Fitting a multiple regression function

DOI10.1016/0378-3758(84)90017-XzbMath0537.62046OpenAlexW2027776268WikidataQ126377625 ScholiaQ126377625MaRDI QIDQ792724

Ibrahim A. Ahmad, Pi-Erh Lin

Publication date: 1984

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(84)90017-x

zbMATH Keywords

consistencyasymptotic normalityrates of convergenceconsistent estimatoroptimal kernelbounded densityfunction regressionkernel type estimatorminimizing the mean square errormultiple regression modelp-dimensional unit cube

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) General nonlinear regression (62J02) Strong limit theorems (60F15)

Related Items

Consistent nonparametric multiple regression: the fixed design case, Nonparametric estimation of a regression function by delta sequences, Asymptotic properties of the multivariate Nadaraya-Watson regression function estimate: The fixed design case, Towards Insensitivity of Nadaraya--Watson Estimators to Design Correlation, Universal kernel-type estimation of random fields, Surface and function approximation with nonparametric regression, Consistent nonparametric multiple regression for dependent heterogeneous processes: the fixed design case, Nonparametric multiple function fitting, Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms, Fixed design regression for time series: Asymptotic normality, Residuals density estimation in nonparametric regression, Asymptotic normality for robust R-estimators of regression function, Consistent nonparametric regression: Some generalizations in the fixed design case

Cites Work

• Contributions to the theory of nonparametric regression, with application to system identification
• Estimation of a multivariate density
• Remarks on Some Nonparametric Estimates of a Density Function
• Nonparametric Estimation of a Regression Function: Limiting Distribution2
• Some Results Giving Rates of Convergence in the Law of Large Numbers for Weighted Sums of Independent Random Variables
• On Estimation of a Probability Density Function and Mode
• Nonparametric estimation of a regression function
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