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Local Multiplicative Bias Correction for Asymmetric Kernel Density Estimators

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Author Info
Matthias HAGMANN () (HEC-University of Lausanne and FAME)
Olivier SCAILLET () (HEC-University of Geneva and FAME)

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Abstract

We consider semiparametric asymmetric kernel density estimators when the unknown density has support on [0, ¥). We provide a unifying framework which contains asymmetric kernel versions of several semiparametric density estimators considered previously in the literature. This framework allows us to use popular parametric models in a nonparametric fashion and yields estimators which are robust to misspecification. We further develop a specification test to determine if a density belongs to a particular parametric family. The proposed estimators outperform rival non- and semiparametric estimators in finite samples and are simple to implement. We provide applications to loss data from a large Swiss health insurer and Brazilian income data.

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Publisher Info
Paper provided by International Center for Financial Asset Management and Engineering in its series FAME Research Paper Series with number rp91.

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Date of creation: Sep 2003
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Handle: RePEc:fam:rpseri:rp91

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Related research
Keywords: semiparametric density estimation; asymmetric kernel; income distribution; loss distribution; health insurance; specification testing;

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

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This page was last updated on 2009-12-15.


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