This work deals with the weighted excesses of players in cooperative games which are obtained by summing up all coalitions to they belong. We first show that resulting payoff vector is corresponding least square value lexicographically minimizing individual over preimputation set, and thus give an alternative characterization values. Second, we these results rise lower upper bounds for core vec...

In this paper, we consider the problem of the mean-square optimal linear estimation of functionals which depend on the unknown values of a stationary stochastic sequence from observations with noise. In the case of spectral certainty in which the spectral densities of the sequences are exactly known, we propose formulas for calculating the spectral characteristic and value of the mean-square er...

in the process of vermicomposting, the earthworms eisenia fetida have been exposed to various metals with different concentrations to study the effects on worms’ bioaccumulation. the study was carried within 14 days of exposure. five different chemical compounds in various concentrations were added as mixture solutions to the experimental containers. metals concentrations were measured in earth...

a meshless approach, collocation discrete least square (cdls) method, is extended in this paper, for solvingelasticity problems. in the present cdls method, the problem domain is discretized by distributed field nodes. the fieldnodes are used to construct the trial functions. the moving least-squares interpolant is employed to construct the trialfunctions. some collocation points that are indep...

In this work, we develop a distributed least squares approximation (DLSA) method that is able to solve large family of regression problems (e.g., linear regression, logistic and Cox's model) on system. By approximating the local objective function using quadratic form, are obtain combined estimator by taking weighted average estimators. The resulting proved be statistically as efficient global ...

RNA molecules whose secondary structures contain similar substructures often have similar functions. Therefore, an important task in the study of RNA is to develop methods for discovering substructures in RNA secondary structures that occur frequently (also referred to as motifs). In this paper, we consider the problem of computing an optimal local alignment of two given labeled ordered forests...