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Econometrics Paper
Nonparametric Estimation of a Polarization Measure
Gordon Anderson, Oliver Linton and Yoon-Jae Whang
June 2009
Paper No' EM/2009/534:
Full Paper (pdf)

JEL Classification: C12; C13; C14

Tags: kernel estimation; inequality; overlap coefficient; poissonization

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.