IDEAS home Printed from https://ideas.repec.org/p/ags/huaewp/232621.html
   My bibliography  Save this paper

A Measure of Association Based on Gini's Mean Difference

Author

Listed:
  • Schechtman, Edna
  • Yitzhaki, Shlomo

Abstract

A measure of association between two random variables is proposed, which represents a compromise between the classical correlation coefficient and the rank correlation coefficient. The new measure is based on the covariance between two variables where one variable is taken in its variate values while the other is ranked. The large sample distribution of this measure is studied and some possible applications are mentioned.

Suggested Citation

  • Schechtman, Edna & Yitzhaki, Shlomo, 1985. "A Measure of Association Based on Gini's Mean Difference," Working Papers 232621, Hebrew University of Jerusalem, Center for Agricultural Economic Research.
  • Handle: RePEc:ags:huaewp:232621
    DOI: 10.22004/ag.econ.232621
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/232621/files/hebrewuniv-workingpapers-8501.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.22004/ag.econ.232621?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Shalit, Haim & Yitzhaki, Shlomo, 1984. "Mean-Gini, Portfolio Theory, and the Pricing of Risky Assets," Journal of Finance, American Finance Association, vol. 39(5), pages 1449-1468, December.
    2. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    3. P. J. Green, 1978. "Probability and Statistical Inference," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 27(1), pages 85-86, March.
    4. Lerman, Robert I & Yitzhaki, Shlomo, 1985. "Income Inequality Effects by Income," The Review of Economics and Statistics, MIT Press, vol. 67(1), pages 151-156, February.
    5. Lerman, Robert I. & Yitzhaki, Shlomo, 1984. "A note on the calculation and interpretation of the Gini index," Economics Letters, Elsevier, vol. 15(3-4), pages 363-368.
    6. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sadefo Kamdem, Jules, 2012. "A nice estimation of Gini index and power Pen's parade," Economic Modelling, Elsevier, vol. 29(4), pages 1299-1304.
    2. D'Errico, Marco & Macchiarelli, Corrado & Serafini, Roberta, 2015. "Differently unequal: Zooming-in on the distributional dimensions of the crisis in euro area countries," Economic Modelling, Elsevier, vol. 48(C), pages 93-115.
    3. Stéphane Mussard, 2006. "La décomposition des mesures d’inégalité en sources de revenu : l’indice de Gini et les généralisations," Cahiers de recherche 06-05, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    4. Peter Martey Addo & Dominique Guegan & Bertrand Hassani, 2018. "Credit Risk Analysis Using Machine and Deep Learning Models," Risks, MDPI, vol. 6(2), pages 1-20, April.
    5. Doron Nisani & Amit Shelef, 2021. "A statistical analysis of investor preferences for portfolio selection," Empirical Economics, Springer, vol. 61(4), pages 1883-1915, October.
    6. Peter Martey Addo & Dominique Guegan & Bertrand Hassani, 2018. "Credit Risk Analysis using Machine and Deep Learning models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01719983, HAL.
    7. Richard Mawulawoe Ahadzie & Nagaratnam Jeyasreedharan, 2024. "Higher‐order moments and asset pricing in the Australian stock market," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 64(1), pages 75-128, March.
    8. Francesco Porro & Michele Zenga, 2020. "Decomposition by subpopulations of the Zenga-84 inequality curve and the related index $$\zeta $$ζ: an application to 2014 Bank of Italy survey," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(1), pages 187-207, March.
    9. Michele Zenga, 2016. "On the decomposition by subpopulations of the point and synthetic Zenga (2007) inequality indexes," METRON, Springer;Sapienza Università di Roma, vol. 74(3), pages 375-405, December.
    10. Peter Martey Addo & Dominique Guegan & Bertrand Hassani, 2018. "Credit Risk Analysis using Machine and Deep Learning models," Post-Print halshs-01719983, HAL.
    11. Yves Tillé, 2016. "The legacy of Corrado Gini in survey sampling and inequality theory," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 167-176, August.
    12. Fontanari, Andrea & Cirillo, Pasquale & Oosterlee, Cornelis W., 2018. "From Concentration Profiles to Concentration Maps. New tools for the study of loss distributions," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 13-29.
    13. Heuchenne, Cédric & Jacquemain, Alexandre, 2022. "Inference for monotone single-index conditional means: A Lorenz regression approach," Computational Statistics & Data Analysis, Elsevier, vol. 167(C).
    14. Fernández-Morales, Antonio & Cisneros-Martínez, José David & McCabe, Scott, 2016. "Seasonal concentration of tourism demand: Decomposition analysis and marketing implications," Tourism Management, Elsevier, vol. 56(C), pages 172-190.
    15. Doron Nisani, 2019. "Ranking Investments Using the Lorenz Curve," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 17(1), pages 1-9, March.
    16. Maria-Teresa Bosch-Badia & Joan Montllor-Serrats & Maria-Antonia Tarrazon-Rodon, 2017. "Analysing the information embedded in the optimal mean–variance weights: CAPM versus Bamberg and Dorfleitner model," Review of Managerial Science, Springer, vol. 11(4), pages 789-814, October.
    17. Steven Toms, 2014. "Accounting-based Risk Management and the Capital Asset Pricing Model: An Empirical Comparison," Australian Accounting Review, CPA Australia, vol. 24(2), pages 127-133, June.
    18. Boisvert, Richard N. & Ranney, Christine K., 1990. "Accounting For The Importance Of Nonfarm Income On Farm Family Income Inequality In New York," Northeastern Journal of Agricultural and Resource Economics, Northeastern Agricultural and Resource Economics Association, vol. 19(1), pages 1-11, April.
    19. Grunewald, Nicole & Jakob, Michael & Mouratiadou, Ioanna, 2014. "Decomposing inequality in CO2 emissions: The role of primary energy carriers and economic sectors," Ecological Economics, Elsevier, vol. 100(C), pages 183-194.
    20. Wetzstein, Michael E. & Szmedra, Philip I. & McClendon, Ronald W. & Edwards, David M., 1988. "Efficiency Criteria And Risk Aversion: An Empirical Evaluation," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 20(1), pages 1-8, July.

    More about this item

    Keywords

    Research Methods/ Statistical Methods;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ags:huaewp:232621. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/caehuil.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.