Nonparametric Estimation of a Polarization Measure

Gordon Anderson, Oliver Linton and Yoon-Jae Whang ()
Additional contact information
Gordon Anderson: University of Toronto
Oliver Linton: London School of Economics

No 1714, Cowles Foundation Discussion Papers from Cowles Foundation, Yale University

Abstract: This paper develops methodology for nonparametric estimation of a polarization measure due to Anderson (2004) and Anderson, Ge, and Leo (2006) based on kernel estimation techniques. We give the asymptotic distribution theory of our estimator, which in some cases is nonstandard due to a boundary value problem. We also propose a method for conducting inference based on estimation of unknown quantities in the limiting distribution and show that our method yields consistent inference in all cases we consider. We investigate the finite sample properties of our methods by simulation methods. We give an application to the study of polarization within China in recent years.

Keywords: Kernel estimation, Inequality, Overlap coefficient; Poissonization (search for similar items in EconPapers)
JEL-codes: C12 C13 C14 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm and nep-tra
Date: 2009-07
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Related works:
Working Paper: Nonparametric estimation of a polarization measure (2009)
Working Paper: Nonparametric estimation of a polarization measure (2009)
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Persistent link: http://EconPapers.repec.org/RePEc:cwl:cwldpp:1714

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