Nonparametric regression estimation in models with weak error's structure

DOI10.1016/0047-259X(91)90079-HzbMath0734.62046MaRDI QIDQ811055

Gonzalo Pérez Iribarren, Ricardo Fraiman

Publication date: 1991

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

zbMATH Keywords

consistencyasymptotic normalitynonparametric regressionlimit distributionrepeated measurementsalpha-mixing processeslocally weighted averagesspace of real-valued continuous functionsuniform mean square convergenceweak convergence to a Gaussian process

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

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The consistency for the estimators of semiparametric regression model based on weakly dependent errors, The central limit theorem for ANA sequences and its application to nonparametric regression models, Smoothing dependent observations, Asymptotic properties of wavelet-based estimator in nonparametric regression model with weakly dependent processes, Strong consistency of estimators in partially linear models for longitudinal data with mixing-dependent structure, Moment consistency of estimators in partially linear models under NA samples, Consistency and asymptotic normality of wavelet estimator in a nonparametric regression model, Wavelet-L₁-estimation for non parametric location-scale models under a general dependence framework, Wavelet Estimator in Nonparametric Regression Model with Dependent Error’s Structure, A wavelet estimator in a nonparametric regression model with repeated measurements under martingale difference error's structure, The consistency for the estimators of semiparametric regression model with dependent samples, Trapezoidal rule and sampling designs for the nonparametric estimation of the regression function in models with correlated errors, On consistency of wavelet estimator in nonparametric regression models, Kernel-based functional principal components, Asymptotics of a wavelet estimator in the nonparametric regression model with repeated measurements under a NA error process, Nonparametric regression estimation in models with weak error's structure

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