The Boolean model is a simple nontrival random closed set process. It consists of a Poisson point process (producing germs) coupled with an independent random shape process (grains). Origins of grains are translated to germs to produce an arrangement of overlapping (or interpenetrating) shapes....

Given an -by- matrix and a fixed perturbation matrix , the effect of the linear perturbations + , ∈ ℂ, on certain spectral properties of is analyzed. Specially the effect of the structure of on these properties is investigated. A geometric framework for spectral analysis of + is developed to...

For any two order polynomials () and (), the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial () such that ()/() and ()/() are both strictly positive real

We consider possible measures of dependence for two symmetric alpha-stable (SαS) random variables. Some results are given which enlighten a few deficiencies of these measures. We propose a new measure which partially solve these problems. The results are illustrated by simulations

The general purpose in mixture experiments is to find the proportions of its components with better properties. Traditionally the solution of this problem has been made with different techniques of the mixture designs. In this paper the Genetics Algorithms are presented to find a solution to the...

We prove the existence of an upper bound for the number of blockings required to get from one imputation to another provided that accessibility holds. The bound depends only on the number of players in the TU game considered. For the class of games with non-empty cores this means that the core...

In this paper, the author introduces an -cut based similarity condition (both in a weak and in a strong version) for fuzzy sets, originally presented by H. F. Based on this similarity condition, the author first shows that modeling with the standard trapezoid function is similar to modeling with...

Necessary and sufficient conditions are determined for the set inclusionsto hold for generalized inverses of matrix products through some rank formulas for the maximal and minimal ranks of a Schur complement − . Several consequences and applications of these results are also presented. In...

The purpose of the present paper is to study in which cases the method of maximum likelihood is more preferential than other estimation methods of unknown distribution parameters, and also when it is necessary to use the Akaike or the RMSE criteria for selection of statistical models.The...