Let $X$ be a uniformly convex Banach space with a continuous semi-inner product.We investigate the relation of orthogonality in $X$ and generalized projections acting on $X$. We prove uniqueness of orthogonal and co-orthogonal projections.
(2012) Rydlewski, Jerzy Piotr; Mielczarek, Dominik
The subject of this article is to present the beta – regression model, where we assume that one parameter in the model is described as a combination of algebraically independent continuous functions. The proposed beta model is useful when the dependent variable is continuous and restricted to the bounded interval. The parameters are obtained by maximum likelihood estimation. We prove that estimators are consistent and asymptotically normal.
