1 - 10 of 19 articles
The relationship between the linear errors-in-variables model and the corresponding ordinary linear model in statistical inference is studied. It is shown that normality of the distribution of covariate is a necessary and sufficient condition for the equivalence. Therefore, testing for...
In this paper, the Schwarz Information Criterion (SIC) is used to detect the change points in polynomial regression models. Switching quadratic regression models with same amount of model deviation and switching polynomial regression models with different amount of model deviation for different...
We investigate the existence and the continuity of the inflated attractors for a class of non–autonomous strongly damped wave equations through differential inclusion.
In this paper, we analyze the global and local convergence properties of two predictor-corrector smoothing methods, which are based on the framework of the method in , for monotone linear complementarity problems (LCPs). The difference between the algorithm in  and our algorithms is that...
In this paper, we give a rigorous mathematical and complete parameter analysis for the rheodynamic model of cardiac and obtain the conditions and parameter region for global existence and uniqueness of limit cycle and the global bifurcation diagram of limit cycles. We also discuss the resonance...
A feedback vertex set is a subset of vertices in a graph, whose deletion from the graph makes the resulting graph acyclic. In this paper, we study the minimum-weight feedback vertex set problem in series-parallel graphs and present a linear-time exact algorithm to solve it.
For a pair of nodes s, t in an undirected graph G = (V, A) and a given level U of allowable delay, we would like to modify the network by node-based or edge-based upgrading strategies to make the delay between s and t not greater than U. In this paper, we present some NP-hard results for the...
In this paper, we prove that if G is a plane graph without 4-, 5- and 7-circuits and without intersecting triangles, then for each face f of degree at most 11, any 3-coloring of the boundary of f can be extended to G. This gives a positive support to a conjecture of Borodin and Raspaud which...
In this paper, an algorithm for computing the Janet bases of linear differential equations is described, which is the differential analogue of the algorithm JanetBasis improved by Gerdt. An implementation of the algorithm in Maple is given. The implemented algorithm includes some subalgorithms:...
In this paper,we study a class of dynamical systems in R
— ideal systems and give an existence criterion of quasi-connecting orbits for such systems. Also, an existence criterion of connecting orbits for general systems is given.
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