On Calculation of the Extended Gini Coefficient
AbstractThe conventional formula for estimating the extended Gini coefficient is a covariance formula provided by Lerman and Yitzhaki (1989). We suggest an alternative estimator, obtained by approximating the Lorenz curve by a series of linear segments. In a Monte Carlo experiment designed to assess the relative bias and efficiency of the two estimators, we find that, when using grouped data with 20 or fewer groups, our new estimator has less bias and lower mean squared error than the covariance estimator. When individual observations are used, or the number of groups is 30 or more, there is little or no difference in the performance of the two estimators. Copyright 2001 by The International Association for Research in Income and Wealth.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by International Association for Research in Income and Wealth in its journal Review of Income & Wealth.
Volume (Year): 47 (2001)
Issue (Month): 4 (December)
Contact details of provider:
Web page: http://www.blackwellpublishing.com/journal.asp?ref=0034-6586
More information through EDIRC
Other versions of this item:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
- D30 - Microeconomics - - Distribution - - - General
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-70, September.
- Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-28, October.
- Lerman, Robert I. & Yitzhaki, Shlomo, 1989. "Improving the accuracy of estimates of Gini coefficients," Journal of Econometrics, Elsevier, vol. 42(1), pages 43-47, September.
- Chameni Nembua, Célestin, 2008. "Measuring and explaining economic inequality: An extension of the Gini coefficient," MPRA Paper 31242, University Library of Munich, Germany, revised 2010.
- Araceli Ortega Diaz, 2004. "Assesment of the relationship between Inequality and Economic Growth: A panel Data Approach," Econometric Society 2004 Latin American Meetings 261, Econometric Society.
- Jeroen Hinloopen & Charles van Marrewijk, 2004. "Dynamics of Chinese Comparative Advantage," Tinbergen Institute Discussion Papers 04-034/2, Tinbergen Institute.
- repec:dgr:uvatin:2004034 is not listed on IDEAS
- Shlomo Yitzhaki & Edna Schechtman, 2005. "The properties of the extended Gini measures of variability and inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 401-433.
- Essama-Nssah, B., 2002. "Assessing the distributional impact of public policy," Policy Research Working Paper Series 2883, The World Bank.
- Theodoros M. Diasakos & Florence Neymotin, 2011. "Community Matters: How the Volunteering of Others Affects One's Likelihood of Engaging in Volunteer Work," Carlo Alberto Notebooks 209, Collegio Carlo Alberto.
- Célestin Chameni Nembua, 2006. "Linking Gini to Entropy : Measuring Inequality by an interpersonal class of indices," Economics Bulletin, AccessEcon, vol. 4(5), pages 1-9.
- repec:dgr:uvatin:2005122 is not listed on IDEAS
- Rolf Aaberge, 2007.
"Gini’s nuclear family,"
Journal of Economic Inequality,
Springer, vol. 5(3), pages 305-322, December.
- Walter Piesch, 2005. "A look at the structure of some extended Ginis," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 263-296.
- Heshmati, Almas, 2004. "Inequalities and Their Measurement," IZA Discussion Papers 1219, Institute for the Study of Labor (IZA).
- repec:ebl:ecbull:v:4:y:2006:i:5:p:1-9 is not listed on IDEAS
- Theodoros M. Diasakos & Florence Neymotin, 2014. "Coordination in Public Good Provision: How Individual Volunteering is Impacted by the Volunteering of Others," Discussion Paper Series, Department of Economics 201402, Department of Economics, University of St. Andrews.
- Jeroen Hinloopen & Charles van Marrewijk, 2005. "Comparing Distributions: The Harmonic Mass Index," Tinbergen Institute Discussion Papers 05-122/1, Tinbergen Institute, revised 30 Dec 2005.
- Heshmati, Almas, 2004. "A Review of Decomposition of Income Inequality," IZA Discussion Papers 1221, Institute for the Study of Labor (IZA).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing) or (Christopher F. Baum).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.