Multiplicative Bias Corrected Nonparametric Smoothers

Details Multiplicative Bias Corrected Nonparametric Smoothers Multiplicative Bias Corrected Nonparametric Smoothers

2009-08-02

arxiv.org/abs/0908.0128v3

Mathematics

Statistics Theory

29 pages

Scientific paper

The paper presents a multiplicative bias reduction estimator for nonparametric regression. The approach consists to apply a multiplicative bias correction to an oversmooth pilot estimator. In Burr et al. [2010], this method has been tested to estimate energy spectra. For such data set, it was observed that the method allows to decrease bias with negligible increase in variance. In this paper, we study the asymptotic properties of the resulting estimate and prove that this estimate has zero asymptotic bias and the same asymptotic variance as the local linear estimate. Simulations show that our asymptotic results are available for modest sample sizes.

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