A note on the Non negativity of continuous time ARMA and GARCH processes

Báo cáo toán học: "A note on the edge-connectivity of cages" pdf

... X that end at the same vertex in S The union of these paths, together with the two edges joining the neighbors, must contain a cycle of length at most 2i + ≤ g − 1, a contradiction So, let ui+1 ... maintained and the girth of the resulting graph is at least g Edge-Connectivity of (k; g)-Cages Since the (k; 3)-cage, Kk+1 and the (k; 4)-cage, the complete bipartite graph Kk,k , are k-edge-connected, ... prove that all (4; g)-cages are 4-connected [9] We shall often use the following theorem of Fu, Huang and Rodger Monotonicity Theorem [4] If k ≥ and ≤ g1 < g2 , then f (k; g1) < f (k; g2 ) If a...

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Báo cáo toán học: "A Note on the First Occurrence of Strings" ppsx

... i.e., either σ1 or σ2 has the better chance of occurring before σ3 Proof The proof is similar to that of Theorem and therefore omitted the electronic journal of combinatorics 17 (2010), #N5 Theorem ... choosing the pair of strings 11 10 and 00 01 We call these two strings “complement strings”, since each bit of one string is the complement bit of the corresponding bit of the other string ... satisfy the result of Theorem However, in this case we have that p3 < 0.331 < max(p1 , p2 ), which contradicts the result of Theorem References [1] Chen, R., A circular property of the occurrence of...

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Báo cáo toán học: "A Note on the Critical Group of a Line Graph" doc

... [1] Andrew Berget, Andrew Manion, Molly Maxwell, Aaron Potechin, and Victor Reiner The critical group of a line graph arxiv:math.CO/0904.1246 [2] Alexander E Holroyd, Lionel Levine, Karola M´sz´ros, ... Theorem and may be seen as analogous to Theorem 1.2 of [3] In [3], partially for convenience, some assumptions are made about the connectivity of G which are not made in this note For related work on ... The line graph, LG, for G is the multidigraph whose vertices are the edges of G and whose edges are (e, f ) with e+ = f − As with G, we have the Laplacian ∆LG and the critical group K(LG,...

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A study on the teachers' application of task-based method and the 10th form students' use of learning strategies in their listening lessons at Tran Phu High Sch

... our lessons In addition, the thesis is designed to investigate the teachers application of TBM and the 10th form students use of learning strategies in their listening lessons at TPHS in Vinh Phuc ... illustrate the grammatical system of the language and bore no relation to the language of real communication From the description of Grammar-Translation syllabus as well as the characteristics of ... and teacher Conversely, the information is transferred in only one direction in nonreciprocal listening and no meaning negotiation takes place Meaning negotiation plays an important part in listening...

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A note on the Non negativity of continuous time ARMA and GARCH processes

... non- decreasing Tsai & Chan (2005) characterised the non- negativity of the kernel for any CARMA(p, q) process in terms of the complete monotonicity of its Laplace transform They made use of this characterization ... characterization to show that a necessary condition for the kernel g of a stationary CARMA(p, q) process to be non- negative is that λ1 is real, and λ1 < Furthermore, for CARMA processes of lower ... those of β(z) = have negative real parts, and the two equations have no common roots The condition on the roots of α(z) = is necessary for the stationarity of the process whereas that on β(z)...

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