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Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity

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Cited by:

  1. Kerstens, Kristiaan & Sadeghi, Jafar & Toloo, Mehdi & Van de Woestyne, Ignace, 2022. "Procedures for ranking technical and cost efficient units: With a focus on nonconvexity," European Journal of Operational Research, Elsevier, vol. 300(1), pages 269-281.
  2. Färe, Rolf & Zelenyuk, Valentin, 2020. "Profit efficiency: Generalization, business accounting and the role of convexity," Economics Letters, Elsevier, vol. 196(C).
  3. 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.
  4. 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.
  5. Abad, Arnaud & Briec, Walter, 2019. "On the axiomatic of pollution-generating technologies: Non-parametric production analysis," European Journal of Operational Research, Elsevier, vol. 277(1), pages 377-390.
  6. Caporin, Massimiliano & Costola, Michele & Jannin, Gregory & Maillet, Bertrand, 2018. "“On the (Ab)use of Omega?”," Journal of Empirical Finance, Elsevier, vol. 46(C), pages 11-33.
  7. Balaguer-Coll, Maria Teresa & Prior, Diego & Tortosa-Ausina, Emili, 2007. "On the determinants of local government performance: A two-stage nonparametric approach," European Economic Review, Elsevier, vol. 51(2), pages 425-451, February.
  8. Rolf Färe & Giannis Karagiannis, 2023. "Translation efficiency and directionally optimal scale," Journal of Economics, Springer, vol. 140(3), pages 259-273, December.
  9. Kristiaan Kerstens & Ignace Van de Woestyne, 2021. "Cost functions are nonconvex in the outputs when the technology is nonconvex: convexification is not harmless," Annals of Operations Research, Springer, vol. 305(1), pages 81-106, October.
  10. Kerstens, Kristiaan & Mazza, Paolo & Ren, Tiantian & Van de Woestyne, Ignace, 2022. "Multi-Time and Multi-Moment Nonparametric Frontier-Based Fund Rating: Proposal and Buy-and-Hold Backtesting Strategy," Omega, Elsevier, vol. 113(C).
  11. Vrankić Ilko & Krpan Mira, 2016. "Pseudoproduction, Pseudocost and Profit Functions in Monopoly from the Dual Perspective," Business Systems Research, Sciendo, vol. 7(2), pages 49-64, September.
  12. Xiaoqing Chen & Kristiaan Kerstens & Qingyuan Zhu, 2021. "Exploring Horizontal Mergers in Swedish District Courts Using Convex and Nonconvex Technologies: Usefulness of a Conservative Approach," Working Papers 2021-EQM-05, IESEG School of Management.
  13. Kerstens, Kristiaan & Van de Woestyne, Ignace, 2014. "Comparing Malmquist and Hicks–Moorsteen productivity indices: Exploring the impact of unbalanced vs. balanced panel data," European Journal of Operational Research, Elsevier, vol. 233(3), pages 749-758.
  14. Mehdiloozad, Mahmood & Podinovski, Victor V., 2018. "Nonparametric production technologies with weakly disposable inputs," European Journal of Operational Research, Elsevier, vol. 266(1), pages 247-258.
  15. Boussemart, Jean-Philippe & Briec, Walter & Peypoch, Nicolas & Tavéra, Christophe, 2009. "[alpha]-Returns to scale and multi-output production technologies," European Journal of Operational Research, Elsevier, vol. 197(1), pages 332-339, August.
  16. Kristof Witte & Rui Marques, 2011. "Big and beautiful? On non-parametrically measuring scale economies in non-convex technologies," Journal of Productivity Analysis, Springer, vol. 35(3), pages 213-226, June.
  17. J. Vakili & R. Sadighi Dizaji, 2021. "The closest strong efficient targets in the FDH technology: an enumeration method," Journal of Productivity Analysis, Springer, vol. 55(2), pages 91-105, April.
  18. Emili Tortosa Ausina & Diego Prior & María Teresa Balaguer-Coll, 2006. "Decentralization And Effiency In Spanish Local Goverment," Working Papers. Serie EC 2006-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  19. David J Mayston, 2017. "Convexity, quality and efficiency in education," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 446-455, April.
  20. Cinzia Daraio & Léopold Simar, 2007. "Conditional nonparametric frontier models for convex and nonconvex technologies: a unifying approach," Journal of Productivity Analysis, Springer, vol. 28(1), pages 13-32, October.
  21. Sahoo, Biresh K. & Tone, Kaoru, 2013. "Non-parametric measurement of economies of scale and scope in non-competitive environment with price uncertainty," Omega, Elsevier, vol. 41(1), pages 97-111.
  22. Bruno De Borger & Kristiaan Kerstens & Diego Prior & Ignace Van de Woestyne, 2013. "Static efficiency decompositions and capacity utilization: integrating economic and technical capacity notions," Applied Economics, Taylor & Francis Journals, vol. 45(24), pages 3529-3529, August.
  23. Lambini, Cosmas Kombat & Nguyen, Trung Thanh & Abildtrup, Jens & Pham, Van Dien & Tenhunen, John & Garcia, Serge, 2018. "Are Ecosystem Services Complementary or Competitive? An Econometric Analysis of Cost Functions of Private Forests in Vietnam," Ecological Economics, Elsevier, vol. 147(C), pages 343-352.
  24. Eder, Andreas, 2017. "Cost efficiency and economies of diversification of biogas-fuelled cogeneration plants in Austria: a nonparametric approach," MPRA Paper 80369, University Library of Munich, Germany.
  25. 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.
  26. Arnaud Abad & Paola Ravelojaona, 2021. "Pollution‐adjusted productivity analysis: The use of Malmquist and Luenberger productivity measures," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(3), pages 635-648, April.
  27. Podinovski, V. V., 2005. "Selective convexity in DEA models," European Journal of Operational Research, Elsevier, vol. 161(2), pages 552-563, March.
  28. Dale Squires & Kathleen Segerson, 2022. "Capacity and Capacity Utilization in Production Economics," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 24, pages 1001-1037, Springer.
  29. Colin Glass, J. & McCallion, Gillian & McKillop, Donal G. & Rasaratnam, Syamarlah & Stringer, Karl S., 2006. "Implications of variant efficiency measures for policy evaluations in UK higher education," Socio-Economic Planning Sciences, Elsevier, vol. 40(2), pages 119-142, June.
  30. 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.
  31. Emili GRIFELL‐TATJÉ & Kristiaan KERSTENS, 2008. "Incentive Regulation And The Role Of Convexity In Benchmarking Electricity Distribution: Economists Versus Engineers," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 79(2), pages 227-248, June.
  32. Mª Pilar García-Alcober & Emili Tortosa-Ausina & Diego Prior & Manuel Illueca, 2014. "Cost and revenue efficiency in Spanish banking: What distributions show," Working Papers 2014/12, Economics Department, Universitat Jaume I, Castellón (Spain).
  33. 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.
  34. Chen, Xiaoqing & Kerstens, Kristiaan & Tsionas, Mike, 2024. "Does productivity change at all in Swedish district courts? Empirical analysis focusing on horizontal mergers," Socio-Economic Planning Sciences, Elsevier, vol. 91(C).
  35. 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.
  36. Gijs Van de Wetering & Willem H. Woertman & Eddy M. M. Adang, 2012. "A model to correct for short‐run inefficiencies in economic evaluations in healthcare," Health Economics, John Wiley & Sons, Ltd., vol. 21(3), pages 270-281, March.
  37. Walter Briec & Kristiaan Kerstens & Ignace Van de Woestyne, 2016. "Congestion in production correspondences," Journal of Economics, Springer, vol. 119(1), pages 65-90, September.
  38. Capasso, Salvatore & Kaisari, Maria & Kounetas, Konstantinos & Lainas, Elias, 2024. "School productive performance and technology gaps: New evidence from PISA 2018," Economic Modelling, Elsevier, vol. 131(C).
  39. Kerstens, Kristiaan & Sadeghi, Jafar & Van de Woestyne, Ignace, 2019. "Convex and nonconvex input-oriented technical and economic capacity measures: An empirical comparison," European Journal of Operational Research, Elsevier, vol. 276(2), pages 699-709.
  40. Jean-Philippe Boussemart & Walter Briec & Raluca Parvulescu & Paola Ravelojaona, 2022. "$\Lambda$-Returns to Scale and Individual Minimum Extrapolation Principle," Papers 2212.04724, arXiv.org, revised Dec 2023.
  41. Monge, Juan F. & Ruiz, José L., 2023. "Setting closer targets based on non-dominated convex combinations of Pareto-efficient units: A bi-level linear programming approach in Data Envelopment Analysis," European Journal of Operational Research, Elsevier, vol. 311(3), pages 1084-1096.
  42. Fukuyama, Hirofumi & Shiraz, Rashed Khanjani, 2015. "Cost-effectiveness measures on convex and nonconvex technologies," European Journal of Operational Research, Elsevier, vol. 246(1), pages 307-319.
  43. Marques, Rui Cunha & De Witte, Kristof, 2011. "Is big better? On scale and scope economies in the Portuguese water sector," Economic Modelling, Elsevier, vol. 28(3), pages 1009-1016, May.
  44. Kerstens, Kristiaan & O’Donnell, Christopher & Van de Woestyne, Ignace, 2019. "Metatechnology frontier and convexity: A restatement," European Journal of Operational Research, Elsevier, vol. 275(2), pages 780-792.
  45. Podinovski, Victor V. & Kuosmanen, Timo, 2011. "Modelling weak disposability in data envelopment analysis under relaxed convexity assumptions," European Journal of Operational Research, Elsevier, vol. 211(3), pages 577-585, June.
  46. Cesaroni, Giovanni & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2017. "Global and local scale characteristics in convex and nonconvex nonparametric technologies: A first empirical exploration," European Journal of Operational Research, Elsevier, vol. 259(2), pages 576-586.
  47. Cesaroni, Giovanni & Giovannola, Daniele, 2015. "Average-cost efficiency and optimal scale sizes in non-parametric analysis," European Journal of Operational Research, Elsevier, vol. 242(1), pages 121-133.
  48. Sergio Destefanis & Vania Sena, 2005. "Public capital and total factor productivity: New evidence from the Italian regions, 1970-98," Regional Studies, Taylor & Francis Journals, vol. 39(5), pages 603-617.
  49. Tavakoli, Ibrahim M. & Mostafaee, Amin, 2019. "Free disposal hull efficiency scores of units with network structures," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1027-1036.
  50. Soleimani-damaneh, M. & Jahanshahloo, G.R. & Reshadi, M., 2006. "On the estimation of returns-to-scale in FDH models," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1055-1059, October.
  51. Soleimani-damaneh, Majid & Mostafaee, Amin, 2015. "Identification of the anchor points in FDH models," European Journal of Operational Research, Elsevier, vol. 246(3), pages 936-943.
  52. Barnabé Walheer, 2020. "Output, input, and undesirable output interconnections in data envelopment analysis: convexity and returns-to-scale," Annals of Operations Research, Springer, vol. 284(1), pages 447-467, January.
  53. Adang, Eddy M.M. & Wensing, Michel, 2008. "Economic barriers to implementation of innovations in health care: Is the long run-short run efficiency discrepancy a paradox?," Health Policy, Elsevier, vol. 88(2-3), pages 236-242, December.
  54. Arfa Chokri & Hervé Leleu & Ben Romdhane Habiba, 2008. "Directional distance function for FDH technologies with an application to Tunisian public hospitals," Working Papers 2008-ECO-03, IESEG School of Management.
  55. Michael L. Polemis & Thanasis Stengos & Nickolaos G. Tzeremes, 2020. "Modeling the effect of competition on US manufacturing sectors’ efficiency: an order-m frontier analysis," Journal of Productivity Analysis, Springer, vol. 54(1), pages 27-41, August.
  56. Giovanni Dosi & Marco Grazzi, 2006. "Technologies as problem-solving procedures and technologies as input--output relations: some perspectives on the theory of production," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 15(1), pages 173-202, February.
  57. Valero-Carreras, Daniel & Aparicio, Juan & Guerrero, Nadia M., 2021. "Support vector frontiers: A new approach for estimating production functions through support vector machines," Omega, Elsevier, vol. 104(C).
  58. Eder, Andreas, 2018. "Measuring and decomposing economies of diversification: An application to biogas-fuelled cogeneration plants in Austria," International Journal of Production Economics, Elsevier, vol. 204(C), pages 421-432.
  59. Xiaoqing Chen & Xinwang Liu, 2023. "Comparing Malmquist and Hicks–Moorsteen productivity changes in China’s high-tech industries: exploring convexity implications," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(4), pages 1209-1237, December.
  60. Frederic Ang & Simon M. Mortimer & Francisco J. Areal & Richard Tiffin, 2018. "On the Opportunity Cost of Crop Diversification," Journal of Agricultural Economics, Wiley Blackwell, vol. 69(3), pages 794-814, September.
  61. Tsionas, Mike G., 2023. "Clustering and meta-envelopment in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 304(2), pages 763-778.
  62. Chavas, Jean-Paul & Kim, Kwansoo, 2013. "Nonparametric Analysis of Technology and Productivity under Non-Convexity," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 149684, Agricultural and Applied Economics Association.
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