Computationally efficient parallel algorithms for downdating the least-squares estimator of the ordinary linear model (OLM) are proposed. The algorithms are block versions of sequential Givens strategies and efficiently exploit the triangular structure of the matrices. The first strategy...

A computationally efficient branch-and-bound strategy for finding the subsets of the most statistically significant variables of a vector autoregressive (VAR) model from a given search subspace is proposed. Specifically, the candidate submodels are obtained by deleting columns from the...

Efficient algorithms for diagnosing influential data points are investigated. Techniques examining potentially influential subsets are considered. Given a list of candidate observations, a new row-dropping algorithm (RDA) computes all possible observation-subset regression models. It employs a...

The General Linear Model (GLM) is the parent model of econometrics. Simultaneous equations and seemingly unrelated regression equation (SURE) models, to name but a few, can be formulated as a GLM. The estimation of the GLM can be viewed as a Generalized Linear Least-Squares problem (GLLSP). The...