Penalized likelihood-type estimators for generalized nonparametric regression

DOI10.1006/jmva.1996.0010zbMath0849.62022OpenAlexW2028204517MaRDI QIDQ1914683

Finbarr O'Sullivan, Dennis D. Cox

Publication date: 5 August 1996

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/332fbab03c68d199bb25bcc971ded1f74108543a

zbMATH Keywords

smoothing splinesrates of convergencenonparametric regressionmaximum penalized likelihoodmultiple classificationGaussian approximationspenalty functionalestimation errorsmoothing parameterinfinite-dimensional spacesintegrated squared errorfirst-order asymptotic approximationslinear Taylor series expansionsvector-valued nonparametric regression function estimators

Mathematics Subject Classification ID

Density estimation (62G07) Numerical methods for integral equations (65R20) Asymptotics of solutions to integral equations (45M05) (Semi-) Fredholm operators; index theories (47A53) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

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