1. What have the authors contributed in "Nonparametric localized bandwidth selection for kernel density estimation" ?
In recent years, Bayesian based methods for global bandwidth selection have been studied.. This paper presents a nonparametric localized bandwidth estimator, for which the authors establish a completely new asymptotic theory.. Nonetheless, a difficult issue is how the authors can consistently estimate a localized bandwidth.
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2. What are the future works mentioned in the paper "Nonparametric localized bandwidth selection for kernel density estimation" ?
Therefore, a more reliable data–driven approach to hyperparameter estimation will be part of their future research.
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