The notion of the univariate divided differences is generalized to the multivariate case. This generalization is based on a pointwise evaluation of a certain multivariate function. Several properties ...

In nonparametric multivariate regression analysis, we seek methods to reduce the dimensionality of the regression function to bypass the difficulty caused by the curse of dimensionality. The original ...

Recent advances in estimation techniques have underscored the growing importance of shrinkage estimation and balanced loss functions in the analysis of multivariate normal distributions. These ...

Over recent decades, approximation theory has evolved to incorporate sophisticated operator-based techniques that extend classical sampling methods. Central to these developments is the use of ...