Root \(n\) estimates of vectors of integrated density partial derivative functionals
From MaRDI portal
Publication:741153
DOI10.1007/s10463-013-0428-7zbMath1309.62073OpenAlexW2006985757MaRDI QIDQ741153
Hui-Chun Yu, Tiee-Jian Wu, Huang-Yu Chen, Chih-Yuan Hsu
Publication date: 10 September 2014
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10463-013-0428-7
characteristic functioncross-validationconvergence ratebandwidth selectionmultivariate kernel estimatenonparametric information bound
Density estimation (62G07) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20)
Related Items
Some results about kernel estimators for function derivatives based on stationary and ergodic continuous time processes with applications ⋮ Analytical expression for the integrated squared density partial derivative of a multivariate normal mixture distribution ⋮ Asymptotics for function derivatives estimators based on stationary and ergodic discrete time processes
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multivariate plug-in bandwidth selection with unconstrained pilot bandwidth matrices
- Minimax quadratic estimation of a quadratic functional
- Using non-stochastic terms to advantage in kernel-based estimation of integrated squared density derivatives
- On the estimation of quadratic functionals
- An asymptotically optimal window selection rule for kernel density estimates
- Estimation of integrated squared density derivatives
- Choice of kernel order in density estimation
- Asymptotic performance bounds for the kernel estimate
- Lower bounds for bandwidth selection in density estimation
- Bandwidth selection for kernel density estimation
- Optimal plug-in estimators for nonparametric functional estimation
- A note on the usefulness of superkernels in density estimation
- Best possibility constant for bandwidth selection
- Mean square error properties of density estimates
- Mean integrated square error properties of density estimates
- Estimation of integral functionals of a density and its derivatives
- Convergence rates for unconstrained bandwidth matrix selectors in multivariate kernel density estimation
- On Bickel and Ritov's conjecture about adaptive estimation of the integral of the square of density derivative
- On optimal adaptive estimation of a quadratic functional
- Root n bandwidths selectors in multivariate kernel density estimation
- Adaptive root \(n\) estimates of integrated squared density derivatives
- Exact and asymptotically optimal bandwidths for kernel estimation of density functionals
- Data-driven density derivative estimation, with applications to nonparametric clustering and bump hunting
- Estimation of quadratic functionals of a density
- Multivariate plug-in bandwidth selection
- UNCONSTRAINED PILOT SELECTORS FOR SMOOTHED CROSS-VALIDATION
- Asymptotics for general multivariate kernel density derivative estimators
- Error analysis for general multtvariate kernel estimators
- Uniform in Bandwidth Estimation of Integral Functionals of the Density Function
- Estimation of Distribution Density Belonging to a Class of Entire Functions
- Scale measures for bandwidth selection
- Multivariate empirical characteristic functions
- An automatic bandwidth selector for kernel density estimation
- On a Non-Parametric Analogue of the Information Matrix
- Cross-Validation of Multivariate Densities
- Root n Bandwidth Selectors for Kernel Estimation of Density Derivatives
- Nonparametric Construction of Multivariate Kernels
- Estimation of Integrated Squared Density Derivatives from a Contaminated Sample
- Plug-in bandwidth matrices for bivariate kernel density estimation
- Data‐driven choice of the smoothing parametrization for kernel density estimators
- Comparison of Smoothing Parameterizations in Bivariate Kernel Density Estimation
- Cross-validation Bandwidth Matrices for Multivariate Kernel Density Estimation
- Testing for multimodality
