Acta Mathematicae Applicatae Sinica, English Series

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A note on the strong edge-coloring of outerplanar graphs with maximum degree 3
Acta Mathematicae Applicatae Sinica, English Series - Tập 32 - Trang 883-890 - 2016
Shun-yi Liu, He-ping Zhang, Hong-liang Lu, Yu-qing Lin
A strong k-edge-coloring of a graph G is an assignment of k colors to the edges of G in such a way that any two edges meeting at a common vertex, or being adjacent to the same edge of G, are assigned different colors. The strong chromatic index of G is the smallest integer k for which G has a strong k-edge-coloring. In this paper, we have shown that the strong chromatic index is no larger than 6 f... hiện toàn bộ
A note on the characteristics of Poisson processes
Acta Mathematicae Applicatae Sinica, English Series - Tập 1 - Trang 149-152 - 1984
Yan Ying, Cheng Kan
In this note two characteristic theorems of Poisson processes are given. If {N(t);t≧0} is a renewal process,U t ,V t are, respectively, the time since the last renewal and the time to the next renewal att, Z t =U t +V t , then a Poisson process can be characterized by the limiting independene of the joint distribution of (U t ,V t ) whent→∞, orEZ t , or the distribution ofZ t .... hiện toàn bộ
Two limit theorems on ARIMA models
Acta Mathematicae Applicatae Sinica, English Series - Tập 4 - Trang 154-164 - 1988
Hongzhi An, Hongye Gao
Let the time series {X(t), t=1, 2, ...} satisfy φ(B)(1−B) d X(t)=ϑ(B)e(t), whereB is a backward shift operator, defined byBX(t)=X(t−1), and φ(z)=1+φ1 z+...+φ p z p , ϑ(z)=1+ϑ1 z+...+я q z q , and all the roots of φ(z) lie outside the unit circle; {e(t)} is a sequence of iid random variables with mean zero andE|e(t)|4+r <∞ (r>0). In this paper, the limit properties of $$\sum\limits_{t = 1}^n {X(t)^... hiện toàn bộ
On detection of change points using mean vectors
Acta Mathematicae Applicatae Sinica, English Series - Tập 9 - Trang 193-203 - 1993
Baiqi Miao, Lincheng Zhao, P. R. Krishnaiah
In this paper, the authors consider the problem of change points within the framework of model selection and propose a procedure for estimating the locations of change points when the number of change points is known. The strong consistency of this procedure is also established. The problem of detecting change points is discussed within the framework of the simultaneous test procedure. The case wh... hiện toàn bộ
Asymptotic behavior of unstable ARMA processes with application to least squares estimates of their parameters
Acta Mathematicae Applicatae Sinica, English Series - Tập 5 - Trang 148-168 - 1989
Hongzhi An
A time seriesx(t),t⩾1, is said to be an unstable ARMA process ifx(t) satisfies an unstable ARMA model such as $$x(t) = a_1 x(t - 1) + a_2 x(t - 2) + \cdots + a_s x(t - s) + w(t)$$ wherew(t) is a stationary ARMA process; and the characteristic polynomialA(z) = 1 −a 1 z −a 2 z 2 − ... −a s z s has all roots on the unit circle. Asymptotic behavior of $$\sum\limits_1^n {x^2 (t)}$$ will be studied by s... hiện toàn bộ
Case-cohort analysis with general additive-multiplicative hazard models
Acta Mathematicae Applicatae Sinica, English Series - Tập 32 - Trang 851-866 - 2016
Yi Sun, Wen Yu, Ming Zheng
The case-cohort design is widely used in large epidemiological studies and prevention trials for cost reduction. In such a design, covariates are assembled only for a subcohort which is a random subset of the entire cohort and any additional cases outside the subcohort. In this paper, we discuss the case-cohort analysis with a class of general additive-multiplicative hazard models which includes t... hiện toàn bộ
Stochastic differential games with reflection and related obstacle problems for Isaacs equations
Acta Mathematicae Applicatae Sinica, English Series - Tập 27 Số 4 - Trang 647-678 - 2011
Rainer Buckdahn, Juan Li
The Number of Circles of a Maximum State of a Plane Graph with Applications
Acta Mathematicae Applicatae Sinica, English Series - - 2021
Xian-an Jin, Jun Ge, Xiao-Sheng Cheng, Yu-qing Lin
Motivated by the connection with the genus of the corresponding link and its application on DNA polyhedral links, in this paper, we introduce a parameter smax(G), which is the maximum number of circles of states of the link diagram D(G) corresponding to a plane (positive) graph G. We show that smax(G) does not depend on the embedding of G and if G is a 4-edge-connected plane graph then smax(G) is ... hiện toàn bộ
Asymptotic canonical forms and iterated logarithm rate results of least squares estimates for unstable ARMA models
Acta Mathematicae Applicatae Sinica, English Series - Tập 12 Số 3 - Trang 257-277 - 1996
Hu-Ming Zhang
An Inverse Design Method for Non-uniform Flow Inlet with a Given Shock Wave
Acta Mathematicae Applicatae Sinica, English Series - Tập 35 - Trang 287-304 - 2019
Wen-you Qiao, An-yuan Yu, Yu-hui Wang
For the hypersonic inlet and fore-body integrated design, the non-uniform incoming flow generated by the fore-body will bring a relatively big challenge to the inward-turning inlet design. To make the inlet match the non-uniform incoming flow, this paper, based on previous studies, develops a cross-stream marching plus (CSMP) method, by which an aerodynamic surface used to generate a given shock s... hiện toàn bộ
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