Convergence rates for trigonometric and polynomial-trigonometric regression estimators
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Publication:749097
DOI10.1016/0167-7152(91)90128-EzbMath0712.62037MaRDI QIDQ749097
Publication date: 1991
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
mean squared errorperiodic boundary conditionsorthogonal seriesnonparametric regressionoptimal rates of convergenceUpper boundslow-order polynomialssmooth regression functiontrigonometric series regression estimators
Asymptotic properties of parametric estimators (62F12) Density estimation (62G07) Numerical smoothing, curve fitting (65D10) Linear inference, regression (62J99)
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Cites Work
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- Trigonometric series regression estimators with an application to partially linear models
- Measuring the efficiency of trigonometric series estimates of a density
- Nonparametric orthogonal series estimators of regression: A class attaining the optimal convergence rate in \(L_ 2\)
- Approximation of least squares regression on nested subspaces
- On trigonometric series estimates of densities
- Nonparametric regression analysis of longitudinal data
- Curve fitting by polynomial-trigonometric regression
- On system identification by nonparametric function fitting
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