Multicollinearity and maximum entropy leuven estimator

Multicollinearity is a serious problem in applied regression analysis. Q. Paris (2001) introduced the MEL estimator to resolve the multicollinearity problem. This paper improves the MEL estimator to the Modular MEL (MMEL) estimator and shows by Monte Carlo experiments that MMEL estimator performs significantly better than OLS as well as MEL estimators.maximum entropy

Group actions, non-K\"ahler complex manifolds and SKT structures

We give a construction of integrable complex structures on the total space of a smooth principal bundle over a complex manifold, with an even dimensional compact Lie group as structure group, under certain conditions. This generalizes the constructions of complex structure on compact Lie groups by Samelson and Wang, and on principal torus bundles by Calabi-Eckmann and others. It also yields large classes of new examples of non-K\"ahler compact complex manifolds. Moreover, under suitable restrictions on the base manifold, the structure group, and characteristic classes, the total space of the principal bundle admits SKT metrics. This generalizes recent results of Grantcharov et al. We study the Picard group and the algebraic dimension of the total space in some cases. We also use a slightly generalized version of the construction to obtain (non-K\"ahler) complex structures on tangential frame bundles of complex orbifolds.Comment: A new Section 4 is adde

Asymmetric Spatial Competition

This paper considers price and location decisions of competing duopolists through an approach that integrates the traditional inside location and outside location model. One firm locates inside a linear city along with consumers while the other locates outside it. We analyze a location-price simultaneous game as well as a location-then price sequential game and characterize the equilibria in pure strategies. The transport cost are assumed to be linear-quadratic and borne by the consumers. We find the results are contrasting to the traditional inside and outside location models and the stability of the proposed model is intermediate between the two.Inside-outside location model, spatial competition, product differentiation, transportation costs, cross-border shopping