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An invariance principle for negatively associated random variables

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Chinese Science Bulletin 1997年第5期42卷 359-364页

作者： lin zhengyandepartment of mathematics and Information Science, hangzhou university, hangzhou 310028, china Department of mathematics and Information Science Hangzhou University Hangzhou China

A finite collection of random variables, X1,…, Xn （n≥2）, is said to be negatively associated （NA） if any two coordinatewise nondecreasing （or nonincreasing） functions f1 and f2 on Rn, such that （?）j=fj（X1,…,Xn） have a finite variance for j=1, 2 and Cov（（?）1,（?）2）≤0; an infinite collection is said to be NA if every finite subcollection is NA. It is relative to a lot of practical problems, such as reliability theory, percolation models and multivariate statistical analysis. Matula （1992） studied the strong laws of large numbers for an NA sequence. Recent-

关键词： negatively associated random variables weak invariance principle.

Functional limit theorem for moving average processes generated by dependent random variables

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Progress in Natural Science:Materials International 2006年第3期16卷 266-273页

作者： lin Zhengyan and LI Degui (Department of mathematics, zhejiang university, hangzhou 310028, china) Department of mathematics Zhejiang University Hangzhou 310028 China

Let {Xt,t≥1} be a moving average process defined by , where {bj,j≥0} is a sequence of real num- bers and {ξt,-∞ 详细信息

Let {Xt,t≥1} be a moving average process defined by , where {bj,j≥0} is a sequence of real num- bers and {ξt,-∞linear process, we study asymptotics of (properly nor- malized). When {Xt,t≥1} is a long memory process, we establish a functional limit theorem. When {Xt,t≥1} is a linear process, we not only obtain the multi-dimensional weak convergence for {Xx,t≥1},but also weaken the moment condition on {ξt,-∞

关键词： functional limit theorem long memory process linear process moving average process φ-mixing.

SOME FUNCTIONAL LIMIT THEOREMS FOR THE INFINITE SERIES OF OU PROCESSES

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Chinese Annals of mathematics,Series B 2003年第2期24卷 249-260页

作者： WANG WENSHENG lin ZHENGYAN Department of mathematics, zhejiang university, hangzhou 310028, china. Department of mathematics, hangzhou Teacher’s College, hangzhou 310012, china. E-mail: wswang@*** Department of mathematics, zhejiang university, hangzhou 310028, china. Department of mathematics Zhejiang University Hangzhou 310028 China Department of mathematics Hangzhou Teacher's College Hangzhou 310012 China

This paper obtains functional modulus of continuity and Strassen's functional LIL of theinfinite series of independent Ornstein-Uhlenbeck processes, which also imply the Levy's exactmodulus of continuity and LIL of th... 详细信息

关键词： Ornstein-Uhlenbeck processes Stationary Gaussian processes Modulus of continuity Law of the iterated logarithm

Non-paraxial Elliptical Gaussian Beam

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Chinese Journal of Lasers 2001年第6期10卷 33-39页

作者： WANG Zhaoying lin Qiang NI Jie (Institute of Optics, Department of Physics, zhejiang university, hangzhou 310028, china) 浙江大学物理系光学所浙江杭州 310028

By using the methods of Hertz vector and angular spectrum transormation, the exact solution of non-paraxial elliptical Gaussion beam with general astigmatism based on Maxwell′s equations is obtained. We discussed its propagation characteristics. The results show that the orientation of the elliptical beam spot changes continuously as the beam propagates through isotropic media. Splitting or coupling of beam spots may occur for different initial spot size. This is very different from that of paraxial elliptical Gaussian beam.

关键词： non-paraxial elliptical Gaussian beam propagation

A Novel Photoproduct of Uracil in Phosphate-Buffered Saline

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Chinese Chemical Letters 2000年第8期11卷 679-680页

作者： Feng lin (Department of Chemistry, Xi-xi Campus, zhejiang university, hangzhou 310028) Department of Chemistry Xi-xi Campus Zhejiang University Hangzhou 310028 China

The photolysis of uracil in phosphate-buffered saline (PBS, pH 8.0) under the irradiation pf medium pressure mercury lamp (MPML) leads to the production of a novel compound C4H5N2O6P. The composition and structure of ... 详细信息

关键词： UV photolysis uracil phosphate-buffered saline (PBS)

THE ERDOS-RENYI LAWS OF LARGE NUMBERS FOR NON-IDENTICALLY DISTRIBUTED RANDOM VARIABLES

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Chinese Annals of mathematics,Series B 1990年第3期11卷 376-383页

作者：林正炎 Department of Methematics Hangzhou University

The Erdos-Renyi law of large numbers (1970) is the first important result forasymptotic behaviours of increments of partial sams of a sequence of random variableswith apan [ClogN]. Some generalizations have been done sinoe then, such as conver-gence rate of the limit, some results when order of span being either higher or lowerthan log N. But all these results are only obtained in the case of i. i. d. random *** paper aims at the generalization of these results to the ease when random variablesare independent, but not necessarily identically distributed. To this end Chernoff Theoremis generalized to the corlesponding case at first.

关键词： identically necessarily generalization relaxed 协万 apply enough 气石勺口刀 mutually

POLYMERIZATION OF γ-STEARYL-α,l-GLUTAMATE N-CARBOXYANHYDRIDE USING RARE EARTH COORDINATION CATALYSTS

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Chinese Journal of Polymer Science 2000年第4期18卷 369-372页

作者： Xiao-ping Hu Jian Wu Zhi-kang Xu lin-xian Feng Institute of Polymer Science, zhejiang university, hangzhou 310027, china Department of Chemistry, zhejiang university, hangzhou 310027, china 浙江大学浙江杭州

A rare earth coordination system was first investigated as a new type of catalyst for the ring-openingpolymerization of α-amino acid N-carboxyanhydrides (NCAs). The results for the polymerization of γ-stearyl-α,L-glutamate(SLG) NCA using neodymium acetylacetonate (Nd(acac)_3)- or neodymium tris(2-ethylhexylphosphonate) (Nd(P_(204))_3)-triethylaluminum-water as catalysts were compared with those using conventional catalysts. It was found that the helicalpoly(γ-stearyl-L-glutamate) with high molecular weight as well as narrow molecular weight distribution can be obtained inthe presence of Nd(acac)_3/AlEt_3-1/2H_2O. The polymer obtained was characterized by IR and NMR spectroscopy.

关键词： Rare earth coordination catalyst Ring-opening polymerization Polypeptide Poly(γ-stearyl-α,L-glutamate)

A Novel Photoproduct of 2-Methoxycytosine in Phosphate Solution Under Far UV Irradiation

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Chinese Chemical Letters 1999年第8期10卷 623-624页

作者： Feng lin Jin Long WU Xiao Wei FAN (Department of Chemistry, zhejiang university. hangzhou 310028) Department of Chemistry Zhejiang University Hangzhou 310028 China

Under the irradiation of medium pressure mercury lamp (MPML) the photolysis of 2-methoxycytosine (MAP) in phosphate solution leads to the production of a novel compound C5H8N3O5P. The composition and structure of the ... 详细信息

关键词： UV photolysis 2-methoxycytosine phosphate

Transport and deposition of nanoparticles in bend tube with circular cross-section

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Progress in Natural Science:Materials International 2009年第1期19卷 33-39页

作者： Peifeng lin a,Jianzhong lin a,b,a State Key Laboratory of Fluid Power Transmission and Control,zhejiang university,hangzhou 310027,china b china Jiliang university,hangzhou 310018,china State Key Laboratory of Fluid Power Transmission and Control Zhejiang University Hangzhou 310027 China china Jiliang university Hangzhou 310018 China

Transport and deposition of nanoparticles in bend tube with circular cross-section were simulated numerically for different Reynolds numbers and Dean numbers.A finite-volume code and the SIMPLE scheme were used to solve the *** results show that the distribution of nanoparticle concentration is symmetrical with respect to the top and bottom sides of the *** diameter of the nanoparticles has a weak effect on the distribution of nanoparticle *** maximum and minimum of the deposition enhancement factor occur near the outside and inside walls of the bend tube,*** higher the Reynolds number is,the shorter is the time for nanoparticle *** bend curvature radius has a slight effect on the deposition enhancement factor.

关键词： Nanoparticles Transport Deposition Numerical simulation