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- Title
Universal Local Linear Kernel Estimators in Nonparametric Regression.
- Authors
Linke, Yuliana; Borisov, Igor; Ruzankin, Pavel; Kutsenko, Vladimir; Yarovaya, Elena; Shalnova, Svetlana
- Abstract
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 design can be fixed or random and does not need to meet classical regularity or independence conditions. As an application, several estimators are constructed for the mean of dense functional data. The theoretical results of the study are illustrated by simulations. An example of processing real medical data from the epidemiological cross-sectional study ESSE-RF is included. We compare the new estimators with the estimators best known for such studies.
- Subjects
REGRESSION analysis; CROSS-sectional method
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 15, p2693
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10152693