Nonparametric Construction of Multivariate Kernels

DOI10.1080/01621459.2012.695657zbMath1443.62084OpenAlexW2042563932MaRDI QIDQ4648553

Kjell Konis, Victor M. Panaretos

Publication date: 9 November 2012

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01621459.2012.695657

zbMATH Keywords

smoothingbandwidth selectiondensity estimationbackprojectionradon transform

Mathematics Subject Classification ID

Density estimation (62G07) Software, source code, etc. for problems pertaining to statistics (62-04) Characteristic functions; other transforms (60E10)

Related Items (6)

On non-parametric density estimation on linear and non-linear manifolds using generalized Radon transforms ⋮ A roughness penalty approach to estimate densities over two-dimensional manifolds ⋮ Learning mixtures of polynomials of multidimensional probability densities from data using B-spline interpolation ⋮ Nonparametric ridge estimation ⋮ Root \(n\) estimates of vectors of integrated density partial derivative functionals ⋮ In-sample forecasting applied to reserving and mesothelioma mortality

Uses Software

• R

Cites Work

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• The Radon transform.
• Convergence rates for unconstrained bandwidth matrix selectors in multivariate kernel density estimation
• The Mathematics of Computerized Tomography
• Plug-in bandwidth matrices for bivariate kernel density estimation
• Cross-validation Bandwidth Matrices for Multivariate Kernel Density Estimation

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