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Evaluating Returns to Scale and Convexity in DEA Via Bootstrap: A Case Study with Brazilian Port Terminals

In: Handbook of Operations Analytics Using Data Envelopment Analysis

Author

Listed:
  • Peter F. Wanke

    (CELIG (Center for Studies in Logistics, Infrastrucutre and Management), Instituto COPPEAD de Administração, Universidade Federal do Rio de Janeiro)

  • Carlos Pestana Barros

    (UECE (Research Unit on Complexity and Economics), Instituto Superior de Economia e Gestão, Technical University of Lisbon)

Abstract

This paper presents a simple methodology, built upon the bootstrapping technique originally developed by Simar and Wilson (Handbook on Data Envelopment Analysis, Kluwer International Series, Boston, 2004), in order to evaluate, unambiguously, returns to scale and convexity assumptions in DEA. The basic idea is to use confidence intervals and bias corrected central estimates to test for significant differences on distance functions and returns-to-scale indicators provided by different DEA models. This methodology is illustrated by means of a case study in the Brazilian port sector, where anecdotal evidence regarding an eventual capacity shortfall is corroborated.

Suggested Citation

  • Peter F. Wanke & Carlos Pestana Barros, 2016. "Evaluating Returns to Scale and Convexity in DEA Via Bootstrap: A Case Study with Brazilian Port Terminals," International Series in Operations Research & Management Science, in: Shiuh-Nan Hwang & Hsuan-Shih Lee & Joe Zhu (ed.), Handbook of Operations Analytics Using Data Envelopment Analysis, chapter 0, pages 187-214, Springer.
  • Handle: RePEc:spr:isochp:978-1-4899-7705-2_8
    DOI: 10.1007/978-1-4899-7705-2_8
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    Citations

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    Cited by:

    1. Alves, André Bernardo & Wanke, Peter & Antunes, Jorge & Chen, Zhongfei, 2020. "Endogenous network efficiency, macroeconomy, and competition: Evidence from the Portuguese banking industry," The North American Journal of Economics and Finance, Elsevier, vol. 52(C).
    2. Yong Tan & Peter Wanke & Jorge Antunes & Ali Emrouznejad, 2021. "Unveiling endogeneity between competition and efficiency in Chinese banks: a two-stage network DEA and regression analysis," Annals of Operations Research, Springer, vol. 306(1), pages 131-171, November.

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