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Empirical Likelihood Inference for the Semiparametric Varying-Coefficient Spatial Autoregressive Model

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Journal of Systems Science & Complexity 2021年第6期34卷 2310-2333页

作者： LUO Guowang wu Mixia PANG zhen College of Big Data Statistics Guizhou University of Finance and EconomicsGuiyang 550025China College of Statistics and Data Science Faculty of ScienceBeijing University of TechnologyBeijing 100124China Department of Applied Mathematics Hong Kong Polytechnic UniversityHong KongChina

In this paper empirical likelihood(EL)-based inference for a semiparametric varyingcoefficient spatial autoregressive model is *** maximum EL estimators for the parametric component and the nonparametric component are ***,asymptotic properties of the proposed estimators and EL ratios are derived,and the corresponding confidence regions/bands are *** finite sample performances are studied via simulation and an example.

关键词： Confidence regions empirical likelihood instrumental variable residual-adjusted Wilks theorem

Regioselective introduction of vinyl trifluoromethylthioether to remote unactivated C(sp^3)–H bonds via radical translocation cascade

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Science China Chemistry 2019年第11期62卷 1507-1511页

作者： Shuo wu Xinxin wu zhen wu Chen Zhu Key Laboratory of Organic Synthesis of Jiangsu Province College of ChemistryChemical Engineering and Materials ScienceSoochow UniversityJiangsu 215123China Key Laboratory of Synthetic Chemistry of Natural Substances Shanghai Institute of Organic ChemistryShanghai 200032China

Described herein is an efficient protocol for the regioselective introduction of a vinyl trifluoromethylthioether to remote unactivated C(sp3)–H *** cascade process involves the vinyl radical-mediated 1,5-hydrogen atom transfer(HAT)and remote vinyl *** the transformation,inert C–H and C–C bonds are consecutively cleaved under mild *** reaction features good functional group tolerance,broad substrate scope,and high regio-/stereo-selectivity.

关键词： C–H functionalization hydrogen atom transfer vinyl migration vinyl radical trifluoromethylthio radical

Puerarin Up-regulates Methyl-CpG Binding Protein 2 Phosphorylation in Hippocampus of Vascular Dementia Rats

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Chinese Journal of Integrative Medicine 2018年第5期24卷 372-377页

作者： WANG Hu-qing ZHANG Meng ZHAO Jia-xin wu Hai-qin GAO zhen ZHANG Gui-lian ZHANG ru Department of Neurology the Second Affiliated Hospital of Xi'anJiaotong University Xi'an (710004) China

Objective: To observe the effect of puerarin on methyl-CpG binding protein 2(MeCP2) phosphorylation(pMeCP2) in the hippocampus of a rat model of vascular dementia(VD). Methods: Thirty-six healthy Sprague-Dawley rats were randomly assigned to the sham-operated group, dementia group and puerarintreated group using a random number table(n=12 per group). The modified permanent bilateral common carotid artery occlusion method was used to establish the VD model. The sham-operated and dementia groups were given 2 m L/d of saline, while the puerarin-treated group was given 100 mg/(kg·d) of puerarin for 17 days. The learning and memory abilities were evaluated by the Morris water maze test. Hematoxylin-eosin staining, immunohistochemical(IHC) staining and Western blot analysis were carried out to observe changes in neuron morphology and in level of pMeCP2 in the hippocampus, respectively. Results: The morphologies of rat hippocampal neurons in the puerarintreated group were markedly improved compared with the dementia group. The escape latency of the dementia group was significantly longer than the sham-operated group(P0.05). The number of pMeCP2 positive cells in the CA1 region of hippocampus in the dementia group was significantly increased compared with the sham-operated group, and the puerarin-treated group was significantly increased compared with the dementia group(both P0.05). The expression of pMeCP2 in the dementia group was significantly increased compared wit

关键词： vascular dementia puerarin methyl-CpG binding protein 2 phosphorylation

Stochastic Maximum Principle for Forward-Backward Regime Switching Jump Diffusion Systems and Applications to Finance

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Chinese Annals of Mathematics,Series B 2018年第5期39卷 773-790页

作者： Siyu LV zhen wu School of Mathematics Southeast UniversityNanjing 211189China School of Mathematics Shandong UniversityJinan 250100China

The authors prove a sufficient stochastic maximum principle for the optimal control of a forward-backward Markov regime switching jump diffusion system and show its connection to dynamic programming principle. The result is applied to a cash flow valuation problem with terminal wealth constraint in a financial market. An explicit optimal strategy is obtained in this example.

关键词： Stochastic maximum principle Dynamic programming principle Forward-backward stochastic differential equation Regime switching Jump diffusion

A THEORETICAL MODEL FOR THERMAL-SENSITIVE MICROGEL WITH PNIPAM CORE AND ELASTIC SHELL

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Acta Mechanica Solida Sinica 2012年第5期25卷 520-529页

作者： zhen wu zheng Zhong School of Aerospace Engineering and Applied Mechanics Tongji Universityshanghai 200092China

Poly （N-isopropylacrylamide）（PNIPAM） microgels are widely used in drug delivery due to their fast response to temperature. In order to get a better biocompatibility, PNIPAM mi- crogels are typically coated with a layer of biocompatible material, resulting in composite microgels with core-shell structure. In a composite microgel prepared recently, for example, a microsphere of PNIPAM gel is enclosed by a phospholipid membrane, and the composite microgel exhibits a substantial volume transition in response to temperature changes. Here we develop a theoretical model to describe the thermal-responsive behavior of this composite microgel. In particular, we treat the phospholipid membrane as an elastic layer behaving like rubber-like elastomers and adopt the form of the free-energy function for nematic gels （which refer to anther species of thermal- sensitive gels whose behavior has been intensively studied） as that for PNIPAM gels. We show that the thermal-responsive behavior of the composite microgel can be markedly influenced by the membrane. By investigating the state of stress on the interface, we further predict that when the coating membrane is stiff and thin, wrinkles are expected to occur on the outer surface of the composite microgel after the volume transition.

关键词： gel poly (N-isopropylacrylamide) volume transition core-shell structure

A Comparison Theorem and Uniqueness Theorem of Backward Doubly Stochastic Differential Equations

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Acta Mathematicae Applicatae Sinica 2011年第2期27卷 223-232页

作者： Qian Lin zhen wu School of Mathematics Shandong University Jinan 250100 China Laboratoire de Mathematiques CNRS UMR 6205 Universite de Bretagne Occidentale 6 avenue Victor Le Gorgeu CS 93837 29238 Brest cedex 3 France

In this paper, we deal with one dimensional backward doubly stochastic differential equations （BDSDEs）. We obtain a comparison theorem and a uniqueness theorem for BDSDEs with continuous coefficients.

关键词： backward doubly stochastic differential equations comparison theorem backward stochastic integral uniqueness theorem

Mean-variance portfolio selection with discontinuous prices and random horizon in an incomplete market

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Science China(Information Sciences) 2020年第7期63卷 245-247页

作者： Haiyang WANG zhen wu School of Mathematics and Statistics Shandong Normal University School of Mathematics Shandong University

Dear editor,The study of mean-variance portfolio selection problems began with a single-period setting by Markowitz [1]. Then, inspired by Li and Ng [2],Zhou [3] first introduced a linearly constrained linear quadratic (LQ) control approach to solve this type of problem with deterministic market parameters. Along this line, Lim [4] generalized the results in [3] to a case with random parameters in an incomplete market.

关键词： Random horizon Doubly Poisson process Backward stochastic differential equations Linear-quadratic optimal control Mean-variance portfolio selection, Doubly Poisson process

Bending Stiffness of Concrete-Filled Steel Tube and Its Influence on Concrete Placement Timing of Composite Beam-String Structure

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Structural Durability & Health Monitoring 2025年第1期19卷 55-75页

作者： zhenyu Zhang Quan Jin Haitao Zhang Zhao Liu Yuyang wu Longfei Zhang Renzhang Yan CCCC Third Highway Engineering Co. Ltd.Beijing101300China School of Civil Engineering Chongqing Jiaotong UniversityChongqing400074China

When the upper chord beam of the beam-string structure(BSS)is made of concrete-filled steel tube(CFST),its overall stiffness will change greatly with the construction of concrete placement,which will have an impact on the design of the tensioning plans and selection of control measures for the *** order to accurately obtain the bending stiffness of CFST beam and clarify its impact on the mechanical properties of composite BSS during construction,the influence of some factors such as height-width ratio,wall thickness of steel tube,elasticity modulus of concrete,and friction coefficient on the bending stiffness are analyzed parametrically by the numerical simulation technology based on an actual *** calculation formula of the equivalent bending stiffness of CFST is also established through mathematical statistical ***,the equivalent bending stiffness is introduced into the construction and use stages of the composite BSS,respectively,and the mechanical properties such as prestress-tensioning control value,structural deformation,and internal force of key members are comparatively analyzed when adopting two different construction ***,the optimal construction plan of concrete placement first and then prestress-tensioning is proposed.

关键词： Concrete panels freeze-thaw damage compression-shear crack tension-shear crack

A Type of General Forward-Backward Stochastic Differential Equations and Applications

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Chinese Annals of Mathematics,Series B 2011年第2期32卷 279-292页

作者： Li CHEN zhen wu Department of Mathematics China University of Mining and Technology Beijing 100083 China Corresponding author. School of Mathematics Shandong University Jinan 250100 China

The authors discuss one type of general forward-backward stochastic differential equations (FBSDEs) with Ito's stochastic delayed equations as the forward equations and anticipated backward stochastic differential equations as the backward *** existence and uniqueness results of the general FBSDEs are *** the framework of the general FBSDEs in this paper,the explicit form of the optimal control for linear-quadratic stochastic optimal control problem with delay and the Nash equilibrium point for nonzero sum differential games problem with delay are obtained.

关键词： Stochastic delayed differential equations Anticipated backward stochastic differential equations Forward-backward stochastic differential equations Linear-quadratic stochastic optimal control with delay Nonzero sum stochastic differential game with delay