外商直接投资与我国经济增长关系的协整分析

本文通过协整检验和误差修正模型，利用1984-2003年的数据，对外商直接投资与我国经济增长关系进行了实证分析。结果表明：我国经济增长与外商直接投资之间存在长、短期稳定的正向关系。通过Granger因果关系检验，外商直接投资是中国经济增长的Granger原因，而反之却不成立。     

深圳社会消费品零售总额对经济增长影响的实证分析

对1979年至2007年深圳的社会消费品零售总额(TRG)与国内生产总值(GDP)进行协整检验,检验结果表明:TRG与GDP的对数序列存在协整关系,它们之间存在长期的均衡关系;进而建立了误差修正模型;并由Granger因果分析,得出结论:深圳TRG的增加必然导致GDP的增长,反之不真.     

钢铁工业总产值与能源消耗量协整分析及误差修正

选取1978-2006年样本区间内我国钢铁工业总产值和能源消耗的相关数据,通过协整检验、误差修正模型和Granger因果关系检验,对钢铁工业总产值和能源消耗量在时序维度的长期均衡和短期动态性进行实证研究.结果表明,钢铁工业能源消耗结构中燃料煤消耗量与钢铁工业总产值具有长期动态均衡关系,并且燃料煤消耗量还是钢铁工业总产值的单向Granger原因,而电力、重油和焦炭消耗量与钢铁工业总产值之间没有长期均衡关系,印证了我国钢铁工业以燃料煤消耗为主的能源消耗结构的不均衡性.     

产业结构变动与城乡收入差距关系的协整分析

根据中国1952-2008年的数据,运用协整理论和Granger因果检验分析了中国产业结构变动与城乡收入差距的关系.协整检验及误差修正模型结果表明,二者之间在所研究期间内存在长期稳定的正向均衡关系,并且短期动态校正作用明显.同时,Granger因果关系检验结果说明中国的产业结构变动与城乡收入差距扩大之间存在双向因果关系.     

能源消费与产业发展的协整性与因果关系分析

能源消费与经济增长关系密切,本文利用协整理论,检验了我国能源消费总量与国民生产总值以及三次产业之间的协整性和Granger因果关系,并且建立了向量误差修正模型。研究结果表明,我国能源消费与GDP以及第一产业、第三产业之间存在协整关系,但是能源消费与第二产业之间并不存在长期的均衡关系。并且,GDP和三次产业只是能源消费的单向Granger因果关系,它们之间并不存在双向的Granger因果关系。     

基于协整理论和格兰杰检验的中国铜矿进口影响因素的实证分析

铜矿是重要的战略性矿产资源,而中国资源匮乏,主要依赖进口.近年来,中国铜矿需求量逐年递增.分析我国铜矿进口贸易的影响因素,对保障我国进口铜矿资源的稳定供给具有重要的现实意义.基于1997—2011年中国铜矿进口额的面板数据,采用Eviews 6.0软件,分析检验了中国铜矿进口额与GDP、铜矿储量、世界铜矿产量以及美元指数等变量之间的协整与格兰杰(Granger)因果关系.研究表明:1)中国铜矿进口额与我国GDP、我国铜矿储量、世界铜矿产量以及美元指数之间存在长期的均衡关系;2)中国GDP与世界铜矿产量是我国铜矿进口额变动的格兰杰原因.基于以上研究结论,提出了相应的政策建议.     

莆田市旅游业的发展与区域经济增长关系的实证研究

基于1996-2013年莆田市旅游业收入与地区GDP的相关数据,研究莆田市旅游业的发展与区域经济增长的关系.考虑到这些数据是时间序列数据,首先对这些序列进行平稳性分析,然后应用协整理论和Granger因果检验进行实证研究,并且建立了误差修正模型.结果表明,莆田市旅游业的发展与区域经济增长存在着长期稳定的关系和单向的Granger因果原因,即区域经济带动旅游业的发展影响较小,而旅游业的发展促进区域经济发展的影响较明显.     

基于ADL模型的贵州省高等教育与经济增长关系的实证分析

利用贵州省1978-2010年数据对高等教育发展水平与经济增长之间的关系进行协整分析和Granger因果关系检验,实证研究表明二者之间存在协整关系,即贵州省高等教育发展水平与经济增长之间存在长期的动态均衡关系,在10%的显著水平下,二者存在双向的Granger因果关系,说明贵州省高等教育的发展与经济增长相互促进.为研究二者之间的具体传导机制,建立了ECM模型和ADL模型,结果也印证Granger因果分析,但贵州省高等教育对经济增长的促进力度是比较薄弱的,需要加强改进.结果可以为政府部门对教育经济的决策提供科学依据及参考.     

甘肃省固定资产投资与经济增长关系的协整分析

运用协整理论和格兰杰检验,对甘肃省1995-2009年间的固定资产投资与GRP的数据进行分析研究,结果表明两者之间存在长期稳定的均衡关系,甘肃省目前的固定资产投资与GRP存在双向因果关系,这说明甘肃省固定资产投资明显拉到了经济增长,而经济增长对投资的发展也起了显著的促进作用.     

股票回报率与汇率的关系——基于中国的实证

考察了上海股票市场A股的回报率与人民币汇率的关系．首先,经过单位根检验发现：股票回报率与人民币名义汇率是一阶单整。接着,利用Engle—Granger协整检验得到：在5％的显著性水平下,股票回报率与人民汇率没有长期均衡关系,但不能够拒绝短期单方向的Granger因果关系,即人民币名义汇率是股票回报率的Granger原因．     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].