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Complete Moment Convergence for Sequence of Identically Distributed φ-mixing Random Variables

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Acta Mathematica Sinica,English Series 2010年第4期26卷 679-690页

作者： Ping Yan CHEN ding cheng WANG Department of Mathematics Ji'nan University Guangzhou 510630 P. R. China Center of Financial Mathematics MSI Australian National UniversityCanberra Act 0200 Australia School of Applied Mathematics University of Electronic Science and Technology of China Chengdu 610054 P. R. China

In the paper we extend and generalize some results of complete moment convergence results （or the refinement of complete convergence） obtained by Chow [On the rate of moment complete convergence of sample sums and extremes. Bull. Inst. Math. Academia Sinica, 16, 177-201 （1988）] and Li ＆ Spataru [Refinement of convergence rates for tail probabilities. J. Theor. Probab., 18, 933-947 （2005）] to sequences of identically distributed φ-mixing random variables.

关键词： complete convergence complete moment convergence φ-mixing

L^r Convergence for B-valued Random Elements

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Acta Mathematica Sinica,English Series 2012年第4期28卷 857-868页

作者： Ping Yan CHEN ding cheng WANG Department of Mathematics Ji'nan University School of Applied Mathematics University of Electronic Science and Technology of China

The paper investigates Lp convergence and Marcinkiewicz-Zygmund strong laws of large numbers for random elements in a Banach space under the condition that the Banach space is of Rademacher type p, 1 〈 p 〈 2. The paper also discusses Lτ convergence and Lτ bound for random elements without any geometric restriction condition on the Banach space.

关键词： Lτ convergence random element Rademacher type p Marcinkiewicz Zygmund stronglaw of large number

Convergence Rates for Probabilities of Moderate Deviations for Moving Average Processes

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Acta Mathematica Sinica,English Series 2008年第4期24卷 611-622页

作者： Ping Yan CHEN ding cheng WANG Department of Mathematics Jinan University Guangzhou 510630 P. R. China Center of Financial Mathematics MSI Australian National University Canberra Act 0200 Australia School of Applied Mathematics University of Electronic Science and Technology of ChinaChengdu 610054 P. R. China

The present paper first shows that, without any dependent structure assumptions for a sequence of random variables, the refined results of the complete convergence for the sequence is equivalent to the corresponding complete moment convergence of the sequence. Then this paper investigates the convergence rates and refined convergence rates （or complete moment convergence） for probabilities of moderate deviations of moving average processes. The results in this paper extend and generalize some well-known results.

关键词： complete convergence complete moment convergence moderate deviation law of the iterated logarithm invariance principle moving average process

Modulo computably enumerable degrees by cupping partners

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Science China Mathematics 2007年第6期50卷 899-912页

作者： Wei WANG De-cheng ding Department of Mathematics Nanjing UniversityNanjing 210093China

Cupping partners of an element in an upper semilattice with a greatest element 1 are those joining the element to 1. We define a congruence relation on such an upper semilattice by considering the elements having the same cupping partners as equivalent. It is interesting that this congruence relation induces a non-dense quotient structure of computably enumerable Turing degrees. Another main interesting phenomenon in this article is that on the computably enumerable degrees, this relation is different from that modulo the noncuppable ideal, though they define a same equivalent class for the computable Turing degree.

关键词： Turing degrees computably enumerable cupping partner 03D25

Learning robust principal components from L1-norm maximization

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Journal of Zhejiang University-Science C(Computers and Electronics) 2012年第12期13卷 901-908页

作者： ding-cheng FENG Feng CHEN Wen-li XU Tsinghua National Laboratory for Information Science and Technology Tsinghua University Beijing 100084 China Department of Automation Tsinghua University Beijing 100084 China

Principal component analysis(PCA) is fundamental in many pattern recognition *** research has been performed to minimize the reconstruction error in L1-norm based reconstruction error minimization(L1-PCA-REM) since conventional L2-norm based PCA(L2-PCA) is sensitive to ***,the variance maximization formulation of PCA with L1-norm(L1-PCA-VM) has been proposed,where new greedy and nongreedy solutions are *** with the gradient ascent perspective for optimization,we show that the L1-PCA-VM formulation is problematic in learning principal components and that only a greedy solution can achieve robustness motivation,which are verified by experiments on synthetic and real-world datasets.

关键词： Principal component analysis(PCA) Outliers L1-norm,Greedy algorithms Non-greedy algorithms

Complete moment convergence for ND random variables under the sub-linear expectations

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Applied Mathematics(A Journal of Chinese Universities) 2023年第3期38卷 444-457页

作者： FENG Feng-xiang WANG ding-cheng WU Qun-ying College of Science Guilin University of TechnologyGuilin 541004China School of Mathematical Science University of Electronic Science and TechnologyChengdu 611731China

In this article,we establish a general result on complete moment convergence for arrays of rowwise negatively dependent(ND)random variables under the sub-linear *** applications,we can obtain a series of results on co... 详细信息

关键词： complete convergence complete moment convergence ND random variables sub-linear expectation

Resource allocation for multiuser two-way OFDMA relay networks with user rate constraints

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The Journal of China Universities of Posts and Telecommunications 2011年第3期18卷 54-61页

作者： YANG ding-cheng XU Ji-sheng HU Shu-kai School of Electronic Information Wuhan University Wuhan 430079 China The State Key Lab of ISN Xidian University Xi'an 710126 China

This paper studies the resource allocation for a multi-user two-way amplify-and-forward （AF） relay network over orthogonal frequency-division multiplexing （OFDM） technology, where all users communicate with their pre-assigned partners. Using convex optimization techniques, an optimal solution to minimize the total transmit power while satisfy each user-pair＇s data rate requirements is proposed. We divide the resource allocation problem into two subproblems：（1） power optimization within user-pair and relay in each subcarrier. （2） optimal subcarrier allocation and sum power assignment among N parallel OFDM subcarriers. Closed-form expressions of the power among user-pair and relay can be obtained in subproblem （1）, and so the proposed algorithm decreases the variable dimensionality of the objective function to reduce the complexity of this optimization problem. To solve it, a three-step suboptimal approach is proposed to assign the resources to user-pairs： Firstly, decompose each user-pair into two sub user-pairs which have one-way and two-way relaying transmission modes. Secondly, allocate the subcarriers to the new mode user-pairs and assign the transmit power to each carrier. Thirdly, distribute the assigned power to three nodes allocated in the subcarrier. Simulation results demonstrate the significant power is saved with the proposed solutions, as compared to a fixed subcarrier allocation.

关键词： resource allocation convex optimization Two-way relay amplify and forward multiuser dual decomposition orthogonal frequency-division multiplexingaccess (OFDMA)

Estimation method for parameters of overlapping nuclear pulse signal

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Nuclear Science and Techniques 2017年第1期28卷 80-87页

作者： Hong-Quan Huang Xiao-Feng Yang Wei-cheng ding Fang Fang College of Nuclear Technology and Automation Engineering Chengdu University of Technology Fundamental Science on Radioactive Geology and Exploration Technology Laboratory East China Institute of Technology

Identification of nuclear pulse signal is of importance in radioactive measurements,especially in recognizing adjacent overlapping nuclear *** this article,we propose an estimation method for parameters of typical overlapping nuclear pulse ***,the nuclear pulses are regarded as individual genes and the norm is set as the fitness ***,the global optimal solution is found by searching the population of genetic algorithm,so as to estimate the parameters of nuclear *** high precision,this method can identify parameters of overlapping nuclear pulses in the Sallen-Key Gaussian signal decomposition *** pulse recognition method is of great significance to improve the precision of radioactive measurement and is suitable for serious overlap of nuclear pluses.

关键词： Nuclear pulse Overlapping Parameter identification

Oxidation pathway and kinetics of titania slag powders during cooling process in air

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International Journal of Minerals,Metallurgy and Materials 2021年第6期28卷 981-990页

作者： Wen-chao He Xue-wei Lü cheng-yi ding Zhi-ming Yan School of Metallurgy and Materials Engineering Chongqing University of Science and TechnologyChongqing 401331China College of Materials Science and Engineering Chongqing UniversityChongqing 400044China State Key Laboratory of Mechanical Transmissions Chongqing UniversityChongqing 400044China Chongqing Key Laboratory of Vanadium-Titanium Metallurgy and New Materials Chongqing UniversityChongqing 400044China College of Metallurgical Engineering Anhui University of TechnologyMa’anshan 243002China WMG University of WarwickCoventryCV47ALUK

The oxidation pathway and kinetics of titania slag powders in air were analyzed using differential scanning calorimetry(DSC)and thermogravimetry(TG).The oxidation pathway of titania slag powder in air was divided into three stages according to their three exothermic peaks and three corresponding mass gain stages indicated by the respective non-isothermal DSC and TG *** isothermal oxidation kinetics of high titania slag powders of different sizes were analyzed using the ln-ln analysis *** results revealed that the entire isothermal oxidation process comprises two *** kinetic mechanism of the first stage can be described as f(α) = 1.77(1-α) [-ln (1-α)]^((1.77-1)/1.77),f(α)= 1.97(1-α) [-ln (1-α)]^((1.97-1)/1.97),and f (α) = 1.18(1-α) [-ln (1-α)]^((1.18-1)/1.18).The kinetic mechanism of the second stage for all samples can be described as f (α)=1.5(1-α)^(2/3)[1-(1-α)^(1/3)]^(-1).The activation energies of titania slag powders with different sizes(d_(1)<0.075 mm,0.125 mm

关键词： high titania slag powder oxidation pathway isothermal oxidation kinetics ln-ln analysis activation energy rate-controlling step