The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the...The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the equivalent conditions of complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space.The results complement the corresponding results in probability space to those for sequences of independent,identically distributed random variables under sublinear expectation space.展开更多
In this paper,we establish some strong laws of large numbers,which are for nonindependent random variables under the framework of sublinear expectations.One of our main results is for blockwise m-dependent random vari...In this paper,we establish some strong laws of large numbers,which are for nonindependent random variables under the framework of sublinear expectations.One of our main results is for blockwise m-dependent random variables,and another is for sub-orthogonal random variables.Both extend the strong law of large numbers for independent random variables under sublinear expectations to the non-independent case.展开更多
In this paper,by utilizing the Marcinkiewicz-Zygmund inequality and Rosenthal-type inequality of negatively superadditive dependent(NSD)random arrays and truncated method,we investigate the complete f-moment convergen...In this paper,by utilizing the Marcinkiewicz-Zygmund inequality and Rosenthal-type inequality of negatively superadditive dependent(NSD)random arrays and truncated method,we investigate the complete f-moment convergence of NSD random variables.We establish and improve a general result on the complete f-moment convergence for Sung’s type randomly weighted sums of NSD random variables under some general assumptions.As an application,we show the complete consistency for the randomly weighted estimator in a nonparametric regression model based on NSD errors.展开更多
Assume that{a_(i),−∞<i<∞}is an absolutely summable sequence of real numbers.We establish the complete q-order moment convergence for the partial sums of moving average processes{X_(n)=Σ_(i=−∞)^(∞)a_(i)Y_(i+...Assume that{a_(i),−∞<i<∞}is an absolutely summable sequence of real numbers.We establish the complete q-order moment convergence for the partial sums of moving average processes{X_(n)=Σ_(i=−∞)^(∞)a_(i)Y_(i+n),n≥1}under some proper conditions,where{Yi,-∞<i<∞}is a doubly infinite sequence of negatively dependent random variables under sub-linear expectations.These results extend and complement the relevant results in probability space.展开更多
In this paper,the author obtains complete convergence for the maximum partial sums of m-widely orthant dependent(m-WOD)random variables sequences under some general conditions.The results extend the complete convergen...In this paper,the author obtains complete convergence for the maximum partial sums of m-widely orthant dependent(m-WOD)random variables sequences under some general conditions.The results extend the complete convergence for m-WOD random variables to a much more general type complete convergence.As the sequences of m-WOD random variables represent a very broad class of dependent sequences,the results improve and generalize the corresponding ones in the literature.展开更多
在实际的自适应滤波系统中普遍存在随机处理延迟和异质测量噪声(如高斯噪声、脉冲噪声等)的问题,而现有的变步长最小均方误差(Variable Step-Size Least Mean Square,VSSLMS)算法在分析时通常假设系统为无延时系统.为了解决上述问题,提...在实际的自适应滤波系统中普遍存在随机处理延迟和异质测量噪声(如高斯噪声、脉冲噪声等)的问题,而现有的变步长最小均方误差(Variable Step-Size Least Mean Square,VSSLMS)算法在分析时通常假设系统为无延时系统.为了解决上述问题,提出一种随机延迟容忍的鲁棒VSSLMS算法,利用Squareplus函数的两个优势:(1)在时延条件下对梯度估计稳定性具有固有平滑性;(2)针对多种类型分布的非线性干扰具有抑制能力.在理论上分析该算法的均方误差和稳态均方误差以评估其性能,并设计系统辨识实验仿真来验证该算法的有效性,且结果与理论分析一致,也优于现有的自适应滤波算法.因此提出的算法不仅表现出更好的稳态性能,在对抗随机时延和多类型测量噪声时也具有更好的鲁棒性.展开更多
Quantile regression(QR)has become an important tool to measure dependence of response variable's quantiles on a number of predictors for heterogeneous data,especially heavy-tailed data and outliers.However,it is q...Quantile regression(QR)has become an important tool to measure dependence of response variable's quantiles on a number of predictors for heterogeneous data,especially heavy-tailed data and outliers.However,it is quite challenging to make statistical inference on distributed high-dimensional QR with missing data due to the distributed nature,sparsity and missingness of data and nondifferentiable quantile loss function.To overcome the challenge,this paper develops a communicationefficient method to select variables and estimate parameters by utilizing a smooth function to approximate the non-differentiable quantile loss function and incorporating the idea of the inverse probability weighting and the penalty function.The proposed approach has three merits.First,it is both computationally and communicationally efficient because only the first-and second-order information of the approximate objective function are communicated at each iteration.Second,the proposed estimators possess the oracle property after a limited number of iterations without constraint on the number of machines.Third,the proposed method simultaneously selects variables and estimates parameters within a distributed framework,ensuring robustness to the specified response probability or propensity score function of the missing data mechanism.Simulation studies and a real example are used to illustrate the effectiveness of the proposed methodologies.展开更多
Growing evidence suggests that abnormal lipid metabolism occurs in amyotrophic lateral sclerosis,even in the presymptomatic stage,implying an etiologic link.However,the genetic mechanism underlying altered lipid level...Growing evidence suggests that abnormal lipid metabolism occurs in amyotrophic lateral sclerosis,even in the presymptomatic stage,implying an etiologic link.However,the genetic mechanism underlying altered lipid levels in amyotrophic lateral sclerosis remains elusive.Therefore,in this study,we performed genetic correlation analysis,a cross-trait meta-analysis,tissue-specific enrichment analysis,and bidirectional two-sample Mendelian randomization analysis of European population to explore whether there is a genetic and causal relationship between lipids and amyotrophic lateral sclerosis.The effect of lipid-lowering drugs on amyotrophic lateral sclerosis was also evaluated using a drug target Mendelian randomization approach.The results showed a positive genetic correlation between amyotrophic lateral sclerosis and both high-density lipoprotein cholesterol and apolipoprotein A1 and identified 71 independent shared loci between amyotrophic lateral sclerosis and high-density lipoprotein cholesterol,as well as 55 independent shared loci between amyotrophic lateral sclerosis and apolipoprotein A1.These shared loci were enriched in the lipid metabolic pathway and the alcohol metabolic pathway.Further Mendelian randomization analysis targeting lipid-lowering drugs showed that single nucleotide polymorphisms within the ACLY and PCSK9 genes had a protective effect against amyotrophic lateral sclerosis risk by decreasing low-density lipoprotein cholesterol.The combination of ACLY and PCSK9 inhibitors has a greater protective effect on amyotrophic lateral sclerosis risk than that of PCSK9 inhibitors alone.In summary,there is a common genetic structure between lipids and amyotrophic lateral sclerosis.Mendelian randomization analysis supports an association between elevated blood lipids and the risk of developing amyotrophic lateral sclerosis,and the use of ACLY or PCSK9 inhibitors may improve disease prognosis.展开更多
Snap-through instability-based mechanical metamaterials(SIMMs)with bistability,multistability,negative stiffness,or excellent energy absorption and dissipation performance play an important role in various advanced fu...Snap-through instability-based mechanical metamaterials(SIMMs)with bistability,multistability,negative stiffness,or excellent energy absorption and dissipation performance play an important role in various advanced functional applications.They can serve as energy absorbers,energy dampers,or mechanical memory and logic computing devices,while also providing amplified force output and faster response time in flexible robots,or implementing sensing functions combined with piezoelectric or triboelectric electricity.However,thus far,research on SIMMs that have non-fixed boundary constraints,proactive responsiveness,multi-physical field cross-coupling,and deep information processing capabilities is still facing significant challenges,potentially hindering the development and cross-field comprehensive applications of truly intelligent SIMMs.Our objective is to furnish a concise categorization of SIMMs and offer direction for innovative design and functional implementations.We have emphasized that the non-fixed boundary constraint will expand the design possibilities,while the use of stimulus-responsive materials and 4D printing technology will create novel opportunities for the design of SIMMs.These advancements are expected to achieve innovative mechanical properties and functions.展开更多
基金supported by Doctoral Scientific Research Starting Foundation of Jingdezhen Ceramic University(Grant No.102/01003002031)Re-accompanying Funding Project of Academic Achievements of Jingdezhen Ceramic University(Grant Nos.215/20506277,215/20506341)。
文摘The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the equivalent conditions of complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space.The results complement the corresponding results in probability space to those for sequences of independent,identically distributed random variables under sublinear expectation space.
文摘In this paper,we establish some strong laws of large numbers,which are for nonindependent random variables under the framework of sublinear expectations.One of our main results is for blockwise m-dependent random variables,and another is for sub-orthogonal random variables.Both extend the strong law of large numbers for independent random variables under sublinear expectations to the non-independent case.
基金supported by the National Social Science Fundation(Grant No.21BTJ040)the Project of Outstanding Young People in University of Anhui Province(Grant Nos.2023AH020037,SLXY2024A001).
文摘In this paper,by utilizing the Marcinkiewicz-Zygmund inequality and Rosenthal-type inequality of negatively superadditive dependent(NSD)random arrays and truncated method,we investigate the complete f-moment convergence of NSD random variables.We establish and improve a general result on the complete f-moment convergence for Sung’s type randomly weighted sums of NSD random variables under some general assumptions.As an application,we show the complete consistency for the randomly weighted estimator in a nonparametric regression model based on NSD errors.
基金Supported by the Academic Achievement Re-cultivation Projects of Jingdezhen Ceramic University(Grant Nos.215/20506341215/20506277)the Doctoral Scientific Research Starting Foundation of Jingdezhen Ceramic University(Grant No.102/01003002031)。
文摘Assume that{a_(i),−∞<i<∞}is an absolutely summable sequence of real numbers.We establish the complete q-order moment convergence for the partial sums of moving average processes{X_(n)=Σ_(i=−∞)^(∞)a_(i)Y_(i+n),n≥1}under some proper conditions,where{Yi,-∞<i<∞}is a doubly infinite sequence of negatively dependent random variables under sub-linear expectations.These results extend and complement the relevant results in probability space.
基金Supported by the Academic Funding Projects for Top Talents in Universities of Anhui Province(gxbjZD2022067)Talent Planning Project of Tongling University(2022tlxyrc32)the Key Grant Project for Academic Leaders of Tongling University(2020tlxyxs31)。
文摘In this paper,the author obtains complete convergence for the maximum partial sums of m-widely orthant dependent(m-WOD)random variables sequences under some general conditions.The results extend the complete convergence for m-WOD random variables to a much more general type complete convergence.As the sequences of m-WOD random variables represent a very broad class of dependent sequences,the results improve and generalize the corresponding ones in the literature.
文摘在实际的自适应滤波系统中普遍存在随机处理延迟和异质测量噪声(如高斯噪声、脉冲噪声等)的问题,而现有的变步长最小均方误差(Variable Step-Size Least Mean Square,VSSLMS)算法在分析时通常假设系统为无延时系统.为了解决上述问题,提出一种随机延迟容忍的鲁棒VSSLMS算法,利用Squareplus函数的两个优势:(1)在时延条件下对梯度估计稳定性具有固有平滑性;(2)针对多种类型分布的非线性干扰具有抑制能力.在理论上分析该算法的均方误差和稳态均方误差以评估其性能,并设计系统辨识实验仿真来验证该算法的有效性,且结果与理论分析一致,也优于现有的自适应滤波算法.因此提出的算法不仅表现出更好的稳态性能,在对抗随机时延和多类型测量噪声时也具有更好的鲁棒性.
基金supported by the National Key R&D Program of China under Grant No.2022YFA1003701the Open Research Fund of Yunnan Key Laboratory of Statistical Modeling and Data Analysis,Yunnan University under Grant No.SMDAYB2023004。
文摘Quantile regression(QR)has become an important tool to measure dependence of response variable's quantiles on a number of predictors for heterogeneous data,especially heavy-tailed data and outliers.However,it is quite challenging to make statistical inference on distributed high-dimensional QR with missing data due to the distributed nature,sparsity and missingness of data and nondifferentiable quantile loss function.To overcome the challenge,this paper develops a communicationefficient method to select variables and estimate parameters by utilizing a smooth function to approximate the non-differentiable quantile loss function and incorporating the idea of the inverse probability weighting and the penalty function.The proposed approach has three merits.First,it is both computationally and communicationally efficient because only the first-and second-order information of the approximate objective function are communicated at each iteration.Second,the proposed estimators possess the oracle property after a limited number of iterations without constraint on the number of machines.Third,the proposed method simultaneously selects variables and estimates parameters within a distributed framework,ensuring robustness to the specified response probability or propensity score function of the missing data mechanism.Simulation studies and a real example are used to illustrate the effectiveness of the proposed methodologies.
基金funded by the National Natural Science Foundation of China,Nos.82401670(to KX),81873784(to DF),and 82071426(to DF)the Clinical Cohort Construction Program of Peking University Third Hospital,No.BYSYDL2019002(to DF)the Postdoctoral Fellowship Program of China Postdoctoral Science Foundation,No.GZC20230152(to KX).
文摘Growing evidence suggests that abnormal lipid metabolism occurs in amyotrophic lateral sclerosis,even in the presymptomatic stage,implying an etiologic link.However,the genetic mechanism underlying altered lipid levels in amyotrophic lateral sclerosis remains elusive.Therefore,in this study,we performed genetic correlation analysis,a cross-trait meta-analysis,tissue-specific enrichment analysis,and bidirectional two-sample Mendelian randomization analysis of European population to explore whether there is a genetic and causal relationship between lipids and amyotrophic lateral sclerosis.The effect of lipid-lowering drugs on amyotrophic lateral sclerosis was also evaluated using a drug target Mendelian randomization approach.The results showed a positive genetic correlation between amyotrophic lateral sclerosis and both high-density lipoprotein cholesterol and apolipoprotein A1 and identified 71 independent shared loci between amyotrophic lateral sclerosis and high-density lipoprotein cholesterol,as well as 55 independent shared loci between amyotrophic lateral sclerosis and apolipoprotein A1.These shared loci were enriched in the lipid metabolic pathway and the alcohol metabolic pathway.Further Mendelian randomization analysis targeting lipid-lowering drugs showed that single nucleotide polymorphisms within the ACLY and PCSK9 genes had a protective effect against amyotrophic lateral sclerosis risk by decreasing low-density lipoprotein cholesterol.The combination of ACLY and PCSK9 inhibitors has a greater protective effect on amyotrophic lateral sclerosis risk than that of PCSK9 inhibitors alone.In summary,there is a common genetic structure between lipids and amyotrophic lateral sclerosis.Mendelian randomization analysis supports an association between elevated blood lipids and the risk of developing amyotrophic lateral sclerosis,and the use of ACLY or PCSK9 inhibitors may improve disease prognosis.
基金financial support provided by the National Key R&D Program of China(2022YFB3805700)the National Natural Science Foundation of China(Grant Nos.12072094 and 12172106)+1 种基金the open research fund of Suzhou Laboratory(No.SZLAB-1508-2024ZD016)the Self-Planned Task(No.SL20230101)of Songjiang Laboratory,Harbin Institute of Technology。
文摘Snap-through instability-based mechanical metamaterials(SIMMs)with bistability,multistability,negative stiffness,or excellent energy absorption and dissipation performance play an important role in various advanced functional applications.They can serve as energy absorbers,energy dampers,or mechanical memory and logic computing devices,while also providing amplified force output and faster response time in flexible robots,or implementing sensing functions combined with piezoelectric or triboelectric electricity.However,thus far,research on SIMMs that have non-fixed boundary constraints,proactive responsiveness,multi-physical field cross-coupling,and deep information processing capabilities is still facing significant challenges,potentially hindering the development and cross-field comprehensive applications of truly intelligent SIMMs.Our objective is to furnish a concise categorization of SIMMs and offer direction for innovative design and functional implementations.We have emphasized that the non-fixed boundary constraint will expand the design possibilities,while the use of stimulus-responsive materials and 4D printing technology will create novel opportunities for the design of SIMMs.These advancements are expected to achieve innovative mechanical properties and functions.
