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