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Asymptotic normality and strong consistency of maximum quasi-likelihood estimates in generalized linear models

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science china mathematics 2006年第2期49卷 145-157页

作者： YIN Changming, ZHAO Lincheng & WEI Chengdong school of mathematics and Information science, guangxi University, Manning 530004, china department of statistics and Finance, University of science and Technology of china, Hefei 230026, china department of mathematics, guangxi teacher college, Manning 530001, china 1. school of mathematics and Information science Guangxi University Nanning 530004 China 2. department of statistics and Finance University of Science and Technology of China Hefei 230026 China 3. department of mathematics Guangxi Teacher College Nanning 530001 China

In a generalized linear model with q x 1 responses, the bounded and fixed (or adaptive) p × q regressors Zi and the general link function, under the most general assumption on the minimum eigenvalue of ZiZ'i,the moment condition on responses as weak as possible and the other mild regular conditions, we prove that the maximum quasi-likelihood estimates for the regression parameter vector are asymptotically normal and strongly consistent.

关键词： generalized linear models quasi-likelihood estimates asymptotic normality strong consistency.

NECEssARY AND sUFFICIENT CONDITION OF THE sTRONG CONVERGENCE FOR TWO FINITE FAMILIEs OF UNIFORMLY L-LIPsCHITZIAN MAPPINGs

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Acta Mathematica scientia 2011年第5期31卷 2058-2066页

作者：谷峰 Institute of Applied mathematics and department of mathematics Hangzhou teacher's college

The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Bana... 详细信息

关键词： asymptotically pseudo-contractive mapping uniformly L-Lipschitzian map- ping parallel iterative algorithm

Fuzzy controllers based on some fuzzy implication operators and their response functions

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Progress in Natural science:Materials International 2004年第1期14卷 16-21页

作者： LI Hongxing 1*, YOU Fei 1 and PENG Jiayin 2(1. department of mathematics, Beijing Normal University, Beijing 100875, china 2. department of mathematics, Neijiang teacher's college, Neijiang 641112, china) Beijing Normal Univ Dept Math Beijing 100875 Peoples R China

The fuzzy controllers constructed by 23 fuzzy implication operators based on CRI algorithm and their response functions are discussed. The conclusions show that the fuzzy controllers constructed by 9 fuzzy implication operators are universal approximators to continuous functions and can be used in practical fuzzy control systems. And these 9 fuzzy implication operators except for Einstein operator intersection are all the adjoint pairs of some fuzzy implication operators. Besides, there are 3 other fuzzy controllers formed by fuzzy implication operators being regarded approximately as fitted functions.

关键词： fuzzy implication operators CRI algorithm fuzzy controllers response functions universal approximators

Multiwavelet sampling theorem in sobolev spaces

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science china mathematics 2010年第12期53卷 3197-3214页

作者： LI YouFa 1,2 & YANG shouZhi 1, 1 department of mathematics, shantou University, shantou 515063, china 2 college of mathematics and Information sciences, guangxi University, nanning 530004, china 1. department of mathematics Shantou University Shantou 515063 China2. College of Mathematics and Information Sciences Guangxi University Nanning 530004 China

This paper is to establish the multiwavelet sampling theorem in sobolev spaces. sampling theorem plays a very important role in digital signal communication. The most classical sampling theorem is shannon sampling theorem, which works for bandlimited signals. Recently, sampling theorems in wavelets or multiwavelets subspaces are extensively studied in the literature. In this paper, we firstly propose the concept of dual multiwavelet frames in dual sobolev spaces (H s (R) , H-s (R)). Then we construct a special class of dual multiwavelet frames, from which the multiwavelet sampling theorem in sobolev spaces is obtained. That is, for any f ∈ H s (R) with s > 1/2, it can be exactly recovered by its samples. Especially, the sampling theorem works for continuous signals in L 2 (R), whose sobolev exponents are greater than 1 /2.

关键词： sobolev spaces refinable function vectors dual multiwavelet frames delta function sampling theorem

Irisin-loaded electrospun core-shell nanofibers as calvarial periosteum accelerate vascularized bone regeneration by activating the mitochondrial sIRT3 pathway

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Regenerative Biomaterials 2024年第1期3卷 44-57页

作者： Xi Hua Mingzhuang Hou Lei Deng nanning Lv Yong Xu Xuesong Zhu Huilin Yang Qin shi Hao Liu Fan He department of Orthopaedics The First Affiliated Hospital of Soochow UniversitySoochow UniversitySuzhou 215006China Orthopaedic Institute Suzhou Medical CollegeSoochow UniversitySuzhou 215000China department of Orthopedics Suzhou Wuzhong People’s HospitalSuzhouJiangsu Province 215128China department of Orthopedic surgery Lianyungang Clinical College of Xuzhou Medical UniversityLianyungang 222003China

The scarcity of native periosteum poses a significant clinical barrier in the repair of critical-sized bone *** challenge of enhancing regenerative potential in bone healing is further compounded by oxidative stress at the fracture ***,the introduction of artificial periosteum has demonstrated its ability to promote bone regeneration through the provision of appropriate mechanical support and controlled release of proosteogenic *** this study,a poly(L-lactic acid)(PLLA)/hyaluronic acid(HA)-based nanofibrous membrane was fabricated using the coaxial electrospinning *** incorporation of irisin into the core-shell structure of PLLA/HA nanofibers(PLLA/HA@Irisin)achieved its sustained *** vitro experiments demonstrated that the PLLA/HA@Irisin membranes exhibited favorable *** osteogenic differentiation of bone marrow mesenchymal stem cells(BMMsCs)was improved by PLLA/HA@Irisin,as evidenced by a significant increase in alkaline phosphatase activity and matrix ***,PLLA/HA@Irisin significantly enhanced the mitochondrial function of BMMsCs via the activation of the sirtuin 3 antioxidant *** assess the therapeutic effectiveness,PLLA/HA@Irisin membranes were implanted in situ into critical-sized calvarial defects in *** results at 4 and 8 weeks post-surgery indicated that the implantation of PLLA/HA@Irisin exhibited superior efficacy in promoting vascularized bone formation,as demonstrated by the enhancement of bone matrix synthesis and the development of new blood *** results of our study indicate that the electrospun PLLA/HA@Irisin nanofibers possess characteristics of a biomimetic periosteum,showing potential for effectively treating critical-sized bone defects by improving the mitochondrial function and maintaining redox homeostasis of BMMsCs.

关键词： periosteum irisin mitochondrial function critical-sized bone defect redox homeostasis

DEGENERATED HOMOCLINIC BIFURCATIONs WITH HIGHER DIMENsIONs

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Chinese Annals of mathematics,series B 2000年第2期21卷 201-210页

作者： JINYINLAI ZHUDEMINC departmentofmathematics EastChinaNormalUniversityShanghai200062China. departmentofmathematics LinyiTeacherCollegeLinyi276005ShandongChina.

The degenerated homoclinic bifurcation for high dimensional system is considered. The existence, uniqueness, and incoexistence of the 1-homclinic orbit and 1-periodic orbit near　Г are studied under the nonresonant c... 详细信息

关键词： Local coordinates Poincare map Homoclinic orbit Periodic orbit 2-fold periodic orbit Resonant condition

Finite Dimension of Global Attractor of Nonlinear strain Waves in Elastic Waveguides

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Communications in Nonlinear science and Numerical simulation 1998年第3期3卷 173-176页

作者： Dacai MA and Murong JIANG(department of mathematics, shangrao teacher’s college, shangrao 334000,china)(department of mathematics, Yunnan University, Kunming 650091, china)E-mail: jemail@*** department of mathematics Shangrao Teacher's College Shangrao 334000 China department of mathematics Yunnan University Kunming 650091 China

Consider herein are the finite dimension of global attractor of nonlinearstrain waves in elastic waveguides. By constructing two appropriate bounded coerciveguadratic forms and analysis of evolution of volume in E1 sp... 详细信息

关键词： strain wave attractor Hausdorff and fractal dimensions

K-spaces Property of Product spaces

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Acta Mathematica sinica,English series 1997年第4期13卷 537-544页

作者： Liu Chuan Lin shou department of mathematics, guangxi University, nanning 530004, china department of mathematics, Ningde teachers college, Fujian 352100, china 广西大学数学系广西南宁宁德师范学院数学系福建宁德 352100

Let K be a class of spaces which are eigher a pseudo-open s-image of a metric space or a k-space having a compact-countable closed k-network. Let K′ be a class of spaces which are either a Fréchet space with a point-countable k-network or a point-G_δ k-space having a compact-countable k-network. In this paper, we obtain some sufficient and necessary conditions that the products of finitely or countably many spaces in the class K or K′ are a k-space. The main results are that Theorem A If X, Y ∈ K. Then X x Y is a k-space if and only if (X, Y) has the Tanaka’s condition. Theorem B The following are equivalent: (a) BF(w2) is false. (b) For each X, Y ∈ K′, X x Y is a k-space if and only if (X, Y) has the Tanaka’s condition.

关键词： K--space K--network Weak base Product space BF(ω2) Tanaka’s condition

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. Zhejiang Univ Dept Math Hangzhou 310028 Peoples R China Hangzhou teachers Coll Dept Math Hangzhou 310012 Peoples R 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