Some results concerning asymptotic distribution of functional linear regression with points of impact

Document Type : Original Article

Authors

1 Department of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

2 Department of Statistics, Faculty of Sciences, University of Zanjan, Zanjan, Iran

Abstract

Lately, issues related to functional linear regression models with points of impact have garnered significant interest. While the literature has addressed the estimation of parameters for this model with scalar response, less attention has been paid to the asymptotic distribution of the impact points coefficients estimators. In recent literature, the asymptotic distribution has been pointed out in a particular case, but the demonstration of its validity has not been adequately addressed. By explicating the necessary requirements, we derive an important part of the asymptotic distribution of the impact points coefficients estimators in a general setting. This is a fundamental result for finding the asymptotic distribution of the impact points coefficients estimators. Moreover, we perform a simulation study to exhibit the efficiency of the obtained results.

Keywords

AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 28 September 2023

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