Location-adaptive density estimation and nearest-neighbor distance
DOI10.1016/0047-259X(92)90095-WzbMath0742.62038OpenAlexW2079669194MaRDI QIDQ1190565
Publication date: 26 September 1992
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0047-259x(92)90095-w
cross-validationintegrated square errorquadratic lossuniform consistencyVapnik-Červonenkis classrates of uniform convergenceadhoc truncationempirical process techniquesfixed-bandwidth kernel density estimatenearest-neighbor density estimaterandom location-adaptive bandwidthsmoothing of nearest-neighbor distance
Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Monte Carlo methods (65C05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- U-processes: Rates of convergence
- Adaptive density flattening. - A metric distortion principle for combating bias in nearest neighbor methods
- An asymptotically efficient solution to the bandwidth problem of kernel density estimation
- An asymptotically optimal window selection rule for kernel density estimates
- Variable bandwidth kernel estimators of regression curves
- Variable window width kernel estimates of probability densities
- Weak convergence of \(k\)-NN density and regression estimators with varying \(k\) and applications
- Uniform consistency of automatic and location-adaptive delta-sequence estimators
- Adaptive nonparametric estimation of a multivariate regression function
- The strong uniform consistency of nearest neighbor density estimates
- Multivariate k-nearest neighbor density estimates
- Asymptotics via empirical processes. With comments and a rejoinder by the author
- On bandwidth variation in kernel estimates. A square root law
- A data dependent approach to density estimation
- Variable Kernel Estimates of Multivariate Densities
- The strong uniform convergence of multivariate variable kernel estimates
- A Nonparametric Estimate of a Multivariate Density Function
- Convergence of stochastic processes
This page was built for publication: Location-adaptive density estimation and nearest-neighbor distance