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Semi-Functional Partial Linear Quantile Regression Model with Randomly Censored Responses Commun. Math. Stat. (IF 0.9) Pub Date : 2024-03-17 Nengxiang Ling, Jintao Yang, Tonghui Yu, Hui Ding, Zhaoli Jia
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Generalized Varying Coefficient Mediation Models Commun. Math. Stat. (IF 0.9) Pub Date : 2024-02-20 Jingyuan Liu, Yujie Liao, Runze Li
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Uniqueness and Continuity of the Solution to $$L_p$$ Dual Minkowski Problem Commun. Math. Stat. (IF 0.9) Pub Date : 2024-02-08 Hejun Wang, Jiazu Zhou
Lutwak et al. (Adv Math 329:85–132, 2018) introduced the \(L_p\) dual curvature measure that unifies several other geometric measures in dual Brunn–Minkowski theory and Brunn–Minkowski theory. Motivated by works in Lutwak et al. (Adv Math 329:85–132, 2018), we consider the uniqueness and continuity of the solution to the \(L_p\) dual Minkowski problem. To extend the important work (Theorem A) of LYZ
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New Approaches for Testing Slope Homogeneity in Large Panel Data Models Commun. Math. Stat. (IF 0.9) Pub Date : 2024-01-25 Guanghui Wang, Long Feng, Ping Zhao
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Hardy Spaces Associated with Non-negative Self-adjoint Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their Applications Commun. Math. Stat. (IF 0.9) Pub Date : 2024-01-19 Xiaosheng Lin, Dachun Yang, Sibei Yang, Wen Yuan
Let \(({\mathcal {X}},d,\mu )\) be a doubling metric measure space in the sense of R. R. Coifman and G. Weiss, L a non-negative self-adjoint operator on \(L^2({\mathcal {X}})\) satisfying the Davies–Gaffney estimate, and \(X({\mathcal {X}})\) a ball quasi-Banach function space on \({\mathcal {X}}\) satisfying some extra mild assumptions. In this article, the authors introduce the Hardy type space \(H_{X
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Even Character Degrees and Ito–Michler Theorem Commun. Math. Stat. (IF 0.9) Pub Date : 2024-01-18
Abstract Let \(\textrm{Irr}_2(G)\) be the set of linear and even-degree irreducible characters of a finite group G. In this paper, we prove that G has a normal Sylow 2-subgroup if \(\sum \limits _{\chi \in \textrm{Irr}_2(G)} \chi (1)^m/\sum \limits _{\chi \in \textrm{Irr}_2(G)} \chi (1)^{m-1} < (1+2^{m-1})/(1+2^{m-2})\) for a positive integer m, which is the generalization of several recent results
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Optimal Convergence Rates in the Averaging Principle for Slow–Fast SPDEs Driven by Multiplicative Noise Commun. Math. Stat. (IF 0.9) Pub Date : 2024-01-18 Yi Ge, Xiaobin Sun, Yingchao Xie
In this paper, the averaging principle is researched for slow–fast stochastic partial differential equations driven by multiplicative noises. The optimal orders for the slow component that converges to the solution of the corresponding averaged equation have been obtained by using the Poisson equation method under some appropriate conditions. More precisely, the optimal orders are 1/2 and 1 for the
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Directional Entropy and Pinsker $$\sigma $$ -Algebra for $$\mathbb {Z}^{2}$$ -Actions Commun. Math. Stat. (IF 0.9) Pub Date : 2024-01-17 Runju Wei, Leiye Xu, Xiaomin Zhou
In this paper, we study the directional entropy along irrational directions in \(\mathbb {R}^2\) and present the structure of directional Pinsker \(\sigma \)-algebra of \(\mathbb {Z}^2\)-MPSs.
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A Class of Polynomial Modules over Map Lie Algebras Commun. Math. Stat. (IF 0.9) Pub Date : 2024-01-17 Hongjia Chen, Han Dai, Xingpeng Liu
For any finitely generated unital commutative associative algebra \(\mathcal {R}\) over \(\mathbb {C}\) and any complex finite-dimensional simple Lie algebra \(\mathfrak {g}\) with a fixed Cartan subalgebra \(\mathfrak {h}\), we classify all \(\mathfrak {g}\otimes \mathcal {R}\)-modules on \(U(\mathfrak {h})\) such that \(\mathfrak {h}\) as a subalgebra of \(\mathfrak {g}\otimes \mathcal {R}\), acts
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Multiply Robust Estimation of Quantile Treatment Effects with Missing Responses Commun. Math. Stat. (IF 0.9) Pub Date : 2023-12-29
Abstract Causal inference and missing data have attracted significant research interests in recent years, while the current literature usually focuses on only one of these two issues. In this paper, we develop two multiply robust methods to estimate the quantile treatment effect (QTE), in the context of missing data. Compared to the commonly used average treatment effect, QTE provides a more complete
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Local Influence Detection of Conditional Mean Dependence Commun. Math. Stat. (IF 0.9) Pub Date : 2023-11-20 Tingyu Lai, Zhongzhan Zhang
This article is focused on the problem to measure and test the conditional mean dependence of a response variable on a predictor variable. A local influence detection approach is developed combining with the martingale difference divergence (MDD) metric, and an efficient wild bootstrap implementation is given. The obtained new metric of the conditional mean dependence holds the merits of MDD, while
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Automatic Structure Identification of Semiparametric Spatial Autoregressive Model Based on Smooth-Threshold Estimating Equation Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-25 Fang Lu, Jing Yang, Xuewen Lu
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Harrison Center and Products of Sums of Powers Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-25 Hua-Lin Huang, Lili Liao, Huajun Lu, Yu Ye, Chi Zhang
This paper is mainly concerned with identities like $$\begin{aligned} \left( x_1^d + x_2^d + \cdots + x_r^d\right) \left( y_1^d + y_2^d + \cdots y_n^d\right) = z_1^d + z_2^d + \cdots + z_m^d \end{aligned}$$ where \(d>2,\) \(m \in \{n, n+1\},\) \(x=(x_1, x_2, \dots , x_r)\) and \(y=(y_1, y_2, \dots , y_n)\) are systems of indeterminates and each \(z_k\) is a linear form in y with coefficients in the
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Fischer–Marsden Conjecture and Equation in the Complex Hyperbolic Quadric Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-28 Young Jin Suh
By using the notion of Fischer–Marsden equation on real hypersurfaces in the complex hyperbolic quadric \({{Q^m}^*} = {{\text {SO}}^o_{2,m}/{\text {SO}}_2 {\text {SO}}_m}\), we can assert that there does not exist a non-trivial solution \((g,{\nu })\) of Fischer–Marsden equation on real hypersurfaces with isometric Reeb flow in the complex hyperbolic quadric \({Q^m}^*\). Next, as an application we
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Shape Analysis by Computing Geodesics on a Manifold via Cubic B-splines Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-27 Qian Ni, Xuhui Wang
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The Cooperative Mean Field Game for Production Control with Sticky Price Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-25 Lijun Bo, Tongqing Li
We study a cooperative mean field game problem arising from the production control for multiple firms with price stickiness in the commodity market. The price dynamics for each firm is described as a controlled jump-diffusion process with mean-field interaction. Each firm aims to maximize the so-called social rewards which is defined by the average of individual rewards for all firms. By solving the
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Turán Number of Nonbipartite Graphs and the Product Conjecture Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-25 Xing Peng, Ge Song, Long-Tu Yuan
The decomposition family of a family of graphs often helps us to determine the error term in the well-known Erdős–Stone–Simonovits theorem. We study the Turán number of families of nonbipartite graphs such that their decomposition families contain a matching and a star. To be precisely, we prove tight bounds on the Turán number of such families of graphs. Moreover, we find a graph which is a counterexample
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On Asymptotic Behavior of Elliptic SO(d)-Equivariant Yang–Mills Fields Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-23 Yezhou Yi
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On Vanishing Theorems for Locally Conformally Flat Riemannian Manifolds with an Integral Pinching Condition Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-21 Duc Thoan Pham, Van Khien Tran, Thi Hong Nguyen
In this paper, we show some vanishing theorems for harmonic p-forms on a locally conformally flat Riemannian manifold. In the concrete, provided that the integral of the traceless Ricci tensor has a suitable bound, we obtain a vanishing theorem for them without any scalar curvature conditions. Another theorem is also given under the condition on nonpositive scalar curvature, which improves and extends
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Stochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-13 Guangjun Shen, Jiayuan Yin, Jiang-Lun Wu
In this paper, we derive an averaging principle for a fast–slow system of stochastic differential equations (SDEs) involving distribution-dependent coefficients driven by both fractional Brownian motion (fBm) and standard Brownian motion (Bm). We first establish the existence and uniqueness of solutions of the fast–slow system and the corresponding averaging equation. Then, we show that the slow component
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Backward Doubly Stochastic Integral Equations of the Volterra Type and Some Related Problems Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-12 Jasmina Đorđević
Backward doubly stochastic integral equations of the Volterra type (BDSIEVs in short) are observed in this paper. Existence of M-solution established under functional Lipschitz assumptions. Duality principle between linear BDSIEVs and (forward) stochastic Volterra integral equations is obtained. Using duality principle, the comparison theorem for the adapted solutions of BDSIEVs is proven.
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Bayesian Analysis of Two-Part Latent Variable Model with Mixed Data Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-09 Shuang-Can Xiong, Ye-Mao Xia, Bin Lu
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Improvements on Induced Subgraphs of Given Sizes Commun. Math. Stat. (IF 0.9) Pub Date : 2023-10-10 Jialin He, Jie Ma, Lilu Zhao
Given integers m and f, let \(S_n(m,f)\) be the set consisting of all integers e such that every n-vertex graph with e edges contains an m-vertex induced subgraph with f edges, and let \(\sigma (m,f)=\limsup _{n\rightarrow \infty } |S_n(m,f)|/\left( {\begin{array}{c}n\\ 2\end{array}}\right) \). As a natural extension of an extremal problem of Erdős, this was investigated by Erdős, Füredi, Rothschild
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Density Power Divergence Estimator for General Integer-Valued Time Series with Exogenous Covariates Commun. Math. Stat. (IF 0.9) Pub Date : 2023-09-25 Mamadou Lamine Diop, William Kengne
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Expected Shortfall Regression for Censored Data Commun. Math. Stat. (IF 0.9) Pub Date : 2023-09-11 Shoukun Jiao, Wuyi Ye
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Asymptotic Distribution of the Correlation Matrix in a Monotone Incomplete Sample Commun. Math. Stat. (IF 0.9) Pub Date : 2023-09-11 Shin-ichi Tsukada
Data with missing values are often obtained using multivariate statistical analyses. It is crucial to study how to estimate parameters and test hypotheses using such data. There exists a step monotone incomplete sample as a simple model of data, which includes such missing values. In this study, we derive the asymptotic distribution of the estimator for the correlation matrix and propose a hypothesis
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Generalizations of the Erdős–Kac Theorem and the Prime Number Theorem Commun. Math. Stat. (IF 0.9) Pub Date : 2023-09-13 Biao Wang, Zhining Wei, Pan Yan, Shaoyun Yi
In this paper, we study the linear independence between the distribution of the number of prime factors of integers and that of the largest prime factors of integers. Under a restriction on the largest prime factors of integers, we will refine the Erdős–Kac Theorem and Loyd’s recent result on Bergelson and Richter’s dynamical generalizations of the Prime Number Theorem, respectively. At the end, we
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Homogeneity Estimation in Multivariate Generalized Linear Models Commun. Math. Stat. (IF 0.9) Pub Date : 2023-09-13 Hao Ding, Zhanfeng Wang, Yaohua Wu, Yuehua Wu
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On Structure Theorems and Non-saturated Examples Commun. Math. Stat. (IF 0.9) Pub Date : 2023-09-10 Qinqi Wu, Hui Xu, Xiangdong Ye
For any minimal system (X, T) and \(d\ge 1\), there is an associated minimal system \((N_{d}(X), {\mathcal {G}}_{d}(T))\), where \({\mathcal {G}}_{d}(T)\) is the group generated by \(T\times \cdots \times T\) and \(T\times T^2\times \cdots \times T^{d}\), and \(N_{d}(X)\) is the orbit closure of the diagonal under \({\mathcal {G}}_{d}(T)\). It is known that the maximal d-step pro-nilfactor of \(N_d(X)\)
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Incorporating Relative Error Criterion to Conformal Prediction for Positive Data Commun. Math. Stat. (IF 0.9) Pub Date : 2023-09-01 Yuxiang Luo, Yang Wei, Zhouping Li, Bing-Yi Jing
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Fast Isogeometric Method for Fluid–Structure Interaction Simulation of Heart Valves with GIFT Framework Commun. Math. Stat. (IF 0.9) Pub Date : 2023-08-16 Shuhao Ma, Jinlan Xu, Gang Xu
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On Spatio-Temporal Model with Diverging Number of Thresholds and its Applications in Housing Market Commun. Math. Stat. (IF 0.9) Pub Date : 2023-07-20 Baisuo Jin, Yaguang Li, Yuehua Wu
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Backward Linear-Quadratic Mean Field Social Optima with Partial Information Commun. Math. Stat. (IF 0.9) Pub Date : 2023-07-15 Mengzhen Li, Zhen Wu
This paper is concerned with the linear-quadratic social optima for a class of N weakly coupled backward system with partial information structure. The system dynamics are governed by linear backward stochastic differential equations, and the objective is to minimize a social cost. The stochastic filtering Hamiltonian system is obtained from variational analysis. By virtue of the stochastic filtering
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Continuous Cluster Expansion for Field Theories Commun. Math. Stat. (IF 0.9) Pub Date : 2023-07-12 Fang-Jie Zhao
A new version of the cluster expansion is proposed without breaking the translation and rotation invariance. As an application of this technique, we construct the connected Schwinger functions of the regularized \(\phi ^4\) theory in a continuous way.
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Heterogeneity Exploration for Multi-Response Regression Commun. Math. Stat. (IF 0.9) Pub Date : 2023-07-12 Jie Wu, Wenjie Gao, Ruipeng Dong, Zemin Zheng
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Symbolic Treatment of Trigonometric Parametrizations: The General Unirational Case and Applications Commun. Math. Stat. (IF 0.9) Pub Date : 2023-07-10 Alberto Lastra, Juan Rafael Sendra, Juana Sendra
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The Large Deviation of Semi-linear Stochastic Partial Differential Equation Driven by Brownian Sheet Commun. Math. Stat. (IF 0.9) Pub Date : 2023-06-16 Qiyong Cao, Hongjun Gao
We prove the large deviation principle for the law of the one-dimensional semi-linear stochastic partial differential equations driven by a nonlinear multiplicative noise. Firstly, combining the energy estimate and approximation procedure, we obtain the existence of the global solution. Secondly, the large deviation principle is obtained via the weak convergence method.
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Strong Convergence Theorems Under Sub-linear Expectations and Its Applications in Nonparametric Regression Models Commun. Math. Stat. (IF 0.9) Pub Date : 2023-06-16 Yi Wu, Xin Deng, Mengmei Xi, Xuejun Wang
In this paper, we first study the complete convergence for arrays of rowwise widely orthant dependent random variables under sub-linear expectations. The complete convergence theorems are established in sense of sub-additive capacities under some mild conditions. As an application of the main results, we investigate the strong consistency for the weighted estimator in a nonparametric regression model
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Robust Model Structure Recovery for Ultra-High-Dimensional Varying-Coefficient Models Commun. Math. Stat. (IF 0.9) Pub Date : 2023-06-16 Jing Yang, Guo-Liang Tian, Xuewen Lu, Mingqiu Wang
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Federated Sufficient Dimension Reduction Through High-Dimensional Sparse Sliced Inverse Regression Commun. Math. Stat. (IF 0.9) Pub Date : 2023-05-30 Wenquan Cui, Yue Zhao, Jianjun Xu, Haoyang Cheng
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The Short Local Algebras of Dimension 6 with Non-projective Reflexive Modules Commun. Math. Stat. (IF 0.9) Pub Date : 2023-05-30 Claus Michael Ringel
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High-Order Self-excited Threshold Integer-Valued Autoregressive Model: Estimation and Testing Commun. Math. Stat. (IF 0.9) Pub Date : 2023-05-13 Kai Yang, Ang Li, Han Li, Xiaogang Dong
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Application of the Theory of Tetragonal Curves to the Hierarchy of Extended Volterra Lattices Commun. Math. Stat. (IF 0.9) Pub Date : 2023-04-26 Minxin Jia, Xianguo Geng, Huan Liu, Jiao Wei
The theory of tetragonal curves is first applied to the study of discrete integrable systems. Based on the discrete Lenard equation, we derive a hierarchy of extended Volterra lattices associated with the discrete \(4\times 4\) matrix spectral problem. Resorting to the characteristic polynomial of the Lax matrix for the hierarchy of extended Volterra lattices, we introduce a tetragonal curve, a Baker–Akhiezer
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On Construction of Mappable Nearly Orthogonal Arrays with Column-Orthogonality Commun. Math. Stat. (IF 0.9) Pub Date : 2023-04-26 Haiyan Liu, Fasheng Sun, Dennis K. J. Lin, Min-Qian Liu
For designs of computer experiments, two important and desirable properties are projection uniformity and column-orthogonality. However, it is always a challenging task to construct designs with both properties. This paper constructs a series of designs which possess both (near) column-orthogonality and projection uniformity, called (nearly) column-orthogonal mappable nearly orthogonal arrays (MNOAs)
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Existence and Convergence of Solutions for Nonlinear Elliptic Systems on Graphs Commun. Math. Stat. (IF 0.9) Pub Date : 2023-04-06 Jinyan Xu, Liang Zhao
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Feature Selection for High-Dimensional Varying Coefficient Models via Ordinary Least Squares Projection Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-31 Haofeng Wang, Hongxia Jin, Xuejun Jiang
Feature selection is a changing issue for varying coefficient models when the dimensionality of covariates is ultrahigh. The traditional technology of significantly reducing dimensionality is the marginal correlation screening method based on nonparametric smoothing. However, marginal correlation screening methods may be screen out variables that are jointly correlated to the response. To address this
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Isogeometric Analysis Using Basis Functions of Splines Spaces over Hierarchical T-meshes with High Level Differences Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-22 Jingjing Liu, Fang Deng, Huanhuan Ma, Jiansong Deng
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Analysis of Informatively Interval-Censored Case–Cohort Studies with the Application to HIV Vaccine Trials Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-23 Mingyue Du, Qingning Zhou
Case–cohort studies are commonly used in various investigations, and many methods have been proposed for their analyses. However, most of the available methods are for right-censored data or assume that the censoring is independent of the underlying failure time of interest. In addition, they usually apply only to a specific model such as the Cox model that may often be restrictive or violated in practice
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A Flexible Model for Time Series of Counts with Overdispersion or Underdispersion, Zero-Inflation and Heavy-Tailedness Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-22 Lianyong Qian, Fukang Zhu
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BI-GreenNet: Learning Green’s Functions by Boundary Integral Network Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-16 Guochang Lin, Fukai Chen, Pipi Hu, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi
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Boundary Correspondence for Iso-Geometric Analysis Based on Deep Learning Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-16 Zheng Zhan, Ye Zheng, Wenping Wang, Falai Chen
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A Class of Structured High-Dimensional Dynamic Covariance Matrices Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-14 Jin Yang, Heng Lian, Wenyang Zhang
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Neural Network-Based Variational Methods for Solving Quadratic Porous Medium Equations in High Dimensions Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-09 Min Wang, Jianfeng Lu
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Stochastic Geometric Iterative Method for Loop Subdivision Surface Fitting Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-10 Chenkai Xu, Yaqi He, Hui Hu, Hongwei Lin
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Parameter Estimation of Beta-Exponential Distribution Using Linear Combination of Order Statistics Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-01 Ruijie Guan, Weihu Cheng, Yaohua Rong, Xu Zhao
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Strong Overall Error Analysis for the Training of Artificial Neural Networks Via Random Initializations Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-02 Arnulf Jentzen, Adrian Riekert
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 view. Recently, estimates for the convergence of the overall error have been obtained in the situation of deep supervised learning, but with an extremely slow rate of convergence. In this
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Additive Hazards Regression for Misclassified Current Status Data Commun. Math. Stat. (IF 0.9) Pub Date : 2023-03-01 Wenshan Wang, Shishun Zhao, Shuwei Li, Jianguo Sun
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Isogeometric Analysis on Implicit Domains: Approximation, Stability and Error Estimates Commun. Math. Stat. (IF 0.9) Pub Date : 2023-02-28 Fang Deng, Tianhui Yang, Jingjing Liu, Jiansong Deng
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A Hierarchical Bayesian Approach for Finite Mixture of Mode Regression Model Using Skew-Normal Distribution Commun. Math. Stat. (IF 0.9) Pub Date : 2023-02-28 Xin Zeng, Min Wang, Yuanyuan Ju, Liucang Wu
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Differentiable Deformation Graph-Based Neural Non-rigid Registration Commun. Math. Stat. (IF 0.9) Pub Date : 2023-02-28 Wanquan Feng, Hongrui Cai, Junhui Hou, Bailin Deng, Juyong Zhang