We establish some results on the complete moment convergence for weighted sums of widely orthant-dependent(WOD)random variables,which improve and extend the corresponding results of Y.F.Wu,M.G.Zhai,and J.Y.Peng[J.Math...We establish some results on the complete moment convergence for weighted sums of widely orthant-dependent(WOD)random variables,which improve and extend the corresponding results of Y.F.Wu,M.G.Zhai,and J.Y.Peng[J.Math.Inequal.,2019,13(1):251–260].As an application of the main results,we investigate the complete consistency for the estimator in a nonparametric regression model based on WOD errors and provide some simulations to verify our theoretical results.展开更多
In this paper, we establish a complete convergence result and a complete moment convergence result for weighted sums of widely orthant dependent random variables under mild conditions. As corollaries, the correspondin...In this paper, we establish a complete convergence result and a complete moment convergence result for weighted sums of widely orthant dependent random variables under mild conditions. As corollaries, the corresponding results for weighted sums of extended negatively orthant dependent random variables are also obtained, which generalize and improve the related known works in the literature.展开更多
In this paper,we study the complete f-moment convergence for widely orthant dependent(WOD,for short)random variables.A general result on complete f-moment convergence for arrays of rowwise WOD random variables is obta...In this paper,we study the complete f-moment convergence for widely orthant dependent(WOD,for short)random variables.A general result on complete f-moment convergence for arrays of rowwise WOD random variables is obtained.As applications,we present some new results on complete f-moment convergence for WOD random variables.We also give an application to nonparametric regression models based onWOD errors by using the complete convergence that we established.Finally,the choice of the fixed design points and the weight functions for the nearest neighbor estimator are proposed,and a numerical simulation is provided to verify the validity of the theoretical result.展开更多
In this paper, complete moment convergence for widely orthant dependent random vari- ables is investigated under some mild conditions. For arrays of rowwise widely orthant dependent random variables, the main results ...In this paper, complete moment convergence for widely orthant dependent random vari- ables is investigated under some mild conditions. For arrays of rowwise widely orthant dependent random variables, the main results extend recent results on complete convergence to complete moment convergence. These results on complete moment convergence are shown to yield new results on complete integral convergence.展开更多
背景:骨质疏松性骨折是骨质疏松症最严重的并发症,既往的研究已经证实了肠道菌群对骨骼组织具有调节作用,肠道菌群与骨质疏松性骨折有着重要关系,但是二者之间的因果关系尚不清楚。目的:使用孟德尔随机化(MR)方法探索肠道菌群与骨质疏...背景:骨质疏松性骨折是骨质疏松症最严重的并发症,既往的研究已经证实了肠道菌群对骨骼组织具有调节作用,肠道菌群与骨质疏松性骨折有着重要关系,但是二者之间的因果关系尚不清楚。目的:使用孟德尔随机化(MR)方法探索肠道菌群与骨质疏松性骨折之间的因果关系。方法:从IEU Open GWAS数据库和芬兰数据库R9中分别获得了肠道菌群和骨质疏松性骨折的GWAS数据集,以肠道菌群作为暴露因素,骨质疏松性骨折作为结局变量,采用随机效应逆方差加权法、MR-Egger回归、加权中位数法、简单模型法以及加权模型法进行孟德尔随机化分析来评估肠道菌群与骨质疏松性骨折之间是否存在因果关系,通过敏感性分析来检验结果的可靠性和稳健性,并进行反向孟德尔随机化分析来进一步验证正向孟德尔随机化分析中确定的因果关系。结果与结论:①此孟德尔随机化分析结果表明,肠道菌群与骨质疏松性骨折之间存在因果关系。放线菌目(OR=1.562,95%CI:1.027-2.375,P=0.037)、放线菌科(OR=1.561,95%CI:1.027-2.374,P=0.037)、放线菌属(OR=1.544,95%CI:1.130-2.110,P=0.006)、丁酸球菌属(OR=1.781,95%CI:1.194-2.657,P=0.005)、粪球菌属-2(OR=1.550,95%CI:1.068-2.251,P=0.021)、Family ⅩⅢ UCG-001属(OR=1.473,95%CI:1.001-2.168,P=0.049)、产甲烷短杆菌属(OR=1.274,95%CI:1.001-1.621,P=0.049)、罗氏菌属(OR=1.429,95%CI:1.015-2.013,P=0.041)的丰度升高,会增加患者骨质疏松性骨折的风险;②拟杆菌纲(OR=0.660,95%CI:0.455-0.959,P=0.029)、拟杆菌目(OR=0.660,95%CI:0.455-0.959,P=0.029)、克里斯滕森氏菌科(OR=0.725,95%CI:0.529-0.995,P=0.047)、瘤胃球菌科(OR=0.643,95%CI:0.443-0.933,P=0.020)、肠杆菌属(OR=0.558,95%CI:0.395-0.788,P=0.001)、直肠真杆菌属(OR=0.631,95%CI:0.435-0.916,P=0.016)、毛螺菌科-UCG008(OR=0.738,95%CI:0.546-0.998,P=0.048)、瘤胃梭菌属-9(OR=0.492,95%CI:0.324-0.746,P=0.001)的丰度升高,会降低患者骨质疏松性骨折的风险。③文章通过孟德尔随机化方法发现了16种与骨质疏松性骨折相关的肠道菌群,即以肠道菌群为暴露因素,骨质疏松性骨折为结局变量,8种肠道菌群与骨质疏松性骨折呈正向因果关联,另外8种肠道菌群与骨质疏松性骨折呈负向因果关联。④此研究结果不仅为临床上骨质疏松性骨折的早期预测及潜在治疗靶点确定了新的生物标志物,还为骨组织工程中研究通过肠道菌群改善骨质疏松性骨折的发生与预后提供了实验基础和理论依据。展开更多
背景:在许多观察性研究中表明,血浆凝血因子与慢性肾脏病密切相关。尽管如此,血浆凝血因子与慢性肾脏病之间的因果关系仍尚未完全揭示清楚。目的:采用双样本孟德尔随机化方法评估和探讨血浆凝血因子与慢性肾脏病风险之间的关联。方法:从...背景:在许多观察性研究中表明,血浆凝血因子与慢性肾脏病密切相关。尽管如此,血浆凝血因子与慢性肾脏病之间的因果关系仍尚未完全揭示清楚。目的:采用双样本孟德尔随机化方法评估和探讨血浆凝血因子与慢性肾脏病风险之间的关联。方法:从GWAS Catalog数据库中获取不同ID号的39种血浆凝血因子的全基因组关联研究数据,从开放全基因组关联研究数据库(IEU Open GWAS)中获取慢性肾脏病全基因组关联分析数据(ebi-a-GCST003374),其中慢性肾脏病数据集的样本量为117165例,单核苷酸多态性位点数量为2179497个。使用逆方差加权法、MR-Egger回归法、加权中位数法、加权模式法和简单模式法来探讨因果关系;同时,使用CochranQ检验来评估单核苷酸多态性位点的差异性。通过孟德尔随机化-Egger截距测试来验证单核苷酸多态性位点的水平多效性。利用“留一法”进行敏感性分析,以确定孟德尔随机化结果是否会受到单一单核苷酸多态性位点的干扰。结果与结论:(1)通过对39种血浆凝血因子和慢性肾脏病的孟德尔随机化分析,总共发现4种血浆凝血因子与慢性肾脏病相关。血浆凝血因子(FⅤ)水平(OR=0.922,95%CI:0.875-0.971,P=0.002)、血浆FⅦ水平(OR=0.719,95%CI:0.521-0.991,P=0.044)、血浆FⅩa水平(OR=1.113,95%CI:1.009-1.227,P=0.032)、血浆抗凝血Ⅲ水平(OR=0.849,95%CI:0.739-0.975,P=0.020)与慢性肾脏病之间均有显著性意义,P均<0.05;未检测到水平多效性和异质性。(2)基于遗传流行病学方法中双样本孟德尔随机化分析,凝血因子中血浆FⅦ水平、血浆抗凝血酶Ⅲ水平、血浆FⅤ水平是慢性肾脏病发生风险的保护因素,凝血因子中血浆FⅩa水平是慢性肾脏病发生风险的危险因素。(3)上述结果证实,血浆凝血因子与慢性肾脏病之间存在显著的潜在因果关系,虽然文章的数据分析研究的是国际数据库的欧洲人群,但这些数据分析对中国慢性肾脏病与凝血因子的研究有参考价值,对慢性肾脏病的遗传流行病学研究提供了创新的见解,也可为中国相关数据库的深入研究提供一定的参考价值,包括中国健康与养老追踪调查数据库等;未来研究可以重点关注相关凝血因子对慢性肾脏病患者体内低凝或高凝状态的评估。展开更多
基金China(Grant Nos.11671012,11871072)the Natural Science Foundation of Anhui Province(1808085QA03,1908085QA01,1908085QA07)+1 种基金the Provincial Natural Science Research Project of Anhui Colleges(KJ2019A0001,KJ2019A0003)the Students Innovative Training Project of Anhui University(S201910357342).
文摘We establish some results on the complete moment convergence for weighted sums of widely orthant-dependent(WOD)random variables,which improve and extend the corresponding results of Y.F.Wu,M.G.Zhai,and J.Y.Peng[J.Math.Inequal.,2019,13(1):251–260].As an application of the main results,we investigate the complete consistency for the estimator in a nonparametric regression model based on WOD errors and provide some simulations to verify our theoretical results.
基金Supported by National Natural Science Foundation of China(Grant No.11271161)
文摘In this paper, we establish a complete convergence result and a complete moment convergence result for weighted sums of widely orthant dependent random variables under mild conditions. As corollaries, the corresponding results for weighted sums of extended negatively orthant dependent random variables are also obtained, which generalize and improve the related known works in the literature.
基金Supported by the National Natural Science Foundation of China(Grant Nos.11671012,11871072,11701004 and11701005)the Natural Science Foundation of Anhui Province(Grant Nos.1808085QA03,1908085QA01 and1908085QA07)+1 种基金the Provincial Natural Science Research Project of Anhui Colleges(Grant No.KJ2019A0003)the Project on Reserve Candidates for Academic and Technical Leaders of Anhui Province(Grant No.2017H123)
文摘In this paper,we study the complete f-moment convergence for widely orthant dependent(WOD,for short)random variables.A general result on complete f-moment convergence for arrays of rowwise WOD random variables is obtained.As applications,we present some new results on complete f-moment convergence for WOD random variables.We also give an application to nonparametric regression models based onWOD errors by using the complete convergence that we established.Finally,the choice of the fixed design points and the weight functions for the nearest neighbor estimator are proposed,and a numerical simulation is provided to verify the validity of the theoretical result.
基金Supported by the National Natural Science Foundation of China(Grant Nos.11671012,11501004 and 11501005)the Natural Science Foundation of Anhui Province(Grant No.1508085J06)+1 种基金the Key Projects for Academic Talent of Anhui Province(Grant No.gxbjZD2016005)the Research Teaching Model Curriculum of Anhui University(Grant No.xjyjkc1407)
文摘In this paper, complete moment convergence for widely orthant dependent random vari- ables is investigated under some mild conditions. For arrays of rowwise widely orthant dependent random variables, the main results extend recent results on complete convergence to complete moment convergence. These results on complete moment convergence are shown to yield new results on complete integral convergence.
文摘背景:骨质疏松性骨折是骨质疏松症最严重的并发症,既往的研究已经证实了肠道菌群对骨骼组织具有调节作用,肠道菌群与骨质疏松性骨折有着重要关系,但是二者之间的因果关系尚不清楚。目的:使用孟德尔随机化(MR)方法探索肠道菌群与骨质疏松性骨折之间的因果关系。方法:从IEU Open GWAS数据库和芬兰数据库R9中分别获得了肠道菌群和骨质疏松性骨折的GWAS数据集,以肠道菌群作为暴露因素,骨质疏松性骨折作为结局变量,采用随机效应逆方差加权法、MR-Egger回归、加权中位数法、简单模型法以及加权模型法进行孟德尔随机化分析来评估肠道菌群与骨质疏松性骨折之间是否存在因果关系,通过敏感性分析来检验结果的可靠性和稳健性,并进行反向孟德尔随机化分析来进一步验证正向孟德尔随机化分析中确定的因果关系。结果与结论:①此孟德尔随机化分析结果表明,肠道菌群与骨质疏松性骨折之间存在因果关系。放线菌目(OR=1.562,95%CI:1.027-2.375,P=0.037)、放线菌科(OR=1.561,95%CI:1.027-2.374,P=0.037)、放线菌属(OR=1.544,95%CI:1.130-2.110,P=0.006)、丁酸球菌属(OR=1.781,95%CI:1.194-2.657,P=0.005)、粪球菌属-2(OR=1.550,95%CI:1.068-2.251,P=0.021)、Family ⅩⅢ UCG-001属(OR=1.473,95%CI:1.001-2.168,P=0.049)、产甲烷短杆菌属(OR=1.274,95%CI:1.001-1.621,P=0.049)、罗氏菌属(OR=1.429,95%CI:1.015-2.013,P=0.041)的丰度升高,会增加患者骨质疏松性骨折的风险;②拟杆菌纲(OR=0.660,95%CI:0.455-0.959,P=0.029)、拟杆菌目(OR=0.660,95%CI:0.455-0.959,P=0.029)、克里斯滕森氏菌科(OR=0.725,95%CI:0.529-0.995,P=0.047)、瘤胃球菌科(OR=0.643,95%CI:0.443-0.933,P=0.020)、肠杆菌属(OR=0.558,95%CI:0.395-0.788,P=0.001)、直肠真杆菌属(OR=0.631,95%CI:0.435-0.916,P=0.016)、毛螺菌科-UCG008(OR=0.738,95%CI:0.546-0.998,P=0.048)、瘤胃梭菌属-9(OR=0.492,95%CI:0.324-0.746,P=0.001)的丰度升高,会降低患者骨质疏松性骨折的风险。③文章通过孟德尔随机化方法发现了16种与骨质疏松性骨折相关的肠道菌群,即以肠道菌群为暴露因素,骨质疏松性骨折为结局变量,8种肠道菌群与骨质疏松性骨折呈正向因果关联,另外8种肠道菌群与骨质疏松性骨折呈负向因果关联。④此研究结果不仅为临床上骨质疏松性骨折的早期预测及潜在治疗靶点确定了新的生物标志物,还为骨组织工程中研究通过肠道菌群改善骨质疏松性骨折的发生与预后提供了实验基础和理论依据。
文摘背景:在许多观察性研究中表明,血浆凝血因子与慢性肾脏病密切相关。尽管如此,血浆凝血因子与慢性肾脏病之间的因果关系仍尚未完全揭示清楚。目的:采用双样本孟德尔随机化方法评估和探讨血浆凝血因子与慢性肾脏病风险之间的关联。方法:从GWAS Catalog数据库中获取不同ID号的39种血浆凝血因子的全基因组关联研究数据,从开放全基因组关联研究数据库(IEU Open GWAS)中获取慢性肾脏病全基因组关联分析数据(ebi-a-GCST003374),其中慢性肾脏病数据集的样本量为117165例,单核苷酸多态性位点数量为2179497个。使用逆方差加权法、MR-Egger回归法、加权中位数法、加权模式法和简单模式法来探讨因果关系;同时,使用CochranQ检验来评估单核苷酸多态性位点的差异性。通过孟德尔随机化-Egger截距测试来验证单核苷酸多态性位点的水平多效性。利用“留一法”进行敏感性分析,以确定孟德尔随机化结果是否会受到单一单核苷酸多态性位点的干扰。结果与结论:(1)通过对39种血浆凝血因子和慢性肾脏病的孟德尔随机化分析,总共发现4种血浆凝血因子与慢性肾脏病相关。血浆凝血因子(FⅤ)水平(OR=0.922,95%CI:0.875-0.971,P=0.002)、血浆FⅦ水平(OR=0.719,95%CI:0.521-0.991,P=0.044)、血浆FⅩa水平(OR=1.113,95%CI:1.009-1.227,P=0.032)、血浆抗凝血Ⅲ水平(OR=0.849,95%CI:0.739-0.975,P=0.020)与慢性肾脏病之间均有显著性意义,P均<0.05;未检测到水平多效性和异质性。(2)基于遗传流行病学方法中双样本孟德尔随机化分析,凝血因子中血浆FⅦ水平、血浆抗凝血酶Ⅲ水平、血浆FⅤ水平是慢性肾脏病发生风险的保护因素,凝血因子中血浆FⅩa水平是慢性肾脏病发生风险的危险因素。(3)上述结果证实,血浆凝血因子与慢性肾脏病之间存在显著的潜在因果关系,虽然文章的数据分析研究的是国际数据库的欧洲人群,但这些数据分析对中国慢性肾脏病与凝血因子的研究有参考价值,对慢性肾脏病的遗传流行病学研究提供了创新的见解,也可为中国相关数据库的深入研究提供一定的参考价值,包括中国健康与养老追踪调查数据库等;未来研究可以重点关注相关凝血因子对慢性肾脏病患者体内低凝或高凝状态的评估。
