On the asymptotic behaviour of the integrated square error of kernel density estimators with data-dependent bandwidth
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Publication:5952095
DOI10.1016/S0167-7152(01)00072-4zbMath0982.62032OpenAlexW2076194975WikidataQ127740053 ScholiaQ127740053MaRDI QIDQ5952095
Publication date: 7 April 2002
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-7152(01)00072-4
Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)
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Cites Work
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- Central limit theorem for integrated square error of multivariate nonparametric density estimators
- Extent to which least-squares cross-validation minimises integrated square error in nonparametric density estimation
- Lower bounds for bandwidth selection in density estimation
- Smoothed cross-validation
- A simple root \(n\) bandwidth selector
- Asymptotic normality of a weighted integrated squared error of kernel regression estimates with data-dependent bandwidth
- Bandwidth selection: Classical or plug-in?
- On some global measures of the deviations of density function estimates
- A Brief Survey of Bandwidth Selection for Density Estimation
- Remarks on Some Nonparametric Estimates of a Density Function
- On optimal data-based bandwidth selection in kernel density estimation
- Biased and Unbiased Cross-Validation in Density Estimation
- On Estimation of a Probability Density Function and Mode
