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A toolbox for measuring heterogeneity and efficiency using zonotopes

Author

Listed:
  • Marco Cococcioni

    (University of Pisa)

  • Marco Grazzi

    (Università Cattolica del Sacro Cuore)

  • Le Li

    (Guangzhou College of Commerce)

  • Federico Ponchio

    (ISTI CNR)

Abstract

In this work, we describe the new command zonotope, which, by resorting to a geometry-based approach, provides a measure of productivity that fully accounts for the existing heterogeneity across firms within the same industry. The method we propose also enables assessment of the extent of multidimensional het- erogeneity with applications to fields beyond that of production analysis. Finally, we detail the functioning of the software to perform the related empirical analysis, and we discuss the main computational issues encountered in its development.

Suggested Citation

  • Marco Cococcioni & Marco Grazzi & Le Li & Federico Ponchio, 2022. "A toolbox for measuring heterogeneity and efficiency using zonotopes," Stata Journal, StataCorp LP, vol. 22(1), pages 25-59, March.
    • Handle: RePEc:tsj:stataj:y:22:y:2022:i:1:p:25-59
    DOI: 10.1177/1536867X221083854
    Note: to access software from within Stata, net describe http://www.stata-journal.com/software/sj22-1/st0662/
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    Cited by:

    1. S. Settepanella & A. Terni & M. Franciosi & L. Li, 2022. "The robustness of the generalized Gini index," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(2), pages 521-539, December.

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