In the literature results can be found which claim consistency for the subspace method under certain quite weak assumptions. Unfortunately, a new result gives a counter example showing inconsistency under these assumptions and then gives new more strict su$cient assumptions which however does not include important model structures such as, e.g. Box}Jenkins. Based on a simple least-squares appro...

Abstract We construct a least squares approximation method for the recovery of complex-valued functions from reproducing kernel Hilbert space on $$D \subset \mathbb {R}^d$$ D ⊂ R d . The nodes are drawn at random ...

The isogeometric collocation method (IGA-C), which is a promising branch of analysis (IGA), can be considered fitting the load function with combination numerical solution and its derivatives. In this study, we develop an iterative method, least-squares progressive-iterative approximation (IG-LSPIA), to solve problem in method. IG-LSPIA starts initial blending function, where control coefficien...

This article introduces the use of regression models based on the Poisson distribution as a tool for resolving common problems in analyzing aggregate crime rates. When the population size of an aggregate unit is small relative to the offense rate, crime rates must be computed from a small number of offenses. Such data are ill-suited to least-squares analysis. Poisson-based regression models of ...