Rate of strong uniform convergence of k-NN density estimates
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Publication:792039
DOI10.1016/0378-3758(83)90037-XzbMath0536.62032MaRDI QIDQ792039
Publication date: 1983
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
oscillationBahadur representationGaussian processempirical processesmodulus of continuitystrong embeddingdensity estimatesnearest neighbor density estimatorrate of strong uniform convergence
Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15) Strong limit theorems (60F15) Large deviations (60F10)
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Cites Work
- The oscillation behavior of empirical processes
- A law of the logarithm for kernel density estimators
- Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
- Multivariate k-nearest neighbor density estimates
- On some global measures of the deviations of density function estimates
- Remarks on Some Nonparametric Estimates of a Density Function
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- Nonparametric estimates of probability densities
- Variable Kernel Estimates of Multivariate Densities
- A Nonparametric Estimate of a Multivariate Density Function
- A Note on Quantiles in Large Samples
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