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The Moment Convergence Rates for Largest Eigenvalues of β Ensembles

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Acta Mathematica Sinica,English Series 2013年第3期29卷 477-488页

作者： jun shan XIE Department of Mathematics Zhejiang University College of Mathematics and Information He’nan University

The paper focuses on the largest eigenvalues of theβ-Hermite ensemble and theβ-Laguerre ensemble. In particular, we obtain the precise moment convergence rates of their largest eigenvalues. The results are motivated by the complete convergence for partial sums of i.i.d, random variables, and the proofs depend on the small deviations for largest eigenvalues of the β ensembles and tail inequalities of the generalβ Tracy-Widom law.

关键词： β Ensembles largest eigenvalue moment convergence rate generalβ Tracy-Widom law

REGIONAL CONTAINER PORT COMPETITION IN A DUAL GATEWAY-PORT SYSTEM

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Journal of Systems Science and Systems Engineering 2016年第4期25卷 491-514页

作者： Mingzhu Yu jun shan Lijun Ma Department of Transportation Engineering College of Civil Engineering Shenzhen University Shenzhen Guangdong 518060 China School of Management Jinan University Guangzhou Guangdong 510632 China Department of Management Science College of Management Shenzhen University Shenzhen Guangdong 518060 China

Many ocean transportation hub systems consist of two container ports that share the container handling business in the area. The container flow passing through a port is the main measurement of the port＇s competitiveness. In this paper we adopt a Hotelling model to study the container port competition in a so-called ＂dual gateway-port system＂. The system contains two ports and two terminals, one belonging to each port. The two governments in which the two ports are located compete on cargo fees and the two terminals determine service price and service quality. We study two models with different levels of competition between the terminals. In the ftrst model, the two terminals are owned by two different operators and in the second model, the two terminals are centralized under one operator. The second model exists in practice but is not well studied in the literature. We derive the cargo fee, terminal service price, and service quality equilibria for these two models. We investigate the competition outcome sensitivity with a numerical study. The numerical results reveal that governments prefer terminals to compete with each other. If the terminals do not have competitive advantages in their service quality, then terminal centralization brings more profits to the terminal operator than the competition case.

关键词： Container port competition container terminal competition Hotelling model

Comparison of nonclassicality between photon-added and photon-subtracted squeezed vacuum states

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Chinese Physics B 2012年第2期21卷 301-308页

作者： Ma shan-jun Luo Wen-Wei College of Physics and Communication Electronics Jiangxi Normal UniversityNanchang 330022China

In this paper, we introduce photon-added and photon-subtracted squeezed vacuum state （PASV and PSSV） and obtain their normalized factors, which have the similar forms involved in Lengendre polynomials. Moreover, we give the compact expressions of Wigner function, which are related to single-variable Hermite polynomials. Especially, we compare their nonclassicality in terms of Mandel Q-factor and the negativity of Wigner function.

关键词： photon-added and photon-subtracted squeezed vacuum state nonclassicality Wigner function

High-Order Hamilton's Principle and the Hamilton's Principle of High-Order Lagrangian Function

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Communications in Theoretical Physics 2008年第2期49卷 297-302页

作者： ZHAO Hong-Xia MA shan-jun College of Physics and Communication Electronics Jiangxi Normal University Nanchang 330022 China

In this paper, based on the theorem of the high-order velocity energy, integration and variation principle, the high-order Hamilton＇s principle of general holonomic systems is given. Then, three-order Lagrangian equations and four-order Lagrangian equations are obtained from the high-order Hamilton＇s principle. Finally, the Hamilton＇s principle of high-order Lagrangian function is given.

关键词： Hamilton's principle high-order velocity energy integration and variation principle Lagrangian function

A Kind of Atomic Coherent State as a Two-Mode Squeezed State

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Communications in Theoretical Physics 2009年第9期52卷 511-516页

作者： MA shan-jun WANG Shu-Jing College of Physics and Communication Electronics Jiangxi Normal University Nanchang 330022 China

We find that a kind of atomic coherent state, formed as exp[ ξJ＋-ξJ-]｜00〉,when the SU（2） generators J± are taken as Fan＇s form J＋=（1/2）（α1-α2）（α1-α2）,J-=（1/2）（α1＋α2）（α1＋α2）,and J0=（1/2）（α1α2-α1α2）,is simultaneously a two-mode squeezed state. We analyse this squeezed state＇s physical properites, such as the cross- correlation function, the Wigner function, and its marginal distribution as well as the Husimi function.

关键词： exponential operator cross-correlation function Wigner function Husimi function

Likelihood Ratio Inference for Mean Residual Life of Length-biased Random Variable

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Acta Mathematicae Applicatae Sinica 2016年第2期32卷 269-282页

作者： Wei LIANG jun-shan SHEN Shu-yuan HE School of Mathematical Sciences Xiamen University School of Mathematical Sciences Peking University School of Mathematical Sciences Capital Normal University

In lifetime data analysis, naturally recorded observations are length-biased data if the probability to select an item is proportional to its length. Based on i.i.d, observations of the true distribution, empirical likelihood （EL） procedure is proposed for the inference on mean residual life （MRL） of naturally recorded item. The limit distribution of the EL based log-likelihood ratio is proved to be the chi-square distribution. Under right censorship, since the EL based log-likelihood ratio leads to a scaled chi-square distribution and estimating the scale parameter leads to lower coverage of confidence interval, we propose an algorithm to calculate the likelihood ratio （LR） directly. The corresponding log-likelihood ratio converges to the standard chi-square distribution and the corresponding confidence interval has a better coverage. Simulation studies are used to support the theoretical results.

关键词： likelihood ratio length bias mean residual life right censoring

Semiparametric Bayesian Inference for Mean-Covariance Regression Models

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Acta Mathematica Sinica,English Series 2017年第6期33卷 748-760页

作者： Han jun YU jun shan SHEN Zhao Nan LI Xiang Zhong FANG School of Mathematical Sciences Peking University School of Statistics Capital University of Economics and Business

In this paper, we propose a Bayesian semiparametric mean-covariance regression model with known covariance structures. A mixture model is used to describe the potential non-normal distribution of the regression errors. Moreover, an empirical likelihood adjusted mixture of Dirichlet process model is constructed to produce distributions with given mean and variance constraints. We illustrate through simulation studies that the proposed method provides better estimations in some non-normal cases. We also demonstrate the implementation of our method by analyzing the data set from a sleep deprivation study.

关键词： Clustered data Dirichlet process empirical likelihood moment constraints nonparamet-ric Bayes

Parametric study on the Multangular-Pyramid Concave Friction System (MPCFS) for seismic isolation

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Frontiers of Structural and Civil Engineering 2020年第5期14卷 1152-1165页

作者： Wei XIONG shan-jun ZHANG Li-Zhong JIANG Yao-Zhuang LI School of Civil Engineering Central South UniversityChangsha 410075China

A series of comprehensive parametric studies are conducted on a steel-frame structure Finite-Element(FE)model with the Multangular-Pyramid Concave Friction System(MPCFS)installed as *** new introduced MPCFS system has some distinctive features when compared with conventional isolation techniques,such as increased uplift stability,improved self-centering capacity,non-resonance when subjected to near-fault earthquakes,and so *** FE model of the MPCFS is first established and evaluated by comparison between numerical and theoretical *** MPCFS FE model is then incorporated in a steel-frame structural model,which is subjected to three chosen earthquakes,to verify its seismic ***,parametric study with varying controlling parameters,such as isolation foundation,inclination angle,friction coefficient,and earthquake input,is carried out to extract more detailed dynamic response of the MPCFS ***,limitations of this study are discussed,and conclusions are *** simulations testify the significant seismic isolation of the *** indicates the MPCFS,viewed as the beneficial complementary of the existing well-established and matured isolation techniques,may be a promising tool for seismic isolation of near-fault earthquake prone *** verified MPCFS FE model can be incorporated in future FE *** results in this research can also guide future optimal parameter design of the MPCFS.

关键词： seismic isolation variable frequency near-fault earthquake numerical study Multangular-Pyramid Concave Friction System

Air concentration distribution in the impact zone of spillway aerator

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Journal of Hydrodynamics 2022年第1期34卷 156-161页

作者： Rui-di Bai Fa-xing Zhang Wei Wang shan-jun Liu State Key Laboratory of Hydraulics and Mountain River Engineering Sichuan UniversityChengdu610065China

The chute aerators separate the flow from the chute bottom,and the violent turbulence is generated after the flow impacts the *** the chute aerators were widely investigated experimentally,the air concentration distribution of the lower jet in the impact zone remains to be explored *** the impact zone,it is observed that a portion of the air stays in the rollers instead of traveling with the flow,decreasing the air transportation *** on extensive tests,a comprehensive formula is developed to compute the air concentration distribution in the impact zone,with results in good agreement with the model tests.

关键词： Chute aerator impact zone air concentration cavity length experimental data