학술논문

Asymptotic results of semi-functional partial linear regression estimate under functional spatial dependency.
Document Type
Article
Source
Communications in Statistics: Theory & Methods. 2022, Vol. 51 Issue 20, p7172-7192. 21p.
Subject
*PARAMETRIC modeling
*RANDOM variables
*SAMPLE size (Statistics)
*PROBABILITY theory
Language
ISSN
0361-0926
Abstract
In this paper, we study the semi-functional partial linear regression for spatial data with considering a both parametric and nonparametric modeling. In this case we obtain the asymptotic normality of the parametric component, and probability convergence with rate of the nonparametric component under spatial dependency. Finally, the performance of the parametric and nonparametric estimators, for finite spatial sample sizes, are given by using simulated and real data with comparison to the nonparametric kernel regression (FNR) model by using cross-validation and k nearest neighbor methods. [ABSTRACT FROM AUTHOR]