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- W2911391692 abstract "Kernel density estimation is a well known method involving a smoothing parameter (the bandwidth) that needs to be tuned by the user. Although this method has been widely used, the bandwidth selection remains a challenging issue in terms of balancing algorithmic performance and statistical relevance. The purpose of this paper is to study a recently developed bandwidth selection method, called Penalized Comparison to Overfitting (PCO). We first provide new theoretical guarantees by proving that PCO performed with non-diagonal bandwidth matrices is optimal in the oracle and minimax approaches. PCO is then compared to other usual bandwidth selection methods (at least those which are implemented in the R-package) for univariate and also multivariate kernel density estimation on the basis of intensive simulation studies. In particular, cross-validation and plug-in criteria are numerically investigated and compared to PCO. The take home message is that PCO can outperform the classical methods without algorithmic additional cost." @default.
- W2911391692 created "2019-02-21" @default.
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- W2911391692 date "2023-01-01" @default.
- W2911391692 modified "2023-09-26" @default.
- W2911391692 title "Numerical performance of penalized comparison to overfitting for multivariate kernel density estimation" @default.
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- W2911391692 doi "https://doi.org/10.1051/ps/2022018" @default.
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