A note on bias reduction in variable‐kernel density estimates

DOI10.2307/3315701zbMath0799.62037OpenAlexW2067935951MaRDI QIDQ4280406

Ian McKay

Publication date: 14 March 1994

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

Full work available at URL: https://doi.org/10.2307/3315701

zbMATH Keywords

asymptotic biasfixed-bandwidth estimatorinverse-square-root rulereduction in biassmoothly clipped estimatoruniformly continuous fourth derivativesuniformly convergent bias expansionvariable-kernel density estimator

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (13)

A note on bias reduction in variable‐kernel density estimates ⋮ Asymptotic bias and variance for a general class of varying bandwidth density estimators ⋮ On the variable bandwidth kernel estimation of conditional \(U\)-statistics at optimal rates in sup-norm ⋮ On the effect of estimating the error density in nonparametric deconvolution ⋮ Variable bandwidth kernel density estimation for censored data ⋮ From basic to reduced bias kernel density estimators: links via taylor series approximations ⋮ Central limit theorem for the variable bandwidth kernel density estimators ⋮ Uniform asymptotics for kernel density estimators with variable bandwidths ⋮ Reducing bias in curve estimation by use of weights. ⋮ Variable bandwidth kernel regression estimation ⋮ Asymptotic unbiased density estimators ⋮ Multivariate locally adaptive density estimation. ⋮ An assessment of finite sample performance of adaptive methods in density estimation

Cites Work

• Variable kernel density estimation
• Variable location and scale kernel density estimation
• On bandwidth variation in kernel estimates. A square root law
• Improved variable window kernel estimates of probability densities
• On the bias of variable bandwidth curve estimators
• A note on bias reduction in variable‐kernel density estimates
• Unnamed Item

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