Alternative Method of Measuring Concentration

Authors

Zygmunt Jacek Zawistowski, Warsaw University of Life Sciences - SGGW, Faculty of Applied Informatics and Mathematics, Nowoursynowska Street 159, 02-776 Warsaw, PolandFollow
Wiesław Szczesny, Warsaw University of Life Sciences - SGGW, Faculty of Applied Informatics and Mathematics, Nowoursynowska Street 159, 02-776 Warsaw, PolandFollow
Bolesław Borkowski, Warsaw University of Life Sciences - SGGW, Faculty of Applied Informatics and Mathematics, Nowoursynowska Street 159, 02-776 Warsaw, PolandFollow
Ryszard Kozera, Warsaw University of Life Sciences - SGGW, Faculty of Applied Informatics and Mathematics, Nowoursynowska Street 159, 02-776 Warsaw, PolandFollow
Yochanan Shachmurove, The City College of the City University of New York, Department of Economics and Business, 160 Convent Avenue at 138th Street, New York 10031, USAFollow

Author Country (or Countries)

Poland

Abstract

The most popular measure of concentration, Gini coefficient G, does not show uniformly all the changes taking place in a flow of goods between objects. This work presents alternative index of concentration IC that when used together with Gini index mitigate that inconvenience. Studies have shown that coefficient IC differs considerably from Gini index in sensitivity to flow of ”good”. The coefficient IC is more sensitive because it depends on value of change quadratically while Gini index only linearly. IC depends on coordinates more properly than G as it depends on difference in values of coordinates opposite to G which depends on difference in positions of coordinate.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100102

Recommended Citation

Jacek Zawistowski, Zygmunt; Szczesny, Wiesław; Borkowski, Bolesław; Kozera, Ryszard; and Shachmurove, Yochanan (2016) "Alternative Method of Measuring Concentration," Applied Mathematics & Information Sciences: Vol. 10: Iss. 1, Article 2.
DOI: http://dx.doi.org/10.18576/amis/100102
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/2