The Lee-Nauenberg theorem is a fundamental quantum mechanical result which provides the standard theoretical response to the problem of collinear and infrared divergences. Its argument, that the divergences due to massless charged particles can be removed by summing over degenerate states, has been successfully applied to systems with final state degeneracies such as LEP processes. If there are...

Objectives of the study: to demonstrate methodological gaps in empirical work that use structural models area International Business, and prescribe complementary methods mitigate problem collinearity
 Method: a simulation was developed evidence effects collinearity with respect importance significance predictors, actions aimed at controlling undesired developed
 Main results: proposit...

We studied spatial integration at low contrasts by testing the detection thresholds of multi-Gabor element displays, examining configuration parameters such as orientation uniformity, contour smoothness, continuity, spacing and relative phase. We find that detectability depends on stimulus geometry and is constrained by collinearity and proximity spatial relationships. For textures, thresholds ...

Motivated by modern regression applications, in this paper, we study the convexification of a class convex optimization problems with indicator variables and combinatorial constraints on indicators. Unlike most previous work sparse problems, simultaneously consider nonlinear non-separable objective, variables, constraints. Specifically, give hull description epigraph composition one-dimensional...

Principal component regression (PCR) is often used in regression with multicollinearity. Although this method avoids the problems which can arise in the least squares (LS) approach, it is not optimized with respect to the ability to predict the response variable. We propose a method which combines the two steps in the PCR procedure, namely finding the principal components (PCs) and regression o...

Background: Hox gene collinearity is a universal phenomenon most emphatically observed during the development of vertebrate embryos. The last decade or so, a series of genetic engineering experiments have been performed including Hox gene deletions, duplications or transpositions. These experiments are illuminating and helpful to understand the mechanisms responsible for Hox gene collinearity. ...

The primary objective is to bring out and discuss the issues raised by the differences between the numerical and the statistical perspective on nearcollinearity in the context of the Linear Regression model. The numerical perspective views the problem as stemming from the ill-conditioning of the (X|X) matrix, which does not necessarily originate in high sample correlations among the regressors....