《Communications in Mathematics and Statistics》

作品数:317被引量:258H指数:8
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《Communications in Mathematics and Statistics》
主办单位:中国科学技术大学
最新期次:2024年4期更多>>
发文主题:EDSUBGROUPSFINITE_GROUPSGENERALIZEDN-更多>>
发文领域:理学自动化与计算机技术文化科学电子电信更多>>
发文基金:国家自然科学基金国家重点基础研究发展计划高等学校学科创新引智计划霍英东教育基金更多>>
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The kth Power Expectile Estimation and Testing
《Communications in Mathematics and Statistics》2024年第4期573-615,共43页Fuming Lin Yingying Jiang Yong Zhou 
This paper develops the theory of the kth power expectile estimation and considers its relevant hypothesis tests for coefficients of linear regression models.We prove that the asymptotic covariance matrix of kth power...
关键词:The kth power expectiles Expectiles QUANTILES Testing for homoskedasticity Testing for conditional symmetry Estimating asymptotic matrix of quantile regression 
Frobenius Manifolds and a New Class of Extended Affine Weyl Groups of A-type(II)
《Communications in Mathematics and Statistics》2024年第4期617-632,共16页Shilin Ma Dafeng Zuo 
supported by NSFC(Nos.12071451,11871446,12061131014);Wu Wen-Tsun Key Laboratory of Mathematics,USTC,CAS.
With the help of the local isomorphism between theHurwitz space M_(0;k−1,l−k−r+1,r−1) and the orbit spaceMk,k+r(Al),we will show the existence of a Frobenius manifold structure on the orbit space M_(k,k+r)(Al)\Σr of ...
关键词:Frobenius manifolds Extended affine Weyl groups 
Isogeometric Analysis on Implicit Domains:Approximation,Stability and Error Estimates
《Communications in Mathematics and Statistics》2024年第4期633-658,共26页Fang Deng Tianhui Yang Jingjing Liu Jiansong Deng 
The gap between finite element analysis and computer-aided design derives the development of isogeometric analysis(IGA),which uses the same representation in the geometry and the analysis.However,the parameterization ...
关键词:Isogeometric analysis WEB method Implicit domain Weight function Error estimates 
An Alternative Doubly Robust Estimation in Causal Inference Model
《Communications in Mathematics and Statistics》2024年第4期659-678,共20页Shaojie Wei Gaorong Li Zhongzhan Zhang 
supported by theNational Natural Science Foundation of China(No.11771032 and No.11971045);Natural Science Foundation of Beijing(No.1202001);supported by the National Natural Science Foundation of China(No.11871001,No.12131006 and No.11971001);the Fundamental Research Funds for the Central Universities(2019NTSS18).
Doubly robust(DR)methods that employ both the propensity score and outcome models are widely used to estimate the causal effect of a treatment and generally outperform those methods only using the propensity score or ...
关键词:Average treatment effect Causal effect Doubly robust method Estimating equation Inverse probability weighting Semiparametric efficiency 
Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution
《Communications in Mathematics and Statistics》2024年第4期679-694,共16页Raouf Fakhfakh Abdelhamid Hassairi 
supported by the Deanship of Scientific Research at Jouf University through research Grant No.(DSR-2021-03-03188).
In this paper,we determine the effect of the free multiplicative convolution on the pseudo-variance function of a Cauchy-Stieltjes kernel family.We then use the machinery of variance functions to establish some limit ...
关键词:Variance function Cauchy kernel Free multiplicative convolution S-TRANSFORM 
Floer Homology:From Generalized Morse–Smale Dynamical Systems to Forman’s Combinatorial Vector Fields
《Communications in Mathematics and Statistics》2024年第4期695-720,共26页Marzieh Eidi Jürgen Jost 
We construct a Floer type boundary operator for generalised Morse–Smale dynamical systems on compact smooth manifolds by counting the number of suitable flow lines between closed(both homoclinic and periodic)orbits a...
关键词:FIELD MORSE FLOW 
On a Discriminator for the Polynomial f(x)=x^(3)+x
《Communications in Mathematics and Statistics》2024年第4期721-734,共14页Quan-Hui Yang Lilu Zhao 
Let△(n)denote the smallest positive integer m such that a^(3)+a(1≤a≤n)are pairwise distinct modulo m.The purpose of this paper is to determine△(n)for all positive integers n.
关键词:CONGRUENCE Character sum Quadratic residue Kloosterman sum 
Existence and Convergence of Solutions for Nonlinear Elliptic Systems on Graphs
《Communications in Mathematics and Statistics》2024年第4期735-754,共20页Jinyan Xu Liang Zhao 
We consider a kind of nonlinear systems on a locally finite graph G=(V,E).We prove via the mountain pass theorem that this kind of systems has a nontrivial ground state solutionwhich depends on the parameterλwith som...
关键词:Nonlinear elliptic system Locally finite graph Ground state solution 
Strong Overall Error Analysis for the Training of Artificial Neural Networks Via Random Initializations
《Communications in Mathematics and Statistics》2024年第3期385-434,共50页Arnulf Jentzen Adrian Riekert 
funded by the Deutsche Forschungsgemeinschaft(DFG,German Research Foundation)under Germany’s Excellence Strategy EXC 2044-390685587;Mathematics Münster:Dynamics-Geometry-Structure。
Although deep learning-based approximation algorithms have been applied very successfully to numerous problems,at the moment the reasons for their performance are not entirely understood from a mathematical point of v...
关键词:Deep learning Artificial intelligence Empirical risk minimization Optimization 
Estimating Latent Linear Correlations from Fuzzy Frequency Tables
《Communications in Mathematics and Statistics》2024年第3期435-461,共27页Antonio Calcagnì 
This research concerns the estimation of latent linear or polychoric correlations from fuzzy frequency tables.Fuzzy counts are of particular interest to many disciplines including social and behavioral sciences and ar...
关键词:Fuzzy frequency Generalized natural numbers Polychoric correlations Fuzzy data analysis 
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