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...

Abstract Vector Autoregressive (VAR) is a multivariate time series model for examining objects with two or more variables in which the affect each other under stationarity assumption. This study aims to compare parameter estimation procedure of VAR(1) Ordinary Least Square (OLS) and Maximum Likelihood Estimation (MLE) methods. The comparison investigated by both theoretical empirical approaches...

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 ...