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1. Analysis of Informatively Interval-Censored Case-Cohort Studies with the Application to HIV Vaccine Trials NSTL国家科技图书文献中心

Du, Mingyue | Zhou, Qingning - 《Communications in Mathematics and Statistics》 - 2025,13(1) - 195～215 - 共21页

摘要：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

关键词： EM algorithm | Informative censoring | Inverse probability weighting | Joint modeling | Transformation model

2. Dimensions of Tri-Quadratic C1 Spline Spaces over Hierarchical 3D T-meshes NSTL国家科技图书文献中心

Liu, Min | Deng, Fang ... - 《Communications in Mathematics and Statistics》 - 2025,13(1) - 1～57 - 共57页

摘要：A 3D T-mesh is generally a cuboid grid which | allows hanging vertices. Here, a hanging vertex is an | interior vertex, but it is not a corner point of eight | cells. Spline function spaces with high order | smoothness over 3D T-meshes have great application prospect

关键词： Trivariate spline | Spline space | Dimension | Hierarchical 3D T-mesh | Space embedding

3. A Hierarchical Bayesian Approach for Finite Mixture of Mode Regression Model Using Skew-Normal Distribution NSTL国家科技图书文献中心

Zeng, Xin | Wang, Min ... - 《Communications in Mathematics and Statistics》 - 2025,13(1) - 173～194 - 共22页

摘要：Many data that exhibit asymmetrical behavior | can be well modeled with skew-normal random errors | . Moreover, data that arise from a heterogeneous population | can be efficiently analyzed by a finite mixture of | regression models. These observations motivate us to

关键词： Bayesian analysis | Mode regression | Heterogeneous data | Skew-normal distribution | Markov chain Monte Carlo

4. Improving the Lag Window Estimators of the Spectrum and Memory for Long-Memory Stationary Gaussian Processes NSTL国家科技图书文献中心

Laala, Barkahoum | Belaloui, Soheir ... - 《Communications in Mathematics and Statistics》 - 2025,13(1) - 59～98 - 共40页

摘要：Gaussian process (GP) is a stochastic process | that has been successfully applied in finance, black | -box modeling of biosystems, machine learning | , geostatistics, multitask learning or robotics and | reinforcement learning. Effectively estimating the spectral

关键词： Gaussian process | Spectral density | Degree of memory | Lag window | Periodogram | Local Whittle method | Regression method

5. Stochastic Geometric Iterative Method for Loop Subdivision Surface Fitting NSTL国家科技图书文献中心

Xu, Chenkai | He, Yaqi ... - 《Communications in Mathematics and Statistics》 - 2025,13(1) - 217～231 - 共15页

摘要：In this paper, we propose a stochastic | geometric iterative method (S-GIM) to approximate the high | -resolution 3D models by finite loop subdivision surfaces | . Given an input mesh as the fitting target, the initial | control mesh is generated using the mesh simplification

关键词： Geometric iterative | Surface fitting | Subdivision surface | Stochastic PIA | Stochastic LSPIA

6. High-Order Self-excited Threshold Integer-Valued Autoregressive Model: Estimation and Testing NSTL国家科技图书文献中心

Yang, Kai | Li, Ang ... - 《Communications in Mathematics and Statistics》 - 2025,13(1) - 233～260 - 共28页

摘要：Motivated by the need of modeling and | inference for high-order integer-valued threshold time | series models, this paper introduces a pth-order two | -regime self-excited threshold integer-valued | autoregressive (SETINAR(2, p)) model. Basic probabilistic and

关键词： Integer-valued time series | SETINAR(2 | p) process | Threshold autoregressive model | Nonlinearity test

7. Quantum N-toroidal Algebras and Extended Quantized GIM Algebras of N-fold Affinization NSTL国家科技图书文献中心

Gao, Yun | Jing, Naihuan ... - 《Communications in Mathematics and Statistics》 - 2025,13(1) - 99～137 - 共39页

摘要：We introduce the notion of quantum N-toroidal | algebras as natural generalization of the quantum | toroidal algebras as well as extended quantized GIM | algebras of Nfold affinization. We show that the quantum | N-toroidal algebras are quotients of the extended

关键词： Generalized intersection matrix | Quantized GIM algebra | Quantum 2-toroidal algebra | Quantum N-toroidal algebra

8. Feature Screening and Error Variance Estimation for Ultrahigh-Dimensional Linear Model with Measurement Errors NSTL国家科技图书文献中心

Cui, Hengjian | Zou, Feng ... - 《Communications in Mathematics and Statistics》 - 2025,13(1) - 139～171 - 共33页

摘要：In this paper, we mainly study the feature | screening and error variance estimation in ultrahigh | -dimensional linear model with errors-in-variables (EV | ). Given that sure independence screening (SIS) method by | marginal Pearson's correlation learning may omit some

关键词： Ultrahigh-dimensional linear model | Measurement error | Feature screening | Error variance estimation | Sure screening property | Asymptotic properties

9. Estimations of Bounds on the Multiplicative Fractional Integral Inequalities Having Exponential Kernels NSTL国家科技图书文献中心

Peng, Yu | Fu, Hao ... - 《Communications in mathematics and statistics》 - 2024,12(2) - 187～211 - 共25页 - 被引量：11

摘要：To investigate the fractional Hermite-Hadamard | -type inequalities, a class of themultiplicative | fractional integrals having exponential kernels is | introduced. Someestimations of upper bounds for the newly | introduced class of integral operators areobtained in terms

关键词： Hermite-Hadamard-type inequalities | Multiplicative fractional integrals | Multiplicatively convex functions | *Differentiable functions | HERMITE-HADAMARD TYPE | OSTROWSKI TYPE INEQUALITIES | LOG-CONVEX FUNCTIONS | EXTENSIONS | CALCULUS | FEJER

10. Signed Zero-Divisor Graphs Over Commutative Rings NSTL国家科技图书文献中心

Lu, Lu | Feng, Lihua ... - 《Communications in mathematics and statistics》 - 2024,12(3) - 463～477 - 共15页

摘要：In this paper, we define signed zero-divisor | graphs over commutative rings and investigate the | interplay between the algebraic properties of the rings | and the combinatorial properties of their | corresponding signed zero-divisor graphs. We investigate the

摘要：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

关键词： EM algorithm | Informative censoring | Inverse probability weighting | Joint modeling | Transformation model

摘要：A 3D T-mesh is generally a cuboid grid which | allows hanging vertices. Here, a hanging vertex is an | interior vertex, but it is not a corner point of eight | cells. Spline function spaces with high order | smoothness over 3D T-meshes have great application prospect

关键词： Trivariate spline | Spline space | Dimension | Hierarchical 3D T-mesh | Space embedding

摘要：Many data that exhibit asymmetrical behavior | can be well modeled with skew-normal random errors | . Moreover, data that arise from a heterogeneous population | can be efficiently analyzed by a finite mixture of | regression models. These observations motivate us to

关键词： Bayesian analysis | Mode regression | Heterogeneous data | Skew-normal distribution | Markov chain Monte Carlo

摘要：Gaussian process (GP) is a stochastic process | that has been successfully applied in finance, black | -box modeling of biosystems, machine learning | , geostatistics, multitask learning or robotics and | reinforcement learning. Effectively estimating the spectral

关键词： Gaussian process | Spectral density | Degree of memory | Lag window | Periodogram | Local Whittle method | Regression method

摘要：In this paper, we propose a stochastic | geometric iterative method (S-GIM) to approximate the high | -resolution 3D models by finite loop subdivision surfaces | . Given an input mesh as the fitting target, the initial | control mesh is generated using the mesh simplification

关键词： Geometric iterative | Surface fitting | Subdivision surface | Stochastic PIA | Stochastic LSPIA

摘要：Motivated by the need of modeling and | inference for high-order integer-valued threshold time | series models, this paper introduces a pth-order two | -regime self-excited threshold integer-valued | autoregressive (SETINAR(2, p)) model. Basic probabilistic and

关键词： Integer-valued time series | SETINAR(2 | p) process | Threshold autoregressive model | Nonlinearity test

摘要：We introduce the notion of quantum N-toroidal | algebras as natural generalization of the quantum | toroidal algebras as well as extended quantized GIM | algebras of Nfold affinization. We show that the quantum | N-toroidal algebras are quotients of the extended

关键词： Generalized intersection matrix | Quantized GIM algebra | Quantum 2-toroidal algebra | Quantum N-toroidal algebra

摘要：In this paper, we mainly study the feature | screening and error variance estimation in ultrahigh | -dimensional linear model with errors-in-variables (EV | ). Given that sure independence screening (SIS) method by | marginal Pearson's correlation learning may omit some

关键词： Ultrahigh-dimensional linear model | Measurement error | Feature screening | Error variance estimation | Sure screening property | Asymptotic properties

摘要：To investigate the fractional Hermite-Hadamard | -type inequalities, a class of themultiplicative | fractional integrals having exponential kernels is | introduced. Someestimations of upper bounds for the newly | introduced class of integral operators areobtained in terms

关键词： Hermite-Hadamard-type inequalities | Multiplicative fractional integrals | Multiplicatively convex functions | *Differentiable functions | HERMITE-HADAMARD TYPE | OSTROWSKI TYPE INEQUALITIES | LOG-CONVEX FUNCTIONS | EXTENSIONS | CALCULUS | FEJER

摘要：In this paper, we define signed zero-divisor | graphs over commutative rings and investigate the | interplay between the algebraic properties of the rings | and the combinatorial properties of their | corresponding signed zero-divisor graphs. We investigate the

关键词： Ring | Ideal | Signed graph | Adjacency matrix | DIAMETER

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