Springer, vol. 65(2), pages 1-9, June.
  46. Kerstens, Kristiaan & O’Donnell, Christopher & Van de Woestyne, Ignace & Zhao, Shirong, 2026. "When cost metafrontiers are nonconvex in the outputs, then the production metafrontier is nonconvex: the price of a convexification strategy," European Journal of Operational Research, Elsevier, vol. 328(1), pages 324-335.
  47. Sokol, Ondřej & Frýd, Lukáš, 2023. "DEA efficiency in agriculture: Measurement unit issues," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).
  48. Bator Anne & Walter Briec, 2024. "Distance Functions in Some Class of Infinite Dimensional Vector Spaces," Journal of Optimization Theory and Applications, Springer, vol. 201(2), pages 899-931, May.
  49. Simar, Léopold & Zelenyuk, Valentin & Zhao, Shirong, 2024. "Inference for aggregate efficiency: Theory and guidelines for practitioners," European Journal of Operational Research, Elsevier, vol. 316(1), pages 240-254.
  50. D’Inverno, Giovanna & Smet, Mike & De Witte, Kristof, 2021. "Impact evaluation in a multi-input multi-output setting: Evidence on the effect of additional resources for schools," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1111-1124.
  51. Jin, Zhuo & Zhou, Zhixiang & Wu, Huaqing, 2025. "Enhancing digital manufacturing efficiency and dominance relation driven big Data analytics," International Journal of Production Economics, Elsevier, vol. 289(C).
  52. Zelenyuk, Valentin & Zhao, Shirong, 2024. "Russell and slack-based measures of efficiency: A unifying framework," European Journal of Operational Research, Elsevier, vol. 318(3), pages 867-876.
  53. Paul W. Wilson & Shirong Zhao, 2025. "A non-parametric analysis of world productivity growth, 1990–2019," Annals of Operations Research, Springer, vol. 346(3), pages 2253-2285, March.
  54. Rolf Färe & Zhichao Wang & Valentin Zelenyuk, 2025. "Sequential data envelopment analysis: decentralization and solutions for panel data," Journal of Productivity Analysis, Springer, vol. 63(3), pages 261-268, June.
  55. Léopold Simar & Paul W. Wilson, 2023. "Another look at productivity growth in industrialized countries," Journal of Productivity Analysis, Springer, vol. 60(3), pages 257-272, December.
  56. Hampf, Benjamin & Rødseth, Kenneth Løvold, 2015. "Carbon dioxide emission standards for U.S. power plants: An efficiency analysis perspective," Energy Economics, Elsevier, vol. 50(C), pages 140-153.
  57. Robin C. Sickles, 2023. "Special Symposium on Lifetime Achievements of Rolf Färe and Shawna Grosskopf," Journal of Productivity Analysis, Springer, vol. 60(3), pages 227-228, December.
  58. Oleg Badunenko & Daniel J. Henderson & Valentin Zelenyuk, 2017. "The Productivity of Nations," Working Papers in Economics & Finance 2017-05, University of Portsmouth, Portsmouth Business School, Economics and Finance Subject Group.
  59. Robert G. Chambers & Simone Pieralli & Yu Sheng, 2020. "The Millennium Droughts and Australian Agricultural Productivity Performance: A Nonparametric Analysis," American Journal of Agricultural Economics, John Wiley & Sons, vol. 102(5), pages 1383-1403, October.
  60. Mette Asmild & Dorte Kronborg & Anders Rønn-Nielsen, 2018. "Testing productivity change, frontier shift, and efficiency change," IFRO Working Paper 2018/07, University of Copenhagen, Department of Food and Resource Economics.
  61. Léopold Simar & Valentin Zelenyuk, 2018. "Central Limit Theorems for Aggregate Efficiency," Operations Research, INFORMS, vol. 66(1), pages 137-149, January.
  62. Simar, Léopold & Zelenyuk, Valentin, 2020. "Improving finite sample approximation by central limit theorems for estimates from Data Envelopment Analysis," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1002-1015.
  63. Tsionas, Mike & Zelenyuk, Valentin & Zhang, Xibin, 2025. "Goodness-of-fit in production models: A Bayesian perspective," European Journal of Operational Research, Elsevier, vol. 324(2), pages 644-653.
  64. Cinzia Daraio & Léopold Simar, 2024. "Approximations and inference for envelopment estimators of production frontiers," Journal of Productivity Analysis, Springer, vol. 62(2), pages 197-215, October.
  65. Cordero, José Manuel & Salinas-Jiménez, Javier & Salinas-Jiménez, M Mar, 2017. "Exploring factors affecting the level of happiness across countries: A conditional robust nonparametric frontier analysis," European Journal of Operational Research, Elsevier, vol. 256(2), pages 663-672.
  66. José Solana‐Ibáñez & Manuel Caravaca‐Garratón, 2021. "Stakeholder engagement and corporate social reputation: The influence of exogenous factors on efficiency performance (stakeholder engagement and exogenous factors): Stakeholder engagement and exogenous factors," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 28(6), pages 1891-1905, November.
  67. Simar, Léopold & Wilson, Paul W., 2020. "Technical, allocative and overall efficiency: Estimation and inference," European Journal of Operational Research, Elsevier, vol. 282(3), pages 1164-1176.
  68. Kerstens, Kristiaan & Roets, Bart & Van de Woestyne, Ignace & Zhao, Shirong, 2026. "An exploratory analysis of learning from peers: Radial vs. nonradial efficiency measures and convex vs. nonconvex technologies," European Journal of Operational Research, Elsevier, vol. 329(3), pages 1052-1062.
  69. Gearhart, Richard S. & Michieka, Nyakundi M., 2018. "A comparison of the robust conditional order-m estimation and two stage DEA in measuring healthcare efficiency among California counties," Economic Modelling, Elsevier, vol. 73(C), pages 395-406.
  70. Kerstens, Kristiaan & Zhao, Shirong, 2025. "Testing the convexity hypothesis in nonparametric cost functions," Economics Letters, Elsevier, vol. 247(C).
  71. Raul Moragues & Juan Aparicio & Miriam Esteve, 2023. "Measuring technical efficiency for multi-input multi-output production processes through OneClass Support Vector Machines: a finite-sample study," Operational Research, Springer, vol. 23(3), pages 1-33, September.
  72. Anders Rønn-Nielsen & Dorte Kronborg & Mette Asmild, 2019. "Exact tests on returns to scale and comparisons of production frontiers in nonparametric models," IFRO Working Paper 2019/04, University of Copenhagen, Department of Food and Resource Economics.
  73. Ali Emrouznejad & Victor Podinovski & Vincent Charles & Chixiao Lu & Amir Moradi-Motlagh, 2025. "Rajiv Banker’s lasting impact on data envelopment analysis," Annals of Operations Research, Springer, vol. 351(2), pages 1225-1264, August.
  74. Holý, Vladimír, 2024. "Ranking-based second stage in data envelopment analysis: An application to research efficiency in higher education," Operations Research Perspectives, Elsevier, vol. 12(C).
  75. Daraio, Cinzia & Di Leo, Simone & Simar, Léopold, 2024. "Conical FDH Estimators of Directional Distances and Luenberger Productivity Indices for General Technologies," LIDAM Discussion Papers ISBA 2024009, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
  76. M. Mujiya Ulkhaq & Giorgia Oggioni & Rossana Riccardi, 2024. "Two-stage super-efficiency model for measuring efficiency of education in South-East Asia," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 47(2), pages 513-543, December.
  77. Lisciandra, Maurizio & Milani, Riccardo & Millemaci, Emanuele, 2022. "A corruption risk indicator for public procurement," European Journal of Political Economy, Elsevier, vol. 73(C).
  78. Xiao, Helu & Zhou, Zhongbao & Ren, Teng & Liu, Wenbin, 2022. "Estimation of portfolio efficiency in nonconvex settings: A free disposal hull estimator with non-increasing returns to scale," Omega, Elsevier, vol. 111(C).
  79. Bao Hoang Nguyen & Valentin Zelenyuk, 2020. "Aggregate Efficiency of Industry and its Groups: The case of Queensland Public Hospitals," CEPA Working Papers Series WP062020, School of Economics, University of Queensland, Australia.
  80. Robert G. Chambers & Simone Pieralli, 2020. "The Sources of Measured US Agricultural Productivity Growth: Weather, Technological Change, and Adaptation," American Journal of Agricultural Economics, John Wiley & Sons, vol. 102(4), pages 1198-1226, August.
  81. Zelenyuk, Valentin, 2020. "Aggregation of inputs and outputs prior to Data Envelopment Analysis under big data," European Journal of Operational Research, Elsevier, vol. 282(1), pages 172-187.
  82. Gearhart Richard, 2019. "The Impact of Secondary Environmental Variables on OECD Healthcare Efficiency: A Robust Conditional Approach," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 19(2), pages 1-16, April.
  83. Paul W. Wilson, 2025. "A Generalized Hyperbolic Distance Function for Benchmarking Performance: Estimation and Inference," Computational Economics, Springer;Society for Computational Economics, vol. 65(6), pages 3077-3110, June.
  84. Bao Hoang Nguyen & Valentin Zelenyuk, 2021. "Aggregate efficiency of industry and its groups: the case of Queensland public hospitals," Empirical Economics, Springer, vol. 60(6), pages 2795-2836, June.
  85. Wang, Mengyuan & Chen, Ya & Zelenyuk, Valentin, 2025. "DEA for big wide data based on regularization approaches: An application to energy efficiency analysis," Energy Economics, Elsevier, vol. 152(C).
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