most citedAsymptotic normality of plug-in level set estimates

93 citations

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2 papers

math.ST2009★ 35 cited

Estimation of functional derivatives

Peter Hall, Hans-Georg Müller, Fang Yao

Situations of a functional predictor paired with a scalar response are increasingly encountered in data analysis. Predictors are often appropriately modeled as square integrable sm…

math.PR2009★ 93 cited

Asymptotic normality of plug-in level set estimates

David M. Mason, Wolfgang Polonik

We establish the asymptotic normality of the -measure of the symmetric difference between the level set and a plug-in-type estimator of it formed by replacing the density in the…