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Exact distribution of MLE of covariance matrix in a gMANOVA-MANOVA model

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Science china Mathematics 2005年第12期48卷 1597-1608页

作者： bai Peng Department of Statistics University of YunnanKunming 650091China

For a gMANOVA-MANOVA model with normal error: Y = XB1Z1 T +B2Z2 T+ E, E- Nq×n(0, In (?) ∑), the present paper is devoted to the study of distribution of MLE, ∑, of covariance matrix ∑. The main results obtained are stated as follows: (1) When rk(Z) -rk(Z2) ≥ q-rk(X), the exact distribution of ∑ is derived, where z = (Z1,Z2), rk(A) denotes the rank of matrix A. (2) The exact distribution of |∑| is gained. (3) It is proved that ntr{[S-1 - ∑-1XM(MTXT∑-1XM)-1MTXT∑-1]∑}has X2(q_rk(x))(n-rk(z2)) distribution, where M is the matrix whose columns are the standardized orthogonal eigenvectors corresponding to the nonzero eigenvalues of XT∑-1X.

关键词： gMANOVA-MANOVA model,MLE,distribution,hypergeometric function.

Two Efficient Parameterized Boundaries for Vee's Asian Option Pricing PDE

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Acta Mathematicae Applicatae Sinica 2012年第4期28卷 643-652页

作者： bai-min YU School of International Trade and Economics University of International Business and Economics

In this paper, we derive two general parameterized boundaries of finite difference scheme for VeSe~＇s PDE which is used to price both fixed and floating strike Asian options. Using these two boundaries, we can deal with all kinds of situations, especially, some extreme cases, like overhigh volatility, very small volatility, etc, under which the Asian option is usually mispriced in many existing numerical methods. Numerical results show that our boundaries are pretty efficient.

关键词： Asian option Vecer's PDE finite difference parameterized boundaries sensitivity

Effects of chlorine content and position of chlorinated phenols on their oxidation kinetics by potassium permanganate

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Journal of Environmental Sciences 2003年第3期15卷 342-345页

作者： ZHANgJin LIgui-bai SchoolofEnvironmentalScienceandEngineering DalianMaritimeUniversityDalian116012China.E-mail:dlhsh-zhj@*** SchoolofMunicipalandEnvironmentalEngineering HarbinInstituteofTechnologyHarbin150008China

chlorine content and position of chlorinated phenols have many significant effects on the reactivity of oxido-reduction. The effects of chlorine content and position of chlorinated phenols on their oxidation kinetics by potassium permanganate were evaluated through different kinetics studies. Since chlorine was an electron withdrawing atom, the substitution of chlorine on the aromatic ring decreased the oxidation rate constant by σ-electron withdrawing conductive effect. The substitution of chlorine at ortho or para position on the aromatic ring increased the oxidation rate constant by π-electron donating conjugative effect, and the conjugative effect could counteract the negative impact of the conductive effect to some extent. On the other hand, the substitution of chlorine at ortho position on the aromatic ring decreased the oxidation rate constant by steric hindrance effect. The oxidation rate constants of phenol and chlorinated phenols studied decreased as follow order: 4-chlorophenol>2,4-dichlorophenol>phenol>2,6-dichlorophenol.

关键词： oxidation kinetics phenol 4-chlorophenol 2,4-dichlorophenol 2,6-dichlorophenol potassium permanganate

On the Basis of Taiji Relativity

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chinese Physics Letters 1996年第5期13卷 321-324页

作者： Al Xiao-bai Institute of Nuclear Research Chinese Academy of SciencesShanghai 201800

In this letter author argues that the taiji relativity,which recently developed by Hsu et al.[***.A 196(1994)1],caji not be founded only upon Einstein's first postulate,the principle of *** fact it is still based on t... 详细信息

关键词： letter Einstein relativity

Xiamen after 20 Years of Ecological Transformation

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china Today 2025年第1期74卷 66-68页

作者： ZAcHARY g.LUNDQUIST 不详

The efforts Xiamen has made in ecological protection over the last 20 years have helped it become a beautiful and clean *** years ago,I had the opportunity to travel to the city of Xiamen in southeastern china’s Fujian ***,due to the fact that I was in a rush,I did not have the chance to see the whole *** memory of Xiamen was its pleasant climate and unforgettable beauty-I knew if I ever got the opportunity,I would revisit this *** years went by until I was able to return to this city *** emerging from the airport,I realized that I had grown older,while Xiamen was becoming increasingly youthful and *** exactly had given this city such vitality?

关键词： Ecological Xiamen Transformation

微社区治理共同体建设的内生性路径--居民精英的转译策略

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长白学刊 2025年第1期 117-130页

作者：白淑英王月哈尔滨工业大学社会科学学院黑龙江哈尔滨150000

微社区因具有地域相连、利益相关、规模适度特性更利于居民参与自治,是基层治理共同体建设的最佳空间载体,微社区治理共同体是最能体现社会治理共同体意涵的共同体形态。微社区治理共同体的形成过程是高度碎片化的业主围绕解决小区的物... 详细信息

微社区因具有地域相连、利益相关、规模适度特性更利于居民参与自治,是基层治理共同体建设的最佳空间载体,微社区治理共同体是最能体现社会治理共同体意涵的共同体形态。微社区治理共同体的形成过程是高度碎片化的业主围绕解决小区的物业服务、小区管理、自治等公共性问题而形成的出入相友、守望相助、互惠合作的治理行动网络的过程,其本质是小区异质行动者由分散走向协同的动态过程。研究内容:运用转译理论的分析框架,剖析居民精英在社区治理共同体建设中的路径。研究表明,居民精英通过问题的结构化、相关主体的利益界定、多元征召方式、网络的维持和再生产等转译策略促进了微社区治理行动者网络的形成。利益联结、情感流通和价值凝聚是微社区治理共同体建构的内在逻辑。微社区治理共同体将基层社会治理内容具体化和生活化,既满足了居民的内生性治理需求,又有助于提升社会治理成效。基于主体行动网络连接的微社区治理模式在一定程度上改变了基层治理中居民行动者参与社区治理的被动处境,有利于激活基层治理的内生性活力,使国家资源和市场机制更好地服务于基层治理实践。

关键词：微社区治理共同体居民精英行动者网络转译

A　STREAM-LINED　PROcEDURE　FOR　DETERMINATION　OF　STARcH,NON-STARcH　POLYSAccHARIDES　AND　FREE　SUgARS　IN　cEREALS

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chinese chemical Letters 1995年第9期6卷 791-794页

作者： Tian, FL bai, T gao, AS Saren, c choct, M Inner Mongolia Univ Dept Chem Hohhot 010021 Peoples R China cSIRO Div Human Nutr Food Carbohydrates Lab Melbourne Vic Australia

Abstract: A stream - lined assay has beem developed for the determination of monosaccharides and oligosaccharides (free sugars), starch,soluble and insoluble non-starch polysaccharides of cereals and cereal products on a one-sample basis. After extraction of the free sugars with 80% ethanol,the sample is extracted in acetate buffer(pH 5. 0)with highyspecific(α-amylase and amyloglucosidase to degrade the starch,at the same time the non-starch polysaccharides (NSP) are fractioned into soluble and insoluble fractions. An aliquot from the supernatant containing the glucose released from starch is taken and analysed for starch using a glucose - oxidase/peroxidase method. The free sugars, soluble and insolubleNSP are then hydrolysed with acids and the released monosaccharides are reduced and acetylated. The resulting alditol acetates are accurately quantified using gc fitted with a capillary column in addition to accurately quantifying each ofthe monosaccharide constituents of the NSP,the procedure also gives accuratevalues for starch and free sugars.

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Remarks on the Single-Photon Spectra from cERN-WA80

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chinese Physics Letters 1996年第9期13卷 656-659页

作者： AI Xiao-bai Institute of Nuclear Research Chinese Academy of SciencesShanghai 201800

In this letter the author points out that in recent WA80 data an apparent slope parameter of Texp≈180 MeV/c must not mean the fireball becoming equilibrated in whole at some temperatures throughout the stages of the *** author also demonstrates that Texp is merely a mean value of the temperatures of various high-energy photon sources,and predicts that for higher colliding energies(>200 A geV)the shape of the measured single-photon spectra would exhibit some concave curvature,which may be used as a probe for diagnosing quark-gluon plasma.

关键词： evolution curvature letter

AccELERATED SYMMETRIc ADMM AND ITS APPLIcATIONS IN LARgE-ScALE SIgNAL PROcESSINg

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Journal of computational Mathematics 2024年第6期42卷 1605-1626页

作者： Jianchao bai Ke guo Junli Liang Yang Jing H.c.So Research&Development Institute of Northwestern Polytechnical University in Shenzhen Shenzhen 518057China School of Mathematics and Statistics Northwestern Polytechnical UniversityXi’an 710129China Key Laboratory of Optimization Theory and Applications at china West Normal University of Sichuan Province School of Mathematics and InformationChina West Normal UniversityNanchong 637009China School of Electronics and Information Northwestern Polytechnical UniversityXi’an 710129China Department of Electrical Engineering City University of Hong KongHong KongSARChina

The alternating direction method of multipliers(ADMM)has been extensively investigated in the past decades for solving separable convex optimization problems,and surprisingly,it also performs efficiently for nonconvex *** this paper,we propose a symmetric ADMM based on acceleration techniques for a family of potentially nonsmooth and nonconvex programming problems with equality constraints,where the dual variables are updated twice with different *** proper assumptions instead of the socalled Kurdyka-Lojasiewicz inequality,convergence of the proposed algorithm as well as its pointwise iteration-complexity are analyzed in terms of the corresponding augmented Lagrangian function and the primal-dual residuals,*** of our algorithm is verified by numerical examples corresponding to signal processing applications in sparse nonconvex/convex regularized minimization.

关键词： Nonconvex optimization Symmetric ADMM Acceleration technique complexity Signal processing