Universal Local Linear Kernel Estimators in Nonparametric Regression

Universal Local Linear Kernel Estimators in Nonparametric Regression

New local linear estimators are proposed for a wide class of nonparametric regression models. The estimators are uniformly consistent regardless of satisfying traditional conditions of dependence of design elements. The estimators are the solutions of a specially weighted least-squares method. The d...

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Bibliographic Details
Main Authors: Yuliana Linke, Igor Borisov, Pavel Ruzankin, Vladimir Kutsenko, Elena Yarovaya, Svetlana Shalnova
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
nonparametric regression
kernel estimator
local linear estimator
uniform consistency
fixed design
random design
Online Access:https://www.mdpi.com/2227-7390/10/15/2693

Internet

https://www.mdpi.com/2227-7390/10/15/2693

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