U-Statistics and Their Asymptotic Results for Some Inequality and Poverty Measures

Kuan Xu

Working Papers from Dalhousie University, Department of Economics

Abstract: U-statistics form a general class of statistics which have certain important features in common. This class arises as a generalization of the sample mean and the sample variance and typically members of the class are asymptotically normal with good consistency properties. The class encompasses some widely-used income inequality and poverty measures, in particular the variance, the Gini index, the poverty rate, average poverty gap ratios, the Foster-Greer-Thorbecke index, the Sen index and its modified form. This paper illustrates how these measures come together within the class of U-statistics, and thereby why U- statistics are useful in econometrics.

Keywords: U-statistics; inequality; poverty; measures (search for similar items in EconPapers)
Pages: 37 pages
Date: 2006-06-01
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Citations: View citations in EconPapers (4)

Published in Econometric Reviews, September 2007, pages 567-577

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http://wp.economics.dal.ca/RePEc/dal/wpaper/DalEconWP2007-06.pdf (application/pdf)

Related works:
Journal Article: U-Statistics and Their Asymptotic Results for Some Inequality and Poverty Measures (2007)
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