(R1953) M-Regression Estimation with the k Nearest Neighbors Smoothing under Quasi-associated Data in Functional Statistics

Authors

Bellatrach Nadjet, Djillali Liabes University
Bouabsa Wahiba, Djillali Liabes University
Attouch Mohammed Kadi, Djillali Liabes University
Fetitah Omar, Djillali Liabes University

Abstract

The main goal of this paper is to study the non parametric M-estimation under quasi-associated sequence with the k Nearest Neighbor’s method shortly (kNN). We construct an estimator of this nonparametric function and we study its asymptotic properties. Furthermore, a comparison study based on simulated data is also provided to illustrate the highly sensitive of the kNN approach to the presence of even a small proportion of outliers in the data.

Recommended Citation

Nadjet, Bellatrach; Wahiba, Bouabsa; Kadi, Attouch Mohammed; and Omar, Fetitah (2022). (R1953) M-Regression Estimation with the k Nearest Neighbors Smoothing under Quasi-associated Data in Functional Statistics, Applications and Applied Mathematics: An International Journal (AAM), Vol. 17, Iss. 2, Article 4.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss2/4