Uniform-in-bandwidth nearest-neighbor density estimation
From MaRDI portal
Publication:383842
DOI10.1016/j.spl.2013.04.014zbMath1281.62096OpenAlexW2041465814MaRDI QIDQ383842
Publication date: 6 December 2013
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2013.04.014
nonparametric density estimationconvergence in probabilityfunctional limit lawsuniform empirical quantile processes
Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Functional limit theorems; invariance principles (60F17)
Related Items
\(k\)NN estimation in functional partial linear modeling, Uniform in bandwidth consistency for various kernel estimators involving functional data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rate of strong uniform convergence of k-NN density estimates
- Lectures on empirical processes. Theory and statistical applications.
- Functional laws of the iterated logarithm for the increments of empirical and quantile processes
- The strong uniform consistency of nearest neighbor density estimates
- General asymptotic confidence bands based on kernel-type function estimators
- The law of the iterated logarithm for the multivariate nearest neighbor density estimators
- Functional limit laws for the increments of the quantile process; with applications
- Uniform in bandwidth consistency of kernel-type function estimators
- Strong laws for the maximal k-spacing when k?c log n
- k-Nearest Neighbour method in functional nonparametric regression
- Necessary and sufficient conditions for the pointwise convergence of nearest neighbor regression function estimates
- Kiefer's theorem via the Hungarian construction
- An invariance principle for the law of the iterated logarithm
- A Nonparametric Estimate of a Multivariate Density Function
- Uniform Consistency of Some Estimates of a Density Function