New aspects of Bregman divergence in regression and classification with parametric and nonparametric estimation

DOI10.1002/cjs.10005zbMath1170.62037OpenAlexW2161960669MaRDI QIDQ3636244

Chunming Zhang, Yuan Jiang, Zuofeng Shang

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1002/cjs.10005

zbMATH Keywords

consistencyasymptotic normalityprediction errorlocal polynomial regressionloss functionBayes optimal rule

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Nonparametric regression and quantile regression (62G08) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Bayesian problems; characterization of Bayes procedures (62C10) General nonlinear regression (62J02)

Related Items (11)

Joint estimation and variable selection for mean and dispersion in proper dispersion models ⋮ Screening-based Bregman divergence estimation with NP-dimensionality ⋮ Locally robust methods and near-parametric asymptotics ⋮ Kernel density estimation by genetic algorithm ⋮ Robust estimation in regression and classification methods for large dimensional data ⋮ Unnamed Item ⋮ Regression with stagewise minimization on risk function ⋮ Hyperlink regression via Bregman divergence ⋮ New aspects of Bregman divergence in regression and classification with parametric and nonparametric estimation ⋮ Nonparametric screening under conditional strictly convex loss for ultrahigh dimensional sparse data ⋮ Regression using localised functional Bregman divergence

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