Bias reductions for beta kernel estimation

DOI10.1080/10485252.2015.1112011zbMath1343.62016OpenAlexW2278382984MaRDI QIDQ2811264

Gaku Igarashi

Publication date: 10 June 2016

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485252.2015.1112011

zbMATH Keywords

boundary problemnonparametric density estimatorbeta kernel estimator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (8)

Limiting bias-reduced Amoroso kernel density estimators for non-negative data ⋮ Boundary-adaptive kernel density estimation: the case of (near) uniform density ⋮ Minimax properties of Dirichlet kernel density estimators ⋮ Generalised gamma kernel density estimation for nonnegative data and its bias reduction ⋮ Multiplicative bias correction for asymmetric kernel density estimators revisited ⋮ Nonparametric direct density ratio estimation using beta kernel ⋮ Asymptotic properties of Dirichlet kernel density estimators ⋮ Higher-order bias corrections for kernel type density estimators on the unit or semi-infinite interval

Uses Software

• DLMF

Cites Work

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• Remarks on Some Nonparametric Estimates of a Density Function
• Generalized jackknifing and higher order kernels
• A bias-reduced approach to density estimation using Bernstein polynomials
• Density estimation using inverse and reciprocal inverse Gaussian kernels
• A simple bias reduction method for density estimation
• On improving convergence rate of Bernstein polynomial density estimator
• Kernel density estimation for heavy-tailed distributions using the champernowne transformation
• Probability density function estimation using gamma kernels

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