Acta Mathematicae Applicatae Sinica, English Series

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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 ...... 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
Equivalence of Differential System
Acta Mathematicae Applicatae Sinica, English Series - Tập 20 - Trang 85-92 - 2004
Zheng-xin Zhou
Using reflecting function of Mironenko we construct some differential systems which are equivalent to the given differential system. This gives us an opportunity to find out the monodromic matrix of these periodic systems which are not integrable in finite terms.
Simultaneous Estimation of Multiple Conditional Regression Quantiles
Acta Mathematicae Applicatae Sinica, English Series - Tập 36 - Trang 448-457 - 2020
Yan-ke Wu, Ya-nan Hu, Jian Zhou, Mao-zai Tian
In this article, we put forward a new approach to estimate multiple conditional regression quantiles simultaneously. Unlike the double summation method in most of the literatures, our proposed model allows continuous variety for the quantile level over (0,1). As a result, all the quantile curves can be obtained via a 2-dimensional surface simultaneously. Most importantly, the proposed minimizing c...... hiện toàn bộ
The impulsive solution for a semi-linear singularly perturbed differential-difference equation
Acta Mathematicae Applicatae Sinica, English Series - Tập 32 - Trang 333-342 - 2016
Ai-feng Wang, Mei Xu, Ming-kang Ni
The impulsive solution for a semi-linear singularly perturbed differential-difference equation is studied. Using the methods of boundary function and fractional steps, we construct the formula asymptotic expansion of the problem. At the same time, Based on sewing techniques, the existence of the smooth impulsive solution and the uniform validity of the asymptotic expansion are proved.
Testing Serial Correlation in Partially Linear Additive Models
Acta Mathematicae Applicatae Sinica, English Series - Tập 35 - Trang 401-411 - 2019
Jin Yang, Chuan-hua Wei
As an extension of partially linear models and additive models, partially linear additive model is useful in statistical modelling. This paper proposes an empirical likelihood based approach for testing serial correlation in this semiparametric model. The proposed test method can test not only zero first-order serial correlation, but also higher-order serial correlation. Under the null hypothesis ...... hiện toàn bộ
Exact solitary-wave solutions and periodic wave solutions for generalized modified Boussinesq equation and the effect of wave velocity on wave shape
Acta Mathematicae Applicatae Sinica, English Series - Tập 24 - Trang 691-704 - 2008
Wei-guo Zhang, Shao-wei Li, Wei-zhong Tian, Lu Zhang
By means of the undetermined assumption method, we obtain some new exact solitary-wave solutions with hyperbolic secant function fractional form and periodic wave solutions with cosine function form for the generalized modified Boussinesq equation. We also discuss the boundedness of these solutions. More over, we study the correlative characteristic of the solitary-wave solutions and the periodic ...... hiện toàn bộ
Ideal Systems and Connecting Orbits
Acta Mathematicae Applicatae Sinica, English Series - Tập 20 - Trang 617-622 - 2004
Shu-xiang Yu, Zuo-huan Zheng, Fan-nu Hu
In this paper,we study a class of dynamical systems in R n — 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.
Hamiltonian decomposition of Cayley graphs of ordersp 2 andpq
Acta Mathematicae Applicatae Sinica, English Series - Tập 16 - Trang 78-86 - 2000
Li Haizhu, Wang Jianfang, Sun Liang
In this paper, it is proved that any connected Cayley graph on an abelian group of order pq orp 2 has a hamiltonian decomposition, wherep andq are odd primes. This result answers partially a conjecture of Alspach concerning hamiltonian decomposition of 2k-regular connected Cayley graphs on abelian groups.
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