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Optimal mixed-level supersaturated design with general number of runs

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Optimal mixed-level supersaturated design with general numbe...

MAXIMUM INFORMATION AND OPTIMUM ESTIMATING FUNCTION

2007均匀试验设计学术交流会

作者： Jie Chen,Min-Qian Liu department of statistics,school of mathematical sciences and lpmc,nankai university,tianjin 300071,china

Supersaturated design has received much interest because of its potentialin factor screening *** studies mainly focused on *** paper considers supersaturated designs with general numbersof *** lower bounds of theχ2 proposed by Yamada and Lin(1999)andE(fNOD)proposed by Fang,Lin and Liu(2003b)are obtained along with thesu?cient and necessary conditions for achieving them ***-more some construction methods for mixed-level supersaturated designs withgeneral number of runs are proposed.

关键词： Balanced design Coincidence number Orthogonal array Super-saturated design

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Chinese Annals of Mathematics,Series B 2003年第3期24卷 349-358页

作者： LIN Lu department of statistics, school of mathematical sciences, nankai university, tianjin 300071, china. nankai Univ Sch Math Sci Dept Stat Tianjin 300071 Peoples R China

In order to construct estimating functions in some parametric models, this paper introducestwo classes of information matrices. Some necessary and sufficient conditions for the informationmatrices achieving their upper bounds are given. For the problem of estimating the median,some optimum estimating functions based on the information matrices are acquired. Undersome regularity conditions, an approach to carrying out the best basis function is introduced. Innonlinear regression models, an optimum estimating function based on the information matricesis obtained. Some examples are given to illustrate the results. Finally, the concept of optimumestimating function and the methods of constructing optimum estimating function are developedin more general statistical models.

关键词： Quasi (pseudo) Fisher information Estimating function Quasi score Nonlinear regression model Median regression model

On isometric extension problem between two unit spheres

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Science china Mathematics 2009年第10期52卷 2069-2083页

作者： Ding GuangGui school of mathematical sciences and lpmc, nankai university, tianjin 300071, china 1. school of mathematical sciences and lpmc Nankai University Tianjin 300071 China

In this paper we introduce the isometric extension problem of isometric mappings between two unit spheres. Some important results of the related problems are outlined and the recent progress is mentioned.

关键词： normed space isometric extension isometric mapping 1-Lipschitz mapping 46A22 46B02 46B04 46B20 46B22

Brake subharmonic solutions of first order Hamiltonian systems

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Science china Mathematics 2010年第10期53卷 2719-2732页

作者： LI Chong & LIU ChunGen school of mathematical sciences and lpmc,nankai university,tianjin 300071,china 1. school of mathematical sciences and lpmc Nankai University Tianjin 300071 China

In this paper,we mainly use the Galerkin approximation method and the iteration inequalities of the L-Maslov type index theory to study the properties of brake subharmonic solutions for the first order non-autonomous Hamiltonian *** prove that when the positive integers j and k satisfy the certain conditions,there exists a jT-periodic nonconstant brake solution zj such that zj and zkj are distinct.

关键词： brake subharmonic solution L-Maslov type index Hamiltonian systems

A Four-filtrated May Spectral Sequence and Its Applications

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Acta Mathematica Sinica,English Series 2008年第9期24卷 1507-1524页

作者： Xiu Gui LIU Xiang Jun WANG school of mathematical sciences and lpmc,nankai university,tianjin 300071,P.R.china school of mathematical sciences and lpmc Nankai University Tianjin 300071 P. R. China

In this paper, we introduce a four-filtrated version of the May spectral sequence (MSS), from which we study the general properties of the spectral sequence and give a collapse theorem. We also give an efficient method to detect generators of May E 1-term E 1 s,t,b,* for a given (s, t, b, *). As an application, we give a method to prove the non-triviality of some compositions of the known homotopy elements in the classical Adams spectral sequence (ASS).

关键词： stable homotopy groups of spheres Adams spectral sequence May spectral sequence

Totally geodesic submanifolds of maximal rank in symmetric spaces

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Science china Mathematics 2004年第2期47卷 264-271页

作者： ZHU Fuhai & LIANG Keschool of mathematical sciences and LMAM, Peking university, Beijing 100871, china College of mathematical sciences and lpmc, nankai university, tianjin 300071, china 1.school of mathematical sciences and LMAM Peking University 100871 Beijing China 2.College of Mathematical Sciences and LPMC Nankai University 300071 Tianjin China

We gave a complete list of totally geodesic submanifolds of maximal rank in symmetric spaces of noncompact type. The compact cases can be obtained by the duality.

关键词： totally geodesic submanifold, Lie triple system, maximal rank.

Stochastic Fractional Anderson Models with Fractional Noises

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Chinese Annals of Mathematics,Series B 2010年第1期31卷 101-118页

作者： Yiming JIANG Kehua SHI Yongjin WANG school of mathematical sciences and lpmc Nankai University Tianjin 300071 China school of mathematical sciences and lpmc Nankai University Tianjin 300071 China

The authors are concerned with a class of one-dimensional stochastic Anderson models with double-parameter fractional noises, whose differential operators are fractional. A unique solution for the model in some appropriate Hilbert space is constructed. Moreover, the Lyapunov exponent of the solution is estimated, and its HSlder continuity is studied. On the other hand, the absolute continuity of the solution is also discussed.

关键词： Anderson models Fractional noises Lyapunov exponent Holder continuity Absolute continuity

THE JOINT DISTRIBUTIONS OF SOME ACTUARIAL DIAGNOSTICS FOR THE JUMP-DIFFUSION RISK PROCESS

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Acta Mathematica Scientia 2010年第3期30卷 664-676页

作者：吕玉华吴荣徐润 department of Mathematics Qufu Normal University school of Mathematics sciences and lpmc Nankai University

In this article, the joint distributions of several actuarial diagnostics which are important to insurers＇ running for the jump-diffusion risk process are examined. They include the ruin time, the time of the surplus process leaving zero ultimately （simply, the ultimately leaving-time）, the surplus immediately prior to ruin, the supreme profits before ruin, the supreme profits and deficit until it leaves zero ultimately and so on. The explicit expressions for their distributions are obtained mainly by the various properties of Levy process, such as the homogeneous strong Markov property and the spatial homogeneity property etc, moveover, the many properties for Brownian motion.

关键词： Jump-diffusion risk process Brownian motion time of ruin ultimately leaving-time homogeneous strong Markov property

SOME RESULTS ON INFINITE DIMENSIONAL NOVIKOV ALGEBRAS

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Chinese Annals of Mathematics,Series B 2003年第3期24卷 309-314页

作者： ZHAO YUFENG MENG DAOJI department of Mathematics, nankai university, tianjin 300071, china. department of Mathematics, nankai university, tianjin 300071, china. nankai Univ Dept Math Tianjin 300071 Peoples R China

This paper gives some sufficient conditions for determining the simplicity of infinite di-mensional Novikov algebras of characteristic 0, and also constructs a class of simple Novikovalgebras by extending the base fie... 详细信息

关键词： Novikov algebra Novikov-Poisson Algebra Algebraic deformation