Influence functions for distributional statistics

B. Essama-Nssah and Peter J. Lambert ()
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B. Essama-Nssah: World Bank Group
Peter J. Lambert: University of Oregon

No 236, Working Papers from ECINEQ, Society for the Study of Economic Inequality

Abstract: Social evaluation functions used in policy impact analysis can be viewed as real-valued functionals of the underlying outcome distributions. Influence functions may be used to identify the sources of variation in social outcomes in terms of individual or household characteristics. This paper sets forth in clear terms the definition of the influence function and recentered influence function, and catalogs these functions for a wide range of distributional statistics, including measures of central tendency, inequality and poverty and also measures of the degree of pro-poorness of a shock- or policy-induced change in income levels.

Keywords: Influence function; robust statistic; distributional statistic; inequality; poverty; social evaluation. (search for similar items in EconPapers)
JEL-codes: C18 C54 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2011
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Citations: View citations in EconPapers (17)

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