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
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......
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
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
......
Case-cohort analysis with general additive-multiplicative hazard models
Acta Mathematicae Applicatae Sinica, English Series - Tập 32 - Trang 851-866 - 2016
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......
The impulsive solution for a semi-linear singularly perturbed differential-difference equation
Acta Mathematicae Applicatae Sinica, English Series - Tập 32 - Trang 333-342 - 2016
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.
Ideal Systems and Connecting Orbits
Acta Mathematicae Applicatae Sinica, English Series - Tập 20 - Trang 617-622 - 2004
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.
Regularity of Invariant Sets in Variable Internal Damped Wave Equations
Acta Mathematicae Applicatae Sinica, English Series - Tập 36 Số 4 - Trang 952-974 - 2020
In this paper we prove that every compact invariant subset $$\mathscr{A}$$ associated with the semigroup Sn,k(t)t≥0 generated by wave equations with variable damping, either in the interior or on the boundary of the domain where Ω ⊂ ℝ3 is a smooth bounded domain, in H 0 1 (Ω) × L2(Ω) is in fact bounded in D(B0) × H 0 1 (Ω). As an application of our results, we obtain the upper-semicontinuity for g......
Relationships among classes of spherical matrix distributions
Acta Mathematicae Applicatae Sinica, English Series - - 1984
Some Results on Newtonian Gaseous Stars—Existence and Stability
Acta Mathematicae Applicatae Sinica, English Series - Tập 35 - Trang 230-254 - 2019
This paper surveys some results on the existence and stability of solutions to some partial differential equations of gaseous stars in the framework of Newtonian mechanics, and presents some key ideas in the proofs.
Remarks on Equality of Two Distributions under Some Partial Orders
Acta Mathematicae Applicatae Sinica, English Series - Tập 34 - Trang 274-280 - 2018
In this note we establish some appropriate conditions for stochastic equality of two random variables/ vectors which are ordered with respect to convex ordering or with respect to supermodular ordering. Multivariate extensions of this result are also considered.
The broadcast function valueB(23) is 33 or 34
Acta Mathematicae Applicatae Sinica, English Series - Tập 16 Số 3 - Trang 329-331 - 2000
Tổng số: 1,541
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