A number of scientific works Prof. O. A. Pavlov and his disciples is devoted to the development an original method efficient estimation coefficients at nonlinear terms multivariate polynomial regression given by a redundant description under conditions active experiment. The solution formulated problem reduced sequential construction univariate regressions (finding estimates for terms) solving ...

In this work, we consider a multivariate regression model with one-sided errors. We assume for the function to lie in general Hölder class and estimate it via nonparametric local polynomial approach that consists of minimization integral approximation lying above data points. While consideration covariates offers an undeniable opportunity from application-oriented standpoint, requires new metho...