A rigidity result for a class of compact generalized quasi-Einstein manifolds with constant scalar curvature is obtained. Moreover, under some geometric assumptions, the non-compact case also proved. Considering non curvature, we characterize which conformal to Euclidean space and show that there exist two classes complete manifolds, are obtained by considering potential functions factors eithe...

In this paper, the optimality proof of Ziv-Lempel coding is re-studied, and a more general compression optimality theorem is derived. In particular, the property of quasi-distinct parsing is defined. This property allows infinitely many repetitions of phrases in the parsing as long as the total number of repetitions is o(n/ logn), where n is length of the parsed string. The quasi-distinct parsi...

We propose two model selection criteria relying on the bootstrap approach, denoted by QAICb1 and QAICb2, in framework of linear mixed models. Similar to justification Akaike Information Criterion (AIC), proposed QAICb2 are proved as asymptotically unbiased estimators Kullback–Leibler discrepancy between a candidate true model. However, they defined quasi-likelihood function instead likelihood p...

In this paper, a class of generalized general mixed quasi variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for the generalized general mixed quasi variational inequalities, suggest a predictor-corrector method for solving the generalized general mixed quasi variational inequalities by using the auxiliary principle technique. If ...