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...
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 ...
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 ...
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 ...
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 ...
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...
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.
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...
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...
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...