Masry (1996b) provides estimation bias and variance expression for a general local polynomial kernel estimator in a general multivariate regression framework. Under smoother conditions on the unknown regression and by including more refined approximation terms than that in Masry (1996b), we extend the result of Masry (1996b) to obtain explicit leading bias terms for the whole vector of the loca...

The complexity of pollutant-mixing mechanism in open channels generates large uncertainty estimation longitudinal and lateral dispersion coefficients (Kx Ky). Therefore, Kx Ky rivers should be accompanied by an analysis, a subject mainly ignored previous studies. We introduce method based on thorough analysis different calibration datasets, resampled from global database tracer studies, to dete...

This article considers regularized least square regression on the sphere. It develops a theoretical analysis of the generalization performances of regularized least square regression algorithm with spherical polynomial kernels. The explicit bounds are derived for the excess risk error. The learning rates depend on the eigenvalues of spherical polynomial integral operators and on the dimension o...