Abstract
This paper focuses on non parametric estimator regression of scalar response variable given a functional variable when the observations are spatially dependent by local linear method. Then, under some general conditions, in terms of the uniform almost complete convergence with rate of this estimator is treated. Moreover, the usefulness of our results is illustrated through their application to climatological data.
Notes
1 Let be a subset of a semimetric space and let be given. A finite set of points in is called an ϵ-net for if The quantity where is the minimal number of open balls in of radius ϵ which is necessary to cover is called Kolmogorov’s ϵ-entropy of the set