A toolbox for measuring heterogeneity and efficiency using zonotopes-Reference-Cited by-同舟云学术

A toolbox for measuring heterogeneity and efficiency using zonotopes

Published:2022-03 Issue:1 Volume:22 Page:25-59
ISSN:1536-867X
Container-title:The Stata Journal: Promoting communications on statistics and Stata
language:en
Short-container-title:The Stata Journal

Author:

Cococcioni Marco¹,Grazzi Marco²,Li Le³,Ponchio Federico⁴

Affiliation:

1. Department of Information Engineering, University of Pisa, Pisa, Italy

2. Department of Economic Policy, Università Cattolica del Sacro Cuore, Milano, Italy

3. School of Economics, Guangzhou College of Commerce, Guangzhou, China

4. Visual Computing Lab, ISTI CNR, Pisa, Italy

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 heterogeneity 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.

Publisher

SAGE Publications

Subject

Mathematics (miscellaneous)

Link

http://journals.sagepub.com/doi/pdf/10.1177/1536867X221083854

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