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Asymptotics of discounted aggregate claims for renewal risk model with risky investment

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Applied Mathematics(A Journal of Chinese Universities) 2010年第2期25卷 209-216页

作者： JIANG Tao School of Finance, zhejiang gongshang university, Hangzhou 310018, China School of Finance Zhejiang Gongshang University Hangzhou China

Under the assumption that the claim size is subexponentially distributed and the insurance surplus is totally invested in risky asset, a simple asymptotic relation of tail probability of discounted aggregate claims for renewal risk model within finite horizon is obtained. The result extends the corresponding conclusions of related references.

关键词： Discounted aggregate claims ruin probability within finite horizon renewal risk model risky investment subexponential class.

Large-deviation probabilities for maxima of sums of subexponential random variables with application to finite-time ruin probabilities

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Science China Mathematics 2008年第7期51卷 1257-1265页

作者： JIANG Tao School of Finance,zhejiang gongshang university,Hangzhou 310018,China School of Finance Zhejiang Gongshang University Hangzhou China

We establish an asymptotic relation for the large-deviation probabilities of the maxima of sums of subexponential random variables centered by multiples of order statistics of *** uniform random *** extends a corresponding result of *** an application,we generalize a result of Tang,the uniform asymptotic estimate for the finite-time ruin probability,to the whole strongly subexponential class.

关键词： large-deviation probability strongly subexponential distribution finite-time ruin probability the compound Poisson model uniform asymptotics 91B30 60G70 62P05

The Government and the Market in the Post-Financial Crisis Era:Role Location and Governance Border——Observations and Reflections on Current Economic and Social Problems

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学术界 2010年第5期 249-252页

作者： Chen Shengyong Li Jigang zhejiang gongshang university

The Cauchy problem about Dirac-wave map from the 2-dimension Minkowski space to a complete Riemannian manifold

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Science China Mathematics 2007年第6期50卷 859-874页

作者： Yan ZHANG School of Statistics and Mathematics , zhejiang gongshang university, Hangzhou 310018, China Department of Physics, zhejiang university, Hangzhou 310027, China School of Statistics and Mathematics Zhejiang Gongshang University Hangzhou China Department of Physics Zhejiang University Hangzhou China

When a target manifold is complete with a bounded curvature, we prove that there exists a unique global solution which satisfies the Euler-lagrange equation of for the given Cauchy data.

关键词： Dirac-wave map nonlinear σ-model spin bundle harmonic map 53C43

Hu Shi's Essay "More Researches,Less Doctrines" Was "a Malicious Attack Against Marxism":Some Humble Opinion of My Own

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学术界 2010年第12期 272-275页

作者： Zhang Xin College of Marxism Studies,zhejiang gongshang university

On July 20,1919,Hu Shi had his essay entitled "More Researches,Less Doctrines" (hereafter referred as Hu’s essay) published in Weekly Review *** essay gave rise to the debate on "problem or doctrine" .The 1950s’ saw an officially-mobilized massive campaign in the mainland Chins against Hu Shi’s ***’s essay was interpreted from the perspective of "revolutionary history" and looked upon as "a malicious attack against Marxism" .Since then the debate has carried extraordinarily political *** to now,all the authoritative domestic newspapers and periodicals as well as most publications concerned still take the debate on "problem or doctrine" as the watershed between Marxism and *** author of this paper holds that the above-mentioned views on Hu Shi hardly tally with the historical *** paper therefore attempts to give a historically valid review of Hu’s essay.

关键词： Was More Researches,Less Doctrines Some Humble Opinion of My Own a Malicious Attack Against Marxism Hu Shi’s Essay

Irrigation Water Use Efficiency of Farmers and Its Determinants: Evidence from a Survey in Northwestern China

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Agricultural Sciences in China 2010年第9期9卷 1326-1337页

作者： WANG Xue-yuan College of Economics, zhejiang gongshang university, Hangzhou 310018, P.R.China College of Economics Zhejiang Gongshang University Hangzhou 310018 P.R. China

Irrigation water shortage is becoming an increasingly serious problem in agricultural production. In this case, it is very important for policy makers to take measures to improve irrigation water use efficiency, especially in the water-scarce areas. In this paper, the data envelopment analysis （DEA） techniques, based on the concept of input-specific technical efficiency were used to develop farm-level technical efficiency measures and sub-vector efficiencies for irrigation water use. The Tobit regression technique was then adopted to identify the factors that influence irrigation water efficiency differentials under the shortage of water resources. Based on a sample data of 432 wheat farmers in northwestern China, our experimental results of the DEA analysis showed the average technical efficiency of 0.6151. It suggested that wheat farmers could increase their production by as much as 38.49% by using inputs more efficiently. Further, the mean irrigation water efficiency of 0.3065, suggested that wheat farmers could produce the same quantity of wheat using the same quantity of inputs but with 69.35% less water. The results of the Tobit regression analysis showed that the farmer＇s age, income, education level, and the farm size tended to affect the degree of irrigation water efficiency positively, and the channel conditions and different irrigation methods made a significant impact on irrigation water use efficiency. Furthermore, the arrangements of exclusive water property rights and competitive water price mechanism have effectively encouraged the water saving behavior of farmers. These results are valuable for policy makers since it could help to guide policies towards high irrigation water use efficiency.

关键词： irrigation water efficiency determinants data envelopment analysis Tobit regression

Signal interaction between nitric oxide and hydrogen peroxide in heat shock-induced hypericin production of Hypericum perforatum suspension cells

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Science China(Life Sciences) 2008年第8期51卷 676-686页

作者： XU MaoJun, DONG JuFang & ZHANG XinBo Institute of Natural Resource and Environmental Sciences, zhejiang gongshang university, Hangzhou 310035, China Institute of Natural Resource and Environmental Sciences Zhejiang Gongshang University Hangzhou China

Heat shock(HS, 40℃, 10 min) induces hypericin production, nitric oxide(NO) generation, and hydrogen peroxide(H2O2) accumulation of Hypericum perforatum suspension ***(CAT) and NO spe-cific scavenger 2-4-carboxyphenyl-4,4,5,5-tetramethylimidazoline-1-oxyl-3-oxide(cPTIO) suppress not only the HS-induced H2O2 generation and NO burst, but also the HS-triggered hypericin *** contents of the cells treated with both NO and H2O2 are significantly higher than those of the cells treated with NO alone, although H2O2 per se has no effects on hypericin production of the cells, which suggests the synergistic action between H2O2 and NO on hypericin *** treatment enhances H2O2 levels of *** cells, while external application of H2O2 induces NO generation of ***, the results reveal a mutually amplifying action between H2O2 and NO in *** *** treatment inhibits both HS-induced H2O2 accumulation and NO generation, while cPTIO can also suppress H2O2 levels of the heat shocked *** results imply that H2O2 and NO may enhance each other's levels by their mutually amplifying action in the heat shocked *** NAD(P)H oxidase inhibitor diphenylene iodonium(DPI) and nitric oxide synthase(NOS) inhibitor S,S′-1,3-phenylene-bis(1,2-ethanediyl)-bis-isothiourea(PBITU) not only inhibit the mutually amplifying action between H2O2 and NO but also abolish the synergistic effects of H2O2 and NO on hypericin production, showing that the synergism of H2O2 and NO on secondary metabolite biosynthesis might be dependent on their mutual *** together, data of the present work demonstrate that both H2O2 and NO are essential for HS-induced hypericin production of *** suspension ***, the results reveal a special interaction between the two signal molecules in mediating HS-triggered secondary metabolite biosynthesis of the cells.

关键词： Hypericum perforatum cells hypericin heat shock nitric oxide hydrogen peroxide signal interaction

The Nother and Riemann-Roch type theorems for piecewise algebraic curve

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Science China Mathematics 2007年第2期50卷 165-182页

作者： Yi-sheng LAI & Ren-hong WANG College of Statistics and Mathematics, zhejiang gongshang university, Hangzhou 310018, China Institute of Mathematical Sciences, Dalian university of Technology, Dalian 116024, China College of Statistics and Mathematics Zhejiang Gongshang University Hangzhou China Institute of Mathematical Sciences Dalian University of Technology Dalian China

A piecewise algebraic curve is a curve determined by the zero set of a bivariate spline function. In this paper, the Nother type theorems for Cμpiecewise algebraic curves are obtained. The theory of the linear series of sets of places on the piecewise algebraic curve is also established. In this theory, singular cycles are put into the linear series, and a complete series of the piecewise algebraic curves consists of all effective ordinary cycles in an equivalence class and all effective singular cycles which are equivalent specifically to any effective ordinary cycle in the equivalence class. This theory is a generalization of that of linear series of the algebraic curve. With this theory and the fundamental theory of multivariate splines on smoothing cofactors and global conformality conditions, and the results on the general expression of multivariate splines, we get a formula on the index, the order and the dimension of a complete series of the irreducible Cμpiecewise algebraic curves and the degree, the genus and the smoothness of the curves, hence the Riemann-Roch type theorem of the Cμpiecewise algebraic curve is established.

关键词： Piecewise algebraic curve place cycle complete linear series.

POLAR SETS OF MULTIPARAMETER BIFRACTIONAL BROWNIAN SHEETS

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Acta Mathematica Scientia 2010年第3期30卷 857-872页

作者：陈振龙李慧琼 College of Statistics and Mathematics Zhejiang Gongshang University

Let B^H＇K={B^H＇K（t）, t∈R＋^N} be an （N,d）-bifractional Brownian sheet with Hurst indices H = （H1,…,HN） C∈0,1）^N and K = （K1,…,KN） ∈ （0,1]^N. The properties of the polar sets of B^H＇K are discussed. The sufficient conditions and necessary conditions for a compact set to be polar for B^H＇K are proved. The infimum of Hausdorff dimensions of its non-polar sets are obtained by means of constructing a Cantor-type set to connect its Hausdorff dimension and capacity.

关键词： Bifractional Brownian sheet polar set Hausdorff dimension packing dimen- sion capacity