Data-dependent bandwidth choice for a grade density kernel estimate

DOI10.1016/0167-7152(93)90074-SzbMath0764.62035OpenAlexW2027540799MaRDI QIDQ1210131

Jan Mielniczuk, Jan Ćwik

Publication date: 16 May 1993

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(93)90074-s

zbMATH Keywords

expansionsmoothing parametermultimodal densitiesmean integrated square errorunimodal densitiesdata-dependent bandwidthgrade density kernel estimateminimizer of the asymptotic MISE

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (9)

An overview of nonparametric contributions to the problem of functional estimation from biased data ⋮ Relative hazard rate estimation for right censored and left truncated data ⋮ Skewing methods for variance-stabilizing local linear regression estimation ⋮ Relative density estimation for left truncated and right censored data ⋮ Optimal adaptive estimation of the relative density ⋮ Relative density estimation and local bandwidth selection for censored data ⋮ Updating joint uncertainty in trend and depositional scenario for reservoir exploration and early appraisal ⋮ Plug-in bandwidth selector for the kernel relative density estimator ⋮ Nonparametric direct density ratio estimation using beta kernel

Cites Work

• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Estimating density ratio with application to discriminant analysis
• Incorporating support constraints into nonparametric estimators of densities
• Equivalence of Smoothing Parameter Selectors in Density and Intensity Estimation
• On Estimation of a Probability Density Function and Mode
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