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Amazing aspects of inequality indices (Gini and Kolkata Index) of COVID-19 confirmed cases in India

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  • Ruz, Soumendra Nath

Abstract

Social inequalities are everywhere. The Gini Index (g) and the newly introduced Kolkata Index (k) are two simple indices for measuring inequality hidden in any kind of social issue. In this work, temporal variation of k and g for confirmed COVID-19 cases within 28 states and 8 union territories of India has been studied. The time-span of the study of this temporal variation is nearly two years and three months. A careful observation of this temporal variation of k and g reveals many interesting aspects. It hints at the limiting nature of the inequality indices hidden in social issues. This temporal variation also fluctuates between an upper and lower limit. Again, both inequality indices bear a negative correlation with the number of new COVID-19 cases detected in each 5 day interval. These features of temporal variation of inequality indices also help us to predict the future trend of COVID-19 cases.

Suggested Citation

  • Ruz, Soumendra Nath, 2023. "Amazing aspects of inequality indices (Gini and Kolkata Index) of COVID-19 confirmed cases in India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P2).
  • Handle: RePEc:eee:phsmap:v:632:y:2023:i:p2:s0378437123009019
    DOI: 10.1016/j.physa.2023.129346
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    1. Manna, S.S. & Biswas, Soumyajyoti & Chakrabarti, Bikas K., 2022. "Near universal values of social inequality indices in self-organized critical models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    2. Eliazar, Iddo, 2015. "The sociogeometry of inequality: Part II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 116-137.
    3. Asim Ghosh & Arnab Chatterjee & Jun-ichi Inoue & Bikas K. Chakrabarti, 2015. "Inequality measures in kinetic exchange models of wealth distributions," Papers 1509.02711, arXiv.org, revised Feb 2016.
    4. Eliazar, Iddo, 2015. "The sociogeometry of inequality: Part I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 93-115.
    5. Chatterjee, Arnab & Ghosh, Asim & Chakrabarti, Bikas K., 2017. "Socio-economic inequality: Relationship between Gini and Kolkata indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 583-595.
    6. Sourav Chowdhury & Suparna Roychowdhury & Indranath Chaudhuri, 2022. "A robust prediction from a minimal model of COVID-19 — Can we avoid the third wave?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(07), pages 1-16, July.
    7. Suchismita Banerjee & Soumyajyoti Biswas & Bikas K. Chakrabarti & Sai Krishna Challagundla & Asim Ghosh & Suhaas Reddy Guntaka & Hanesh Koganti & Anvesh Reddy Kondapalli & Raju Maiti & Manipushpak Mit, 2023. "Evolutionary dynamics of social inequality and coincidence of Gini and Kolkata indices under unrestricted competition," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-29, April.
    8. Sinha, Antika & Chakrabarti, Bikas K., 2019. "Inequality in death from social conflicts: A Gini & Kolkata indices-based study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    9. Păcurar, Cristina-Maria & Necula, Bogdan-Radu, 2020. "An analysis of COVID-19 spread based on fractal interpolation and fractal dimension," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    10. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
    11. Joseph, Bijin & Chakrabarti, Bikas K., 2022. "Variation of Gini and Kolkata indices with saving propensity in the Kinetic Exchange model of wealth distribution: An analytical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    12. Asim Ghosh & Bikas K Chakrabarti, 2021. "Limiting Value of the Kolkata Index for Social Inequality and a Possible Social Constant," Papers 2102.01527, arXiv.org, revised Apr 2021.
    13. Eliazar, Iddo I. & Sokolov, Igor M., 2010. "Measuring statistical heterogeneity: The Pietra index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 117-125.
    14. Aydiner, Ekrem & Cherstvy, Andrey G. & Metzler, Ralf, 2018. "Wealth distribution, Pareto law, and stretched exponential decay of money: Computer simulations analysis of agent-based models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 278-288.
    15. Suchismita Banerjee & Bikas K. Chakrabarti & Manipushpak Mitra & Suresh Mutuswami, 2020. "Inequality Measures: The Kolkata index in comparison with other measures," Papers 2005.08762, arXiv.org, revised Oct 2020.
    16. Banerjee, Suchismita & Chakrabarti, Bikas K. & Mitra, Manipushpak & Mutuswami, Suresh, 2020. "On the Kolkata index as a measure of income inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    17. Tam'as S. Bir'o & Zolt'an N'eda, 2020. "Gintropy: Gini index based generalization of Entropy," Papers 2007.04829, arXiv.org.
    18. Ghosh, Asim & Chakrabarti, Bikas K., 2021. "Limiting value of the Kolkata index for social inequality and a possible social constant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    19. repec:cup:cbooks:9781107013445 is not listed on IDEAS
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