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MAXIMUM: 作品数：885被引量：1474H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：孟庆武熊毅田铮郭小卫林伟更多>>; 相关机构：东南大学复旦大学北京师范大学清华大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家高技术研究发展计划中国博士后科学基金更多>>

Asymptotic Independence of the Quadratic Form and Maximum of Independent Random Variables with Applications to High-Dimensional Tests: 《Acta Mathematica Sinica,English Series》2024年第12期3093-3126,共34页Da Chuan CHEN Long FENG De Cai LIANG; supported by the National Natural Science Foundation of China(Grant Nos.12101335 and 12271271);the Natural Science Foundation of Tianjin(Grant No.21JCQNJC00020);the Fundamental Research Funds for the Central Universities,Nankai University(Grant Nos.63211088 and 63221050);supported by National Natural Science Foundation of China(Grant No.12101332);supported by Shenzhen Wukong Investment Company,the Fundamental Research Funds for the Central Universities under(Grant No.ZB22000105);the China National Key R&D Program(Grant Nos.2019YFC1908502,2022YFA1003703,2022YFA1003802,2022YFA1003803);the National Natural Science Foundation of China(Grants Nos.12271271,11925106,12231011,11931001 and 11971247)。; This paper establishes the asymptotic independence between the quadratic form z^(T)Az and maximum max1≤i≤p|zi|of a sequence of independent sub-Gaussian random variables z=(z1m…zp)^(T).Based on this theoretical resu...; 关键词：Asymptotic independence high dimensional data large p small n one-sample test two-sample test

Maximizing the Minimum and Maximum Forcing Numbers of Perfect Matchings of Graphs: 《Acta Mathematica Sinica,English Series》2023年第7期1289-1304,共16页Qian Qian LIU He Ping ZHANG; Supported by National Natural Science Foundation of China (Grant No. 12271229);Gansu Provincial Department of Education:Youth Doctoral fund project (Grant No. 2021QB-090)。; Let G be a simple graph with 2n vertices and a perfect matching.The forcing number f(G,M) of a perfect matching M of G is the smallest cardinality of a subset of M that is contained in no other perfect matching of G.A...; 关键词：Perfect matching minimum forcing number maximum forcing number forcing spectrum complete multipartite graph

The Maximum α-spectral Radius of Unicyclic Hypergraphs with Fixed Diameter: 《Acta Mathematica Sinica,English Series》2022年第5期924-936,共13页Li Ying KANG Jing WANG Er Fang SHAN; Supported by the National Nature Science Foundation of China(Grant Nos.11871329,11971298)。; For 0≤α<1,theα-spectral radius of an r-uniform hypergraph G is the spectral radius of A_(α)(G)=αD(G)+(1-α)A(G),where D(G)and A(G)are the diagonal tensor of degrees and adjacency tensor of G,respectively.In this ...; 关键词：Unicyclic hypergraph α-spectral radius principal eigenvector DIAMETER pendant edge

Testing Regression Coefficients in High-Dimensional and Sparse Settings: 《Acta Mathematica Sinica,English Series》2021年第10期1513-1532,共20页Kai XU Yan TIAN Qing CHENG; Supported by the National Natural Science Foundation of China(Grant No.11901006);the Natural Science Foundation of Anhui Province(Grant No.1908085QA06);the Talent Foundation of Anhui Normal University(Grant No.751811)。; In the high-dimensional setting,this article considers a canonical testing problem in multivariate analysis,namely testing coefficients in linear regression models.Several tests for highdimensional regression coeffici...; 关键词：Extreme value distribution high-dimensional linear models maximum-type-test

Neighbor Sum Distinguishing Total Coloring of Triangle Free IC-planar Graphs被引量：3: 《Acta Mathematica Sinica,English Series》2020年第3期292-304,共13页Wen Yao SONG Yuan Yuan DUAN Lian Ying MIAO; Supported by National Natural Science Foundation of China(Grant No.11771443);the Foundation of Innovative Science and Technology for Youth in Universities of Shandong Province,China(Grant No.2019KJI001)。; A graph is IC-planar if it admits a drawing in the plane such that each edge is crossed at most once and two crossed edges share no common end-vertex.A proper total-k-coloring of G is called neighbor sum distinguishin...; 关键词：NEIGHBOR SUM distinguishing total COLORING Combinatorial Nullstellensatz TRIANGLE free IC-planar graph MAXIMUM DEGREE

Neighbor Sum Distinguishing Edge Coloring of Subcubic Graphs被引量：8: 《Acta Mathematica Sinica,English Series》2017年第2期252-262,共11页Xiao Wei YU Guang Hui WANG Jian Liang WU Gui Ying YAN; Supported by National Natural Science Foundation of China(Grant Nos.11371355,11471193,11271006,11631014);the Foundation for Distinguished Young Scholars of Shandong Province(Grant No.JQ201501);the Fundamental Research Funds of Shandong University and Independent Innovation Foundation of Shandong University(Grant No.IFYT14012); A proper edge-k-coloring of a graph G is a mapping from E（G） to {1, 2,..., k} such that no two adjacent edges receive the same color. A proper edge-k-coloring of G is called neighbor sum distinguishing if for each e...; 关键词：Proper edge coloring neighbor sum distinguishing edge coloring maximum average de-gree subcubic graph planar graph

Maximum Orders of Extendable Actions on Surfaces: 《Acta Mathematica Sinica,English Series》2016年第1期54-68,共15页Chao WANG Shi Cheng WANG Yi Mu ZHANG; partially supported by National Natural Science Foundation of China(Grant No.11371034); We determine the maximum order Eg of finite groups G acting on the closed surface E9 of genus g which extends over （S3, ∑g） for all possible embeddings ∑g → S3, where g 〉 1.; 关键词：Symmetry of surface symmetry of 3-sphere extendable action

Expansions for the Distribution and the Maximum from Distributions with an Asymptotically Gamma Tail When a Trend Is Present: 《Acta Mathematica Sinica,English Series》2015年第3期526-542,共17页Christopher S.WITHERS Saralees NADARAJAH; We give expansions about the Gumbel distribution in inverse powers of n and logn for Mn, the maximum of a sample size n or n ＋ 1 when the j-th observation is μ（j/n）＋ ej, μ is any smooth trend flmction and the r...; 关键词：Bell polynomials EXPANSIONS exponential and gamma tails Gumbel MAXIMUM TREND

The Limit Theorems for Maxima of Stationary Gaussian Processes with Random Index被引量：1: 《Acta Mathematica Sinica,English Series》2014年第6期1021-1032,共12页Zhong Quan TAN; Supported by National Science Foundation of China(Grant No.11326175);Research Start-up Foundation of Jiaxing University(Grant No.70512021); Let {X（t）, t ≥ 0} be a standard（zero-mean, unit-variance） stationary Gaussian process with correlation function r（·） and continuous sample paths. In this paper, we consider the maxima M（T） = max{X（t）, t∈ ...; 关键词：Limit theorem weak convergence MAXIMUM random index stationary Gaussian process

Stability vs.Optimality in Selfish Ring Routing: 《Acta Mathematica Sinica,English Series》2014年第5期767-784,共18页Bo CHEN Xujin CHEN Jie HU; Supported in part by China 973 Project(Grant No.2011CB80800);National Natural Science Foundation of China(Grant Nos.10531070,10721101,11222109 and 71101006);CAS Program for Cross & Cooperative Team of Science & Technology Innovation; We study asymmetric atomic selfish routing in ring networks, which has diverse practical applications in network design and analysis. We are concerned with minimizing the maximum latency of source-destination node-pai...; 关键词：Selfish routing price of stability minimum maximum linear latency

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