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

Kuan Xu ()

Econometric Reviews, 2007, vol. 26, issue 5, pages 567-577

Abstract: U-statistics form a general class of statistics that 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, the average poverty gap ratios, the Foster-Greer-Thorbecke index, and 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: Asymptotic theory; Inequality; Measures; Poverty; U-statistics (search for similar items in EconPapers)
Date: 2007

Downloads: (external link)
http://www.informaworld.com/openurl?genre=article& ... 40C6AD35DC6213A474B5 (text/html)
Access to full text is restricted to subscribers.

Related works:
Working Paper: U-Statistics and Their Asymptotic Results for Some Inequality and Poverty Measures (2007)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: http://EconPapers.repec.org/RePEc:taf:emetrv:v:26:y:2007:i:5:p:567-577

Ordering information: This journal article can be ordered from
http://www.tandf.co.uk/journals/subscription.html

Access Statistics for this article

Econometric Reviews is edited by Esfandiar Maasoumi

More articles in Econometric Reviews from Taylor and Francis Journals
Series data maintained by Christopher F. Baum ().