Trigonometric series regression estimators with an application to partially linear models

DOI10.1016/0047-259X(90)90072-PzbMath0709.62041MaRDI QIDQ921774

Elsie Sterbin Gottlieb

Publication date: 1990

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

zbMATH Keywords

nonparametric regressionpartially linear modelintegrated mean squared errorcosine series estimatorcut-and-normalized kernel estimatorsintegrated squared bias approximationspartial integrated mean squared errortrigonometric series type estimators

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Linear inference, regression (62J99)

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Cites Work

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• Nonparametric orthogonal series estimators of regression: A class attaining the optimal convergence rate in \(L_ 2\)
• Fourier and Hermite series estimates of regression functions
• Convergence rates for partially splined models
• On trigonometric series estimates of densities
• On system identification by nonparametric function fitting
• The Estimation of Probability Densities and Cumulatives by Fourier Series Methods