Nonparametric density estimation for multivariate bounded data using two non-negative multiplicative bias correction methods

DOI10.1016/j.csda.2015.07.006zbMath1468.62057OpenAlexW890551905MaRDI QIDQ1663156

Benedikt Funke, Rafael Kawka

Publication date: 21 August 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2003/33762

zbMATH Keywords

bias correctionmultivariate density estimationasymmetric kernels

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Density estimation (62G07) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20)

Related Items (16)

Estimation in a semiparametric partially linear errors-in-variables model with inverse Gaussian kernel ⋮ Multiplicative bias correction for discrete kernels ⋮ Discrete multivariate associated kernel estimators using two multiplicative bias correction methods ⋮ Nonparametric multiplicative bias correction for von Mises kernel circular density estimator ⋮ Nonparametric estimation of multivariate density and its derivative by dependent data using gamma kernels ⋮ Multivariate non-central Birnbaum-Saunders kernel density estimator for nonnegative data ⋮ Multiplicative bias correction for inverse gamma and beta prime kernel density estimators ⋮ Generalised gamma kernel density estimation for nonnegative data and its bias reduction ⋮ Multivariate generalized Birnbaum—Saunders kernel density estimators ⋮ Multiplicative bias correction for asymmetric kernel density estimators revisited ⋮ Towards a better understanding of the dual representation of phi divergences ⋮ New kernel estimators of the hazard ratio and their asymptotic properties ⋮ Asymptotic properties of Dirichlet kernel density estimators ⋮ Multivariate elliptical-based Birnbaum-Saunders kernel density estimation for nonnegative data ⋮ Local linear regression with reciprocal inverse Gaussian kernel ⋮ A symmetric matrix-variate normal local approximation for the Wishart distribution and some applications

Cites Work

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• Density estimation using inverse and reciprocal inverse Gaussian kernels
• A simple bias reduction method for density estimation
• Adaptive estimation of a density function using beta kernels
• Family of the generalised gamma kernels: a generator of asymmetric kernels for nonnegative data
• The Generalized Birnbaum–Saunders Distribution and Its Theory, Methodology, and Application
• Probability density function estimation using gamma kernels

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