Kernel Estimation of Densities with Discontinuities or Discontinuous Derivatives
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Publication:3354914
DOI10.1080/02331889108802286zbMath0729.62031OpenAlexW2016232033WikidataQ126243120 ScholiaQ126243120MaRDI QIDQ3354914
Daren B. H. Cline, Jeffrey D. Hart
Publication date: 1991
Published in: Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331889108802286
cross-validationconvergence ratekernel density estimatorexpansionsmean integrated squared erroroptimal bandwidthdiscontinuous derivativessmooth derivativessymmetrization estimator
Density estimation (62G07) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)
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Cites Work
- Measuring the efficiency of trigonometric series estimates of a density
- Mean integrated squared error of kernel estimators when the density and its derivative are not necessarily continuous
- An asymptotically optimal window selection rule for kernel density estimates
- Random approximations to some measures of accuracy in nonparametric curve estimation
- Estimating a density on the positive half line by the method of orthogonal series
- Asymptotically optimum kernels for density estimation at a point
- Optimal kernel estimation of densities
- [https://portal.mardi4nfdi.de/wiki/Publication:3048064 Estimation des densit�s: risque minimax]
- Incorporating support constraints into nonparametric estimators of densities
- On the Integral Mean Square Error of Some Nonparametric Estimates for the Density Function
- On the Lack of a Uniformly Consistent Sequence of Estimators of a Density Function in Certain Cases
- Curve Estimates
- On the Best Obtainable Asymptotic Rates of Convergence in Estimation of a Density Function at a Point